Answer : The final volume at STP is, 1000 L
Explanation :
According to the Boyle's, law, the pressure of the gas is inversely proportional to the volume of gas at constant temperature and moles of gas.
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure = 1520 mmHg = 2 atm (1 atm = 760 mmHg)
[tex]P_2[/tex] = final pressure at STP = 1 atm
[tex]V_1[/tex] = initial volume = 500.0 L
[tex]V_2[/tex] = final volume at STP = ?
Now put all the given values in the above formula, we get:
[tex]2atm\times 500.0L=1atm\times V_2[/tex]
[tex]V_2=1000L[/tex]
Therefore, the final volume at STP is, 1000 L
The volume of the gas at STP is [tex]\(1000.0 \, \text{L}\)[/tex].
1. Convert initial pressure to atm:
[tex]\[ P_1 = \frac{1520 \, \text{mm Hg}}{760 \, \text{mm Hg/atm}} = 2 \, \text{atm} \][/tex]
2. Apply the Combined Gas Law:
[tex]\[ \frac{P_1 \cdot V_1}{T_1} = \frac{P_2 \cdot V_2}{T_2} \][/tex]
Given:
[tex]\[ V_1 = 500.0 \, \text{L} \][/tex]
[tex]\[ P_1 = 2 \, \text{atm} \][/tex]
[tex]\[ P_2 = 1 \, \text{atm} \][/tex]
[tex]\[ T_1 = T_2 \][/tex] (temperature does not change)
Substituting the values, we get:
[tex]\[ \frac{(2 \, \text{atm} \cdot 500.0 \, \text{L})}{T} = \frac{(1 \, \text{atm} \cdot V_2)}{T} \][/tex]
3. Solve for [tex]\(V_2\)[/tex]:
Cross-multiply and solve for [tex]\(V_2\)[/tex]:
[tex]\[ 2 \cdot 500.0 = 1 \cdot V_2 \][/tex]
[tex]\[ V_2 = \frac{2 \cdot 500.0}{1} \][/tex]
[tex]\[ V_2 = 1000.0 \, \text{L} \][/tex]
HCl(aq)+NaOH(aq)→NaCl(aq)+H2O(l)
A student was given the task of titrating a 20.mL sample of 0.10MHCl(aq) with 0.10MNaOH(aq). The HCl(aq) was placed in an Erlenmeyer flask. An equation for the reaction that occurs during the titration is given above.
f) If the student started with 46 grams of NaOH, how much H2O should be produced?
Answer:
0.036 g
Explanation:
0.036 g of water should be produced.
From the equation of reaction, 1 mole of HCl requires 1 mole of NaOH in order to produce 1 mole of H2O.
20 mL of 0.10 M HCl contains 20/1000 x 0.10 = 0.002 moles of HCl
46 grams of NaOH contains 46/40 = 1.15 moles of NaOH
It thus means that the HCl is a limiting reagent in the reaction.
From the equation:
1 mole HCl will produce 1 mole of H2O.
0.002 HCl with therefore produce 0.002 x 1/1 = 0.002 mole of H2O
Mass of water produced = mole x molar mass
0.002 x 18 = 0.036 g.
Hence, 0.036 g of water would be produced.
11. A wasp lays its eggs on a caterpillar. When the wasp eggs hatch, the larva will eat the caterpillar
and kill it. *
(2 Points)
O
A. Parasitism
O
B. Mutualism
O
C. Commensalism
Answer:
A
Explanation:
That is the only one that makes sense. Parasitism harms the the host while the parasite gains.
• A gas occupies what volume at a pressure of 5.4
atm, 3.5 moles of gas, at 333 K?
Answer: 17.71L
Explanation:
The volume can be calculated by using the ideal gas equation which is given as:
PV =nRT
Where P = Pressure, V= Volume, n= number of moles, R= gas constant and T = Temperature
From the above question :
P =5.4 ATM, V= ? n = 3.5 , R =0.082057 L atm /mol/K, T= 333K
PV = nRT
Make V subject of the formula we then have:
V= nRT/P
= 3.5 x 0.082507 L x 333 / 5.4
= 95.64 / 5.4 = 17.7L
Please help
Describe the liquid state according to the
kinetic-molecular theory.
