Answer:
(a) The time until overflow is 649 s
(b) The time until overflow is 355 s
Explanation:
The volume as a function of time can be expressed as
[tex]V(t) = V_0+(q_i-q_o)*t[/tex]
If the tank is initially half full, V(0) = V0 = 4/2 = 2 m3.
With ρ=1000 kg/m3, the volume flows are
Flow in = 6.33 kg/s * 0.001 m3/kg = 0.00633 m3/s
Flow out = 3.25 kg/s * 0.001 m3/kg = 0.00325 m3/s
The time until overflow (V(t)=4 m3) is
[tex]V(t) = 2+(0.00633 - 0.00325)*t=2+0.00308*t=4\\\\t=(4-2)/0.00308 = 649.4 s=11 min[/tex]
If the flows are
Flow in = 6.83 kg/s * 0.001 m3/kg = 0.00683 m3/s
Flow out = 3.50 kg/s * 0.001 m3/kg = 0.0035 m3/s
And the tank is initially 2/3 full (V(0)=2.67 m3)
The time until overflow is
[tex]V(t) = 2.67+(0.00683 - 0.00350)*t=2.67+0.00375*t=4\\\\t=(4-2,67)/0.00375 = 354.67 s =6 min[/tex]
Which statement about protons is false?
1. Protons have the same magnitude of charge as electrons but are opposite in sign.
2. Protons have about the same mass as neutrons.
3. All atoms have protons.
4. Protons have about the same mass as electrons.
Only one can be selected.
Answer: The correct answer is Option 4.
Explanation:
There are three sub-atomic particles present in an atom. They are: electrons, protons and neutrons.
Protons constitute in each and every atom.
The charge on proton is of equal magnitude as that of electron but having opposite sign. Proton carry a positive charge and electron carry a negative charge.
Protons and neutrons, both determine the mass of an atom.
Mass of 1 proton = 1.007276 u
Mass of 1 neutron = 1.008664 u
Mass of 1 electron = 0.00054858 u
Mass of proton is almost same as that of neutron but is more than the mass of electron.
Hence, the correct answer is Option 4.
Final answer:
The false statement about protons is that they have about the same mass as electrons. In reality, a proton's mass is approximately 1836 times greater than an electron's mass, making this statement incorrect.
Explanation:
The statement about protons that is false is: Protons have about the same mass as electrons.
Let's review the statements to identify the false one:
Protons have the same magnitude of charge as electrons but are opposite in sign. This statement is true since protons and electrons have charges with equal magnitude but opposite signs, with protons having a +1 charge and electrons a -1 charge.Protons have about the same mass as neutrons. This statement is true as protons and neutrons are similar in mass, both approximately 1.67 × 10⁻²⁴ grams, or one atomic mass unit (amu).All atoms have protons. This statement is true as protons are a fundamental component of all atomic nuclei.Protons have about the same mass as electrons. This statement is false because the mass of a proton is about 1836 times greater than that of an electron. Therefore, the proton has significantly more mass compared to the electron.Understanding the basic properties of subatomic particles, such as their mass and charge, is essential in chemistry.
Enter your answer in the box provided. How many grams of helium must be added to a balloon containing 6.24 g helium gas to double its volume? Assume no change in temperature or pressure. g
Answer : The mass of helium gas added must be 12.48 grams.
Explanation : Given,
Mass of helium (He) gas = 6.24 g
Molar mass of helium = 4 g/mole
First we have to calculate the moles of helium gas.
[tex]\text{Moles of }He=\frac{\text{Mass of }He}{\text{Molar mass of }He}=\frac{6.24g}{4g/mole}=1.56moles[/tex]
Now we have to calculate the moles of helium gas at doubled volume.
According to the Avogadro's law, the volume of gas is directly proportional to the number of moles of gas at same pressure and temperature. That means,
[tex]V\propto n[/tex]
or,
[tex]\frac{V_1}{V_2}=\frac{n_1}{n_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas = V
[tex]V_2[/tex] = final volume of gas = 2V
[tex]n_1[/tex] = initial moles of gas = 1.56 mole
[tex]n_2[/tex] = final moles of gas = ?
Now we put all the given values in this formula, we get
[tex]\frac{V}{2V}=\frac{1.56mole}{n_2}[/tex]
[tex]n_2=3.12mole[/tex]
Now we have to calculate the mass of helium gas at doubled volume.
[tex]\text{Mass of }He=\text{Moles of }He\times \text{Molar mass of }He[/tex]
[tex]\text{Mass of }He=3.12mole\times 4g/mole=12.48g[/tex]
Therefore, the mass of helium gas added must be 12.48 grams.
Final answer:
To double the volume of a helium balloon at constant temperature and pressure, an additional 6.24 grams of helium must be added, resulting in a total of 12.48 grams of helium in the balloon.
Explanation:
The question involves the concept of the molar volume of a gas, which is a central principle in chemistry, particularly in the context of gases under the ideal gas law. To double the volume of helium in a balloon at constant temperature and pressure, the amount of helium in moles must be doubled as well. If initially there are 6.24 grams of helium in the balloon, we first convert this mass to moles using the molar mass of helium (4.00 g/mol) and then calculate the additional moles (and hence grams) of helium needed to double the volume.
Initial moles of helium (n1): 6.24 g / 4.00 g/mol = 1.56 moles
To double the volume, we need another 1.56 moles of helium. The mass of additional helium required is:
Additional mass (Δm): 1.56 moles x 4.00 g/mol = 6.24 g
Therefore, to double the volume of the helium balloon, an additional 6.24 grams of helium gas must be added.
A gas mixture has a total pressure of 0.51 atm and consists of He and Ne. If the partial pressure of He in the mixture is 0.32 atm, what is the partial pressure of the Ne in the mixture? Enter your answer in the provided box. atm
The concept at hand is Dalton's Law of Partial Pressures, stating that the total pressure of a mixture of gases is the sum of their individual partial pressures. Knowing the total pressure and the partial pressure of He, you can calculate the partial pressure of Ne as 0.19 atm.
Explanation:The question revolves around the concept known as Dalton's Law of Partial Pressures. In a mixture of non-reactive gasses, Dalton's Law states that the total pressure exerted by the mixture of gases is the sum of the partial pressures of each component gas. In simpler terms, total pressure is the sum of the pressures of each individual gas.
If the total pressure of a gas mixture consisting of He (Helium) and Ne (Neon) is given as 0.51 atm, and we know the partial pressure of He is 0.32 atm, then we can calculate the partial pressure of Ne. Since the partial pressure of any given gas in a mixture is part of the total pressure, subtracting the known He partial pressure from the total will provide the Ne partial pressure:
Total pressure - He partial pressure = Ne partial pressure
So, 0.51 atm (total) - 0.32 atm (He) = 0.19 atm (Ne).
Hence, the partial pressure of the Ne in the mixture is 0.19 atm.
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A species that is formed when a base gains conjugate base. b. conjugate acid. a proton is a c. strong base d. strong acid.
Answer:
The correct option is: conjugate acid
Explanation:
Bases are the chemical substances that are proton acceptors and electron-pair donors. Therefore, when a base accepts a hydrogen proton from an acid it forms a conjugate acid.
Therefore, conjugate acids are formed when a base accepts a hydrogen proton from an acid. Also, if the base is a weak base then its conjugate acid is strong. Whereas, if the base is a strong base then the conjugate acid is weak.
A species that forms when a base gains a proton is called a conjugate acid. This concept is a part of acid-base reactions involving conjugate acid-base pairs, where the strength of conjugates is inversely related to their parent compounds.
Explanation:When a base accepts a proton (H+), it becomes a conjugate acid. This process can be observed in acid-base reactions where a conjugate acid-base pair is formed; the base gains a proton to become the conjugate acid. Conversely, when an acid donates a proton, what remains is known as the conjugate base of that acid. The strength of these conjugate species is inversely related to their parent compounds. Notably, a conjugate base arises from a weak acid, and as such, may exhibit significant strength as a base itself, such as the acetate ion which is capable of accepting a hydrogen ion from water to produce acetic acid and a hydroxide ion.
Explain what the horizontal and vertical lines of a Fischer Projection indicate about the structure of the molecule
Explanation:
Fischer Projections allow to represent the three dimensional molecular structures in two dimensional environment without the change in the properties or the structural integrity of the compound. It consists of horizontal as well as vertical lines both, where horizontal lines represent atoms which are pointed toward viewer while vertical line represents atoms which are pointed away from viewer. The point of the intersection between horizontal and vertical lines represents central carbon.
What is the percent s character in an sp^2 hybridized orbital? 25% 33% 50% 67% 75%
Answer:
The correct option is: B. 33%
Explanation:
Orbital hybridisation refers to the mixing of atomic orbitals of the atoms in order to form new hybrid orbitals. The concept of orbital hybridization is used to explain the structure of a molecule.
The sp² hybrid orbitals are formed by the hybridization of one 2s orbital and two 2p orbitals. The three sp² hybrid orbitals formed have 33% s character and 67% p character.
Answer:
It's B. 33%
Explanation:
Because it refers to the mixing of atomic orbitals of the atoms in order to form new hybrid orbitals. The concept of orbital hybridization is used to explain the structure of a molecule.
Also, the sp² hybrid orbitals are formed by the hybridization of one 2s orbital and two 2p orbitals. Then the three sp² hybrid orbitals formed have 33% s character and 67% p character.
A runner wants to run 10.4 km . She knows that her running pace is 7.6 mi/h .
How many minutes must she run? Hint: Use 7.6 mi/h as a conversion factor between distance and time. Express your answer using two significant figures.
Answer:
The runner should run 51 minutes.
Explanation:
Distance wished by runner to cover = d = 10.4 km
Time taken by the runner to cover 10.4 km = T
Speed of the runner = 7.6 mile/hour
1 mile = 1.60934 km
1 hour = 60 min
[tex]7.6 mile/Hour=\frac{7.6\times 1.60934 km}{1\times 60 min}=0.2038 km/min[/tex]
[tex]Speed=\frac{Distance}{Time}[/tex]
[tex]T=\frac{10.4 km}{0.2038 km/min}=51.0179 min\approx 51 minutes[/tex]
The runner should run 51 minutes.
Diet cola drinks have a pH of about 3.0, while milk has a pHof
about 7.0. How many times greater is theH3O+
concentration in diet cola than inmilk?