Answer:
Explanation:
Liquids have the medium energy level of the three state. They have enough energy for the molecules to break free from their solid lattice but not enough to separate from being in groups of molecules, they move around slowly and randomly in groups, with a moderate level of kinetic energy to power them.
The liquid state, as explained by the kinetic-molecular theory, is where particles can move around each other due to sufficient kinetic energy but remain in close contact because of intermolecular forces, resulting in a definite volume but no fixed shape.
Explanation:Kinetic-Molecular Theory of the Liquid StateAccording to the kinetic-molecular theory, the liquid state is characterized by particles that have enough energy to partially overcome their intermolecular interactions. Despite these interactions, particles within a liquid can move around each other, allowing the liquid to take the shape of its container. However, because particles in a liquid are still in close contact, they do not compress easily, giving liquids a definite volume.
In liquids, the kinetic energy of the particles allows them to slide past one another smoothly, changing neighbors due to their mobility, while the intermolecular forces maintain the overall cohesion. This energetic state is more dynamic compared to a solid but less energetic than a gas, where the particles are much further apart. The properties of liquids, therefore, are a balance between the kinetic energy of the particles and the intermolecular forces present.
C. Describe ONE way in which relocation diffusion resulted in the cultural landscapes shown in both photographs.
D. Explain how the cultural landscapes shown in the photographs represent more than one culture,
Answer:
Explanation:
THIS IS THE COMPLETE QUESTION
A)Identify TWO cultural traits shown in one or both of the photographs that are indicative of ethnicity.
B)Describe the process of relocation diffusion.
C)Describe ONE way in which relocation diffusion resulted in cultural landscapes shown in both photographs.
D)explain how the cultural landscapes shown in the photographs represent more than one culture.
EXPLANATION:
A)the two cultural traits shown in the photographs that are indicative of ethnicity are;
1) the torri
2)the logograms
B)The process of relocation diffusion provide an idea as a result of people moving from one place to another especially the adopters, they move from their base to new place.
C)Relocation diffusion resulted in the cultural landscapes that is shown in both photographs just gave the intance of migration process.
for instance, those that migrated to CALI and UK from china came along with their cultural trait too. As well as their custom
D)The cultural landscapes that is shown in the photographs gives the representation of multiple culture through displaying of
architectural styles from different culture.
Cultural landscapes display a linguistic features of more than one languages.
Relocation diffusion contributes to cultural landscapes by introducing new cultural elements through migration. Such landscapes often represent multiple cultures, as both local and migrated cultures can leave their imprint on the environment.
Explanation:Relocation diffusion refers to the spread of a cultural trait by individuals who migrate and carry this trait with them to new locales. For example, when individuals who practice a particular religion migrate to a new location, they might build places of worship resembling those in their homeland, thus altering the cultural landscape of their new locale.
Cultural landscapes can often represent more than one culture because both the local and migrated cultures influence the landscapes. For example, in a cultural landscape where a McDonald's (representing American fast food culture) is situated next to a Buddhist temple (representing Asian religious culture), it is evident that more than one culture is influencing the setting.
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Every organism is an ecosystem receives energy from another source.Which of these organism receives its energy directly from the sun? A-Grass C-deer B-fungus D-hawk
Answer:
The answer is grass
Explanation:
Grass is a plant, meaning it undergoes photosynthesis to receive its energy from the sun.
Answer:
A-Grass
Explanation:
grass receives its energy from the sun in a process called photosynthesis, the chromophil in the plant foliage transforms sunlight into glucose and this chemical is converted into energy after several processes.
If 35 mL of 0.10 Macid solution is neutralized by 21.8 mL of a basic solution, what is the molarity
of the base? MaVa = MbVb
Benzene, C6H6, reacts with nitric acid, HNO3. Two products are formed, one of which is water. The second product has a molar mass of 213 grams. The second product is composed of 33.8% carbon, 1.42% hydrogen, 19.7% nitrogen, and 45.1% oxygen. Write a balanced chemical equation for this reaction:
Answer:
C₆H₆ + 3HNO₃ → C₆H₃N₃O₆ + 3H₂O
Explanation:
The reaction is:
Benzene + Nitric acid → Water + ?