A. 2.3 times higher in diet cola than in milk.
B. 400 times higher in diet cola than in milk.
C. 0.43 times higher in diet cola than in milk.
D. 1,000 times higher in diet cola than in milk.
E. 10,000 times higher in diet cola than in milk.
Answer:
[tex]H_{3}O^{+}[/tex] concentration is 10000 times higher in diet cola than milk
Explanation:
pH is negative logarithm of concentration of [tex]H_{3}O^{+}[/tex] in molarity. It is expressed as: [tex]pH=-log[H_{3}O^{+}][/tex]So, [tex][H_{3}O^{+}]=10^{-pH}[/tex](M)For diet cola, [tex][H_{3}O^{+}]=10^{-3.0}[/tex] (M)For milk, [tex][H_{3}O^{+}]=10^{-7.0}[/tex] (M)So, [tex]\frac{[H_{3}O^{+}](diet cola)}{[H_{3}O^{+}](milk)}=\frac{10^{-3.0}}{10^{-7.0}}=10^{4}=10000[/tex]Hence [tex]H_{3}O^{+}[/tex] concentration is 10000 times higher in diet cola than milkFinal answer:
The concentration of hydronium ions (H3O+) is 10,000 times higher in diet cola with a pH of 3.0 than in milk with a pH of 7.0, due to the logarithmic nature of the pH scale where each pH unit represents a tenfold change in H3O+ concentration.
Explanation:
The pH scale is logarithmic, meaning that each whole number on the pH scale represents a tenfold difference in hydronium ion concentration. Therefore, a change in pH unit corresponds to a change of a factor of 10 in the H3O+ concentration. Diet cola has a pH of about 3.0, and milk has a pH of about 7.0, a difference of 4 pH units. This implies that the hydronium ion concentration in diet cola is 104 times greater than in milk, as each unit difference accounts for a tenfold increase. Thus, the H3O+ concentration is 10,000 times higher in diet cola than in milk.
Round 51.32975248 to the requested number of significant figure a. 2 significant figures 5 c. 6 significant figures b. S significant figures d. 7 significant figures
Answer:
a) 51.00000000 c) 51.32980000 d) 51.32975000
Explanation:
your welcome :)
Enter your answer in the provided box. Calculate the composition of the following solution in mass/volume % 0.600 g NaOH per 2.00 mL % NaOH
Answer:
30 m/v %
Explanation:
First, we need to understand the definition of mass/volume percentage (m/v %). This is a way of expressing concentration of a substance and it means grams of a determined compound per 100 mL of solution:
m/v% = g of X substance/100 mL of solution
Having said that, if we have 0.600 g of NaOH per 2.00 mL of solution, then in 100 mL of solution we will have:
2.00 mL solution ---- 0.600 g of NaOH
100 mL solution---- x=(100 mL × 0.600 g NaOH)/ 2.00 mL = 30 g = 30 %m/v
So, the concentration of a solution containing 0.600 g of NaOH per 2.00 mL is a 30 m/v% solution.-
A double pipe heat exchanger is to be designed to heat 1 kg/s of a cold fluid from 30°C to 60°C using 2 kg/s of a hot fluid at 100°C. The two streams have equal specific heat capacities and overall heat transfer coefficient. Calculate the ratio of heat transfer areas of counter current to co-current. a) 1.142 b) 0.875 c) 0.927 d) 1.077
Answer:
big question
Explanation:
Write 605,400.34 in Scientific Notation with 4 significant figures.
Answer : The correct answer is, [tex]6.054\times 10^5[/tex]
Explanation :
Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
For example :
5000 is written as [tex]5.0\times 10^3[/tex]
889.9 is written as [tex]8.899\times 10^{-2}[/tex]
In this examples, 5000 and 889.9 are written in the standard notation and [tex]5.0\times 10^3[/tex] and [tex]8.899\times 10^{-2}[/tex] are written in the scientific notation.
[tex]8.89\times 10^{-2}[/tex] this is written in the scientific notation and the standard notation of this number will be, 0.00889.
If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.
As we are given the 605,400.34 in standard notation.
Now converting this into scientific notation, we get:
[tex]\Rightarrow 605,400.34=6.054\times 10^5[/tex]
As, the decimal point is shifting to left side, thus the power of 10 is positive.
Hence, the correct answer is, [tex]6.054\times 10^5[/tex]
Which statement about entropy is true? O Non-spontaneous reactions sometimes will happen all by themselves. O Entropy stops when pure substances are in solid state The entropy of the universe is increasing. o During a change of state there is no change in entropy.
Answer:
Explanation:
Entropy stops when pure substances are in solid state: false. The entropy is 0 when the temperature is 0K, not by the solid state.The entropy of the universe is increasing. true. The second law of thermodynamics says: The level of disorder in the universe is steadily increasing.During a change of state there is no change in entropy. false. A change of state occurs with a change of the energy of the system and a change of energy always will change the entropy of the systemNon-spontaneous reactions sometimes will happen all by themselves false. Non-spontaneous reactions never occurs by themselves. Also, this have no immediate relation between non-spontaneous reactions and entropy. Also you have to study the enthalpy of the process.I hope it helps!
A protein subunit from an enzyme is part of a research study and needs to be characterized. A total of 0.150 g of this subunit was dissolved in enough water to produce 2.00 mL of solution. At 28 ∘C the osmotic pressure produced by the solution was 0.138 atm. What is the molar mass of the protein?
To find the molar mass of the protein subunit, use the formula for osmotic pressure. Rearrange the formula to solve for M and plug in the given values. Convert the mass of the protein to moles using the molar mass.
Explanation:To find the molar mass of the protein subunit, we can use the formula for osmotic pressure, II = MRT. Given that the osmotic pressure is 0.138 atm and the temperature is 28 °C (which is 310 K), we can rearrange the formula to solve for M. The value of R is 0.08206 L atm/mol K. Plugging in the values, we get:
0.138 atm = M * (0.08206 L atm/mol K) * (310 K)
Solving for M gives:
M = 0.138 atm / (0.08206 L atm/mol K * 310 K)
Calculating this expression will give us the molarity of the solution. Since we dissolved 0.150 g of the protein subunit in enough water to make 2.00 mL of solution, we can convert this to moles using the molar mass of the protein. The molar mass is given by:
Molar mass = Mass / Moles
Therefore, we can rearrange the equation to solve for the molar mass:
Molar mass = Mass / Moles = (0.150 g / M) * (1 mol / 1000 g)
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II. Binding Forces A. Write a brief, one or two sentence, description of each binding force listed below. 1. London dispersion forces (a.k.a. van der Waals or induced dipoles) 2. Dipole-dipole forces 3. Hydrogen bonding 4. Electrostatic interactions (Ionic bonds) 5. Hydrophobic interactions (effect) 6. Covalent bonds
Answer:
All description is given in explanation.
Explanation:
Van der Waals forces:
It is the general term used to describe the attraction or repulsion between the molecules. Vander waals force consist of two types of forces:
1. London dispersion forces
2. Dipole-dipole forces
1. London dispersion forces:
These are the weakest intermolecular forces. These are the temporary because when the electrons of atoms come close together they create temporary dipole, one end of an atom where the electronic density is high is create negative pole while the other becomes positive . These forces are also called induce dipole- induce dipole interaction.
2. Dipole-dipole forces:
These are attractive forces , present between the molecules that are permanently polar. They are present between the positive end of one polar molecules and the negative end of the other polar molecule.
Hydrogen bonding:
It is the electrostatic attraction present between the atoms which are chemically bonded. The one atom is hydrogen while the other electronegative atoms are oxygen, nitrogen or flourine. This is weaker than covalent and ionic bond.
Ionic bond or electrostatic attraction:
It is the electrostatic attraction present between the oppositely charged ions. This is formed when an atom loses its electron and create positive charge and other atom accept its electron and create negative charge.
Hydrophobic interaction:
It is the interaction between the water and hydrophobic material. The hydrophobic materials are long chain carbon containing compound. These or insoluble in water.
Covalent bond:
These compounds are formed by the sharing of electrons between the atoms of same elements are between the different element's atoms. The covalent bond is less stronger than ionic bond so require less energy to break as compared to the energy require to break the ionic bond.
carbon atoms stick to catalyst surface in craking processes ?
1- sintring
2- poising
3- aging
4- cocking or fouling
Answer:
option D - coking or fouling
Explanation:
Coking (not cocking) is the process involving the deposition of small carbon particles (created by simply putting carbon atoms) on a catalyst's accessible surface, leading in a reduction in the area accessible for catalytic activity. This is also sometimes related to fouling catalysts or merely fouling them.
Explain why propanol is more soluble in water than propane
Explanation:
Propanol is [tex]CH_3CH_2CH_2OH[/tex] , whereas propane is [tex]CH_3CH_2CH_3[/tex].
There is a presence of hydroxyl group in propanol which leads to the formation of hydrogen bonds with water and thus become soluble in water. Such bonding do not exists in propane.
Hydrogen bonding is a special type of the dipole-dipole interaction and it occurs between hydrogen atom that is bonded to highly electronegative atom which is either fluorine, oxygen or nitrogen atom.
Partially positive end of the hydrogen atom is attracted to partially negative end of these atoms which is present in another molecule. It is strong force of attraction between the molecules.
Final answer:
Propanol is more soluble in water than propane due to the presence of the hydroxyl (OH) group in propanol. The hydroxyl group allows propanol to engage in hydrogen bonding with water molecules, making it more soluble.
Explanation:
Propanol is more soluble in water than propane due to the presence of the hydroxyl (OH) group in propanol. The hydroxyl group allows propanol to engage in hydrogen bonding with water molecules, making it more soluble. On the other hand, propane lacks a hydroxyl group and therefore cannot form hydrogen bonds with water, resulting in lower solubility in water.
Calculate the number of moles of a gas that is present in a 7.55 L container at 45°C, if the gas exerts a pressure of 725mm Hg. Enter your answer in the box provided. mol
Answer: The number of moles of gas present is 0.276 moles
Explanation:
To calculate the number of moles of gas, we use the equation given by ideal gas:
PV = nRT
where,
P = Pressure of the gas = 725 mm Hg
V = Volume of the gas = 7.55 L
n = number of moles of gas = ?
R = Gas constant = [tex]62.3637\text{ L.mmHg }mol^{-1}K^{-1}[/tex]
T = Temperature of the gas = [tex]45^oC=(45+273)K=318K[/tex]
Putting values in above equation, we get:
[tex]725mmHg\times 7.55L=n\times 62.3637\text{ L.mmHg }mol^{-1}K^{-1}\times 318K\\\\n=0.276mol[/tex]
Hence, the number of moles of gas present is 0.276 moles
Specify the functional groups by letters (A to G) as given in the list below. Use only one letter per box. If there are fewer than three functional groups, leave the appropriate number of answer boxes empty. If a functional group is present MORE than once, provide ONLY ONE entry for these groups.)
CH3-HC(NH2)-CO-OH
(a) hydroxyl group in alcohol
(b) amino group
(c) aldehyde group
(d) ketone group
(e) carboxyl group
(f) ester group
(g) amide group
Answer:
(b) amino group
e) carboxyl group
Explanation:
The functional group in an organic compound distinguishes it from other compounds. It is usually the site where chemical reactions takes place.
CH₃-HC(NH₂)-COOH
There are two functional groups in this organic compoud:
The NH₂ group is called the amino groupThe COOH is a carboxyl groupAlyssa is trying to balance the following equation: Pb(OH)2 + 2H2SO4 => PbSO4 + 2H20 What number should be used to replace the question mark (?) shown in the equation above to balance it? O a. 3 O b. 1 Oco O d. 2 Oe. 4
Answer:
2 Pb(OH)2 + 2H2SO4 => 2 PbSO4 + 4 H20
Explanation:
Since there's no "?" shown in the equation, let's balance it and solve it entirely.
Pb(OH)2 + 2H2SO4 => PbSO4 + 2H20
1Pb + 10O + 6H + 2S ≠ 1Pb + 6O + 4H + 1S → it needs to be balanced.
To do this, let's start by looking at the elements that are only presnet once on each side:
On the products half, S is only present in PbSO4 → if we look at the reagents half, we can see it needs a "2" → then Pb is multiplied by 2 too → so Pb(OH)2 on the reagents half will also need a "2" → final count on O and H on the reagents side: 12O and 8H → to balance it, you need 4 water molecules on the products side.
part A;
The equation for molarity, M, is
M=n/V
where V is volume and n is the number of moles of solute.
A certain solution has a molarity of M = 2.73 mol/L and has a volume of V = 0.650 L . What is the value of n?
Express your answer numerically in moles.
part B;
The equation for photon energy, E, is
E=hcλ
where h = 6.626×10−34 J⋅s (Planck's constant) and c = 2.99×108 m/s (the speed of light).
What is the wavelength, λ, of a photon that has an energy of E = 3.98×10−19 J ?
Express your answer numerically in meters.
part C;
The ideal gas equation is
PV=nRT
where P is pressure, V is volume, n is the number of moles, R is a constant, and T is temperature.
You are told that a sample of gas has a pressure of P = 899 torr , a volume of V = 3280 mL, and a temperature of T = 307 K . If you use R = 8.206×10−2 L⋅atm/(K⋅mol) , which of the following conversions would be necessary before you could find the number of moles of gas, n, in this sample?
Check all that apply.
View Available Hint(s)
Check all that apply.
Convert the pressure to atmospheres (atm).
Convert the pressure to pascals (Pa).
Convert the volume to cubic meters (m3).
Convert the volume to liters (L).
Convert the temperature to degrees Celsius (∘C).
Convert the temperature to degrees Fahrenheit (∘F).
Answer:
Part A : n = 1.77 moles
Part B : λ = [tex]2.01*10^{6} m^{-1}[/tex]
Part C : n = 0.154 moles
Explanation:
Part A
The problem gives you the equation for molarity M:
[tex]M=\frac{n}{V}[/tex]
n is the number of moles of solute and V is the volume
Then the problem gives you the molarity of a substance [tex]M=2.73\frac{mol}{L}[/tex] and the volume V = 0.650L, so you need to solve the equation for n:
[tex]M=\frac{n}{V}[/tex]
as the V is dividing it passes to multiply the M:
n = M*V
and you should replace the values:
[tex]n = 2.73\frac{mol}{L}*0.650L[/tex]
n = 1.77 moles
Part B
This time you have to solve the equation E = hcλ for λ that is the unknown information, so you have:
E = hcλ
h and c are multiplying so they pass to divide the E:
λ = [tex]\frac{E}{hc}[/tex]
and replacing the values:
λ = [tex]\frac{3.98*10^{-19}J}{(6.626*10^{-34}J.s)(2.99*10^{8}\frac{m}{s})}[/tex]
λ = [tex]2.01*10^{6} m^{-1}[/tex]
PartC
In this part the problem gives you the equation PV=nRT and the first thing you should do is to verify that all the quantities are in consistent units so:
[tex]R=8.206*10^{-2} \frac{L.atm}{K.mol}[/tex] so you need to convert the pressure to atmospheres and convert the volume to liters.
- Convert the pressure to atmospheres:
[tex]P=899torr*\frac{0.00131579atm}{1torr}[/tex]
P = 1.18 atm
- Convert the volume to liters:
[tex]V=3280mL*\frac{1L}{1000mL}[/tex]
V = 3.28L
To find the number of moles n, you should solve the equation for n:
Pv = nRT
As R and T are multiplying the n, they pass to divide to the other side of the equation:
[tex]n=\frac{PV}{RT}[/tex]
And finally you should replace the values:
[tex]n=\frac{(1.18atm)(3.28L)}{(8.206*10^{-2}\frac{L.atm}{K.mol})(307K)}[/tex]
n = 0.154 moles
To convert from liters/second to cubic gallons/minute, multiply the number of liters/second by 15.850 0 0.0353 00.2642 0 60
Answer: 15.850
Explanation:
The conversion used from liters to gallons is:
1 L = 0.264172 gallon
The conversion used from sec to min is:
60 sec = 1 min
1 sec =[tex]\frac{1}{60}\times 1=0.017min[/tex]
We are asked: liters/sec = gallons/min
[tex]liters/sec=\frac{0.264172}{0.017}=15.850gallons/min[/tex]
Therefore, to convert from liters/second to gallons/minute, multiply the number of liters/second by 15.850.
The mass flow rate of gasoline leaving a refinery is 1610 kg/min. The specific gravity of a gasoline is 0.700.
A retail gasoline pump is able to fill a 20.0 gallon automobile tank in 1.80 minutes. What is the mass flow rate deliverd by the gasoline pump in lbm/min?
Answer:
mass flow = 64.9086 Lbm/min
Explanation:
SG = 0.700 = ρ gas / ρ H2O
∴ ρ H2O = 1000 Kg/m³
⇒ ρ gas = 700 Kg/m³
∴ F auto tank = 20.0 gal / 1.8 min = 11.11 gal/min * ( m³/264.172 gal)
⇒ F auto = 0.042 m³/min
⇒ mass flow = 0.042 m³/min * (700 Kg/m³) * ( 2.20462 Lbm/ Kg )
⇒ mass flow = 64.9086 Lbm/min
The steam generator in a sodium-cooled reactor power plant receives sodium at the rate of 10 x 106 lbm/hr. The sodium temperatures are 600 and | 1000°F. 800°F steam is generated at 1,000 psia from feedwater at 340°F necessary reactor output in Mw(t) Assuming no heat losses, find the temperature difference at the pinch point in the generator. (ep for Na = 0.3.)
Explanation:
It is known that pinch point temperature difference is defined as the difference between the temperature of exhaust existing the evaporator and the temperature of water evaporation.
[tex]\Delta T_{p.p}[/tex] = Exhaust existing the evaporator temperature - Temperature of water evaporation
Since, it is given that exhaust existing the evaporator temperature = [tex]1000^{o}F[/tex]
Temperature of water evaporation = [tex]800^{o}F[/tex]
Hence, calculate [tex]\Delta T_{p.p}[/tex] using the above formula as follows.
[tex]\Delta T_{p.p}[/tex] = Exhaust existing the evaporator temperature - Temperature of water evaporation
= [tex]1000^{o}F[/tex] - [tex]800^{o}F[/tex]
= [tex]200^{o}F[/tex]
Thus, we can conclude that the temperature difference at the pinch point in the generator is [tex]200^{o}F[/tex].
Five million gallons per day (MGD) of wastewater, with a concentration of 10.0 mg/L of a conservative pollutant, is released into a stream having an upstream flow of 10 MGD and pollutant concentration of 3.0 mg/L. What is the concentration in ppm just downstream of the release point? How many pounds of substance per day pass a given spot downstream?
Answer:
a) The concentration in ppm (mg/L) is 5.3 downstream the release point.
b) Per day pass 137.6 pounds of pollutant.
Explanation:
The first step is to convert Million Gallons per Day (MGD) to Liters per day (L/d). In that sense, it is possible to calculate with data given previously in the problem.
Million Gallons per day [tex]1 MGD = 3785411.8 litre/day = 3785411.8 L/d[/tex]
[tex]F_1 = 5 MGD (\frac{3785411.8 L/d}{1MGD} ) = 18927059 L/d\\F_2 =10 MGD (\frac{3785411.8 L/d}{1MGD} )= 37854118 L/d [/tex]
We have one flow of wastewater released into a stream.
First flow is F1 =5 MGD with a concentration of C1 =10.0 mg/L.
Second flow is F2 =10 MGD with a concentration of C2 =3.0 mg/L.
After both of them are mixed, the final concentration will be between 3.0 and 10.0 mg/L. To calculate the final concentration, we can calculate the mass of pollutant in total, adding first and Second flow pollutant, and dividing in total flow. Total flow is the sum of first and second flow. It is shown in the following expression:
[tex]C_f = \frac{F1*C1 +F2*C2}{F1 +F2}[/tex]
Replacing every value in L/d and mg/L
[tex]C_f = \frac{18927059 L/d*10.0 mg/L +37854118 L/d*10.0 mg/L}{18927059 L/d +37854118 L/d}\\C_f = \frac{302832944 mg/d}{56781177 L/d} \\C_f = 5.3 mg/L[/tex]
a) So, the concentration just downstream of the release point will be 5.3 mg/L it means 5.3 ppm.
Finally, we have to calculate the pounds of substance per day (Mp).
We have the total flow F3 = F1 + F2 and the final concentration [tex]C_f[/tex]. It is required to calculate per day, let's take a time of t = 1 day.
[tex]F3 = F2 +F1 = 56781177 L/d \\M_p = F3 * t * C_f\\M_p = 56781177 \frac{L}{d} * 1 d * 5.3 \frac{mg}{L}\\M_p = 302832944 mg[/tex]
After that, mg are converted to pounds.
[tex]M_p = 302832944 mg (\frac{1g}{1000 mg} ) (\frac{1Kg}{1000 g} ) (\frac{2.2 lb}{1 Kg} )\\M_p = 137.6 lb[/tex]
b) A total of 137.6 pounds pass a given spot downstream per day.
Reaction Rates
Part A
For the arbitrary reaction,
A + B ? C + D
The following initial rates were measured given the initial concentrations of A and B. Determine the rate order for both A and B.
[A]o [B]o Initial Rate (M/s)
0.12 0.22 0.00639
0.24 0.22 0.0128
0.12 0.11 0.00639
Part B
-0th order in A and 1st order in B
-2nd order in A and 0th order in B
-1st order in A and 1st order in B
-1st order in A and 0th order in B
The following arbitrary reaction is exothermic:
A + B ? C + D
Predict what will happen to the rate of the reaction if the temperature is increased.
-The reaction rate will decrease.
-Equilibrium is shifted to the left.
-The reaction rate increases.
-There will be no change in rate.
Answer:
PART A 1st order in A and 0th order in B
Part B The reaction rate increases
Explanation:
PART A
The rate law of the arbitrary chemical reaction is given by
[tex]-r_A=k\times\left[A\right]^\alpha\times\left[B\right]^\beta\bigm[/tex]
Replacing for the data
Expression 1 [tex]0.00639=k\times{0.12}^\alpha\times{0.22}^\beta[/tex]
Expression 2 [tex]0.01280=k\times{0.24}^\alpha\times{0.22}^\beta[/tex]
Expression 3 [tex]0.00639=k\times{0.12}^\alpha\times{0.11}^\beta[/tex]
Making the quotient between the fist two expressions
[tex]\frac{0.00639}{0.01280}=\left(\frac{0.12}{0.24}\right)^\alpha[/tex]
Then the expression for [tex]\alpha[/tex]
[tex]\alpha=\frac{ln\frac{0.00639}{0.01280}}{ln\frac{0.12}{0.24}}=1\bigm[/tex]
Doing the same between the expressions 1 and 3
[tex]\frac{0.00639}{0.00639}=\left(\frac{0.22}{0.11}\right)^\beta[/tex]
Then
[tex]\beta=\frac{ln\frac{0.00639}{0.00639}}{ln\frac{0.22}{0.11}}=0\bigm[/tex]
This means that the reaction is 1st order respect to A and 0th order respect to B .
PART B
By the molecular kinetics theory, if an increment in the temperature occurs, the molecules will have greater kinetic energy and, consequently, will move faster. Thus, the possibility of colliding with another molecule increases. These collisions are necessary for the reaction. Therefore, an increase in temperature necessarily produces an increase in the reaction rate.
Which of the following is (are) generally property of metals? 2. a) Electrical insulating b) Thermally conductive c) Mechanically brittle d) Typically gases or liquids
Answer:
b) Thermally conductive
Explanation:
Few properties of metals are:
Metals are hard except metals, sodium and potassium.Metals are good conductors of heat and electricity as they have free electrons.All metals are solids at the room temperature except mercury.Metals have high malleability and ductility.Hence, correct options is B. The rest are not properties of metals.
The equation for density, d, is
d=m/V
where m is mass and V is volume.
What is the density, d, of a substance with a volume of V = 18.2 cm3 and a mass of m = 61.6 g ?
Express your answer numerically in grams per cubic centimeter.
Answer: The density of substance is [tex]3.38g/cm^3[/tex]
Explanation:
To calculate density of a substance, we use the equation:
[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]
We are given:
Mass of substance = 61.6 g
Volume of substance = [tex]18.2cm^3[/tex]
Putting values in above equation, we get:
[tex]\text{Density of substance}=\frac{61.6g}{18.2cm^3}\\\\\text{Density of substance}=3.38g/cm^3[/tex]
Hence, the density of substance is [tex]3.38g/cm^3[/tex]
Final answer:
The density of the substance with a mass of 61.6 g and a volume of 18.2 [tex]cm^3[/tex] is 3.385 g/[tex]cm^3[/tex], calculated by dividing mass by volume using the density formula.
Explanation:
The density of a substance is calculated using the formula d = m/V, where d is the density, m is the mass, and V is the volume.
To find the density of a substance with a given mass and volume, you simply divide the mass by the volume. For a substance with a mass of m = 61.6 g and a volume of V = 18.2 [tex]cm^3[/tex], the density d would be calculated as follows:
d = m/V
d = 61.6 g / 18.2 [tex]cm^3[/tex]
d \3.385 g/[tex]cm^3[/tex]
This means that the density measurement of the substance is 3.385 grams per cubic centimeter, expressed as g/[tex]cm^3[/tex].
When iron(II) chloride reacts with silver nitrate, iron(II) nitrate and silver chloride are produced. The balanced equation for this reaction is: FeCl2 (aq) + 2AgNO3(aq) --> Fe(NO3)2(aq) + 2AgCl(s) Suppose 2.86 moles of iron(II) chloride react. The reaction consumes moles of silver nitrate. The reaction produces moles of iron(II) nitrate and moles of silver chloride. Submit Answer & Next
Answer: The moles of silver nitrate reacted is 5.72 moles, moles of iron (II) nitrate produced is 2.86 moles and moles of silver chloride produced is 5.72 moles
Explanation:
We are given:
Moles of iron (II) chloride = 2.86 moles
For the given chemical equation:
[tex]FeCl_2(aq.)+2AgNO_3(aq.)\rightarrow Fe(NO_3)_2(aq.)+2AgCl(s)[/tex]
For silver nitrate:By Stoichiometry of the reaction:
1 mole of iron (II) chloride reacts with 2 moles of silver nitrate.
So, 2.86 moles of iron (II) chloride will react with = [tex]\frac{2}{1}\times 2.86=5.72mol[/tex] of silver nitrate
Moles of silver nitrate reacted = 5.72 moles
For iron (II) nitrate:By Stoichiometry of the reaction:
1 mole of iron (II) chloride produces 1 mole of iron (II) nitrate
So, 2.86 moles of iron (II) chloride will produce = [tex]\frac{1}{1}\times 2.86=2.86mol[/tex] of iron (II) nitrate
Moles of iron (II) nitrate produced = 2.86 moles
For silver chloride:By Stoichiometry of the reaction:
1 mole of iron (II) chloride produces 2 moles of silver chloride
So, 2.86 moles of iron (II) chloride will produce = [tex]\frac{2}{1}\times 2.86=5.72mol[/tex] of silver chloride
Moles of silver chloride produced = 5.72 moles
Hence, the moles of silver nitrate reacted is 5.72 moles, moles of iron (II) nitrate produced is 2.86 moles and moles of silver chloride produced is 5.72 moles
When 2.86 moles of FeCl2 react, they consume 5.72 moles of AgNO3, produce 2.86 moles of Fe(NO3)2, and produce 5.72 moles of AgCl.
Explanation:In the balanced equation FeCl2 (aq) + 2AgNO3(aq) --> Fe(NO3)2(aq) + 2AgCl(s), each FeCl2 molecule reacts with 2 AgNO3 molecules. This means that for every mole of FeCl2, 2 moles of AgNO3 are consumed. Therefore, if we have 2.86 moles of FeCl2, it will consume 2 x 2.86 = 5.72 moles of AgNO3.
In this reaction, for every mole of FeCl2 consumed, 1 mole of Fe(NO3)2 is produced. Therefore, if we have 2.86 moles of FeCl2, 2.86 moles of Fe(NO3)2 will be produced.
In addition, for every mole of FeCl2 consumed, 2 moles of AgCl are produced. Therefore, if we have 2.86 moles of FeCl2, 2 x 2.86 = 5.72 moles of AgCl will be produced.
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A solution is made by mixing equal masses of methanol, CH4O, and ethanol, C2H6O. Determine the mole fraction of each component to at least three signA solution is made by mixing equal masses of methanol, CH4O, and ethanol, C2H6O. Determine the mole fraction of each component to at least three significant figures.ificant figures.
Answer: mole fraction of methanol = 0.590
mole fraction of ethanol = 0.410
Explanation:
We are given:
Equal masses of methanol [tex]CH_4O[/tex] and ethanol [tex]C_2H_6O[/tex] are mixed.
let the mass be x g.
Calculating the moles of methanol in the solution, by using the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}=\frac{xg}{32.04g/mol}[/tex]
Calculating the moles of ethanol in the solution, by using the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}=\frac{xg}{46.07g/mol}[/tex]
To calculate the mole fraction of methanol, we use the equation:
[tex]\chi_{methanol}=\frac{n_{methanol}}{n_{methaol}+n_{ethanol}}[/tex]
[tex]\chi_{methanol}=\frac{\frac{xg}{32.04g/mol}}{\frac{xg}{32.04g/mol}+\frac{xg}{46.07g/mol}}=0.590[/tex]
To calculate the mole fraction of ethanol, we use the equation:
[tex]\chi_{ethanol}=\frac{n_{ethanol}}{n_{methaol}+n_{ethanol}}[/tex]
[tex]\chi_{ethanol}=\frac{\frac{xg}{46.07g/mol}}{\frac{xg}{32.04g/mol}+\frac{xg}{46.07g/mol}}=0.410[/tex]
Thus mole fraction of methanol is 0.590 and mole fraction of ethanol 0.410 in three significant figures.
To compute the mole fractions, first calculate the number of moles of each component by dividing mass by molar mass. The mole fraction is then calculated as each component's moles divided by the total moles. The mole fractions of methanol and ethanol are approximately 0.591 and 0.409 respectively.
Explanation:To determine the mole fraction of methanol (CH4O) and ethanol (C2H6O) in a solution where equal masses of both are mixed, we first need to calculate the number of moles of each component. The number of moles is determined by the formula: moles = mass/molar mass. The molar mass of methanol is approximately 32.04 g/mol, and the molar mass of ethanol is approximately 46.07 g/mol.
Let's say that we've mixed 50g of each component. The moles of methanol would be 50g/32.04 g/mol which is approximately 1.56 moles. For ethanol, it would be 50g/46.07g/mol, approximately 1.08 moles.
Next, we calculate the total moles in the solution, which is the sum of moles of methanol and ethanol, or 1.56 moles methanol + 1.08 moles ethanol = 2.64 moles.
The mole fraction is then calculated as the number of moles of each component divided by the total moles. So, the mole fraction of methanol would be 1.56 moles methanol / 2.64 total moles = 0.591 to three significant figures. For ethanol, the mole fraction would be 1.08 moles ethanol / 2.64 total moles = 0.409 to three significant figures.
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