Let's determine the ? compound
Molar mass 213 g/mol
33.8g of C in 100 g of compound |
1.42 g of H in 100g of compound | _ Percent composition
19.7 g of N in 100g of compound |
45.1 g of O in 100g of compound |
We propose these rule of three:
In 100 g of compound we have 33.8 g C, 1.42 g H, 19.7g N and 45.1g O
Therefore in 213g of compound we must have:
(213 . 33.8) / 100 = 72 g of C
(213 . 1.42) / 100 = 3 g of H
(213 . 19.7) / 100 = 42 g of N
(213 . 45.1) / 100 = 96 g of O
Now, we convert the mass to moles:
72 g of C . 1 mol / 12g = 6 C
3 g of H . 1 mol / 1g = 3 H
42 g of N . 1 mol / 14 g = 3 N
96 g of O . 1 mol / 16 g = 6 O
Molecular formula is C₆H₃N₃O₆. So the balanced reaction will be:
C₆H₆ + 3HNO₃ → C₆H₃N₃O₆ + 3H₂O
A chemical reaction is most likely to occur when the colliding particles have the proper
Answer:
a rection will most likely occur if the colliding partilces have the proper orientation and energy. The reactions occur becasue the molecules collide. But not all the collisions result in a reaction. The collisions have to meet some requirements
Explanation:
A reaction will most likely occur if the colliding partilces have the proper orientation and energy.
What is a chemical reaction?The chemical reaction is a process in which one or more substances, the reactants, are converted to one or more different substances, the products.
Chemical reactions require collisions between reactant species.
These reactant collisions must be of proper orientation and sufficient
energy in order to result in product formation.
The collisions have to meet some requirements.
Molecules must collide in order to react.
In order to effectively initiate a reaction, collisions must be sufficiently energetic (kinetic energy) to break chemical bonds; this energy is known as the activation energy.
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Aqueous silver nitrate (AgNO₃) and aqueous sodium bromide (NaBr) react to produce solid silver bromide (AgBr) and aqueous sodium nitrate (NaNO₃). The reaction that occurs is as follows: [tex]AgNO3(aq) + NaBr(aq) \rightarrow AgBr(s) + NaNO3(aq)[/tex]If the reaction was carried out, what would the mass of the precipitate tell you _________.
Answer:
The mass of the precipitate will give the amount/concentration of Bromide ion present in the reaction setup, thereby indirectly giving the amount/concentration of NaBr (aq) that we started with.
Explanation:
[tex]AgNO3(aq) + NaBr(aq) \rightarrow AgBr(s) + NaNO3(aq)[/tex]
From the mass of AgBr precipitate formed, we can obtain the mass of Br originally in the NaBr sample we started with, using the percentage by mass of Br in the AgBr precipitate multiplied by the mass of precipitate obtained.
This answer can then be used in a similar method to obtain the mass of NaBr we started with.
Mass of Br in AgBr = (Mass of precipitate obtained) × [(molar mass of Br)/(molar mass of AgBr)]
Mass of NaBr we started with = (Mass of Br in precipitate) × [(Molar Mass of NaBr)/(Molar mass of Br)]
The mass of the precipitate will give the amount/concentration of Bromide ion present in the reaction setup, thereby indirectly giving the amount/concentration of NaBr (aq) that we started with.
Hope this Helps!!!
The mass of the silver bromide (AgBr) precipitate in a reaction with silver nitrate (AgNO₃) and sodium bromide (NaBr) gives an indication of the reaction’s efficiency and how much of the reactants have reacted due to the principle of conservation of mass.
Explanation:In the given chemical reaction, the mass of the precipitate, which is silver bromide (AgBr), gives an indication of how much of the reactants have reacted. This is due to the principle of conservation of mass which states that mass cannot be created or destroyed in a chemical reaction. Therefore, the total mass of reactants before the reaction will equal the total mass of the products after the reaction.
If you knew the initial amounts of silver nitrate (AgNO₃) and sodium bromide (NaBr), you could calculate the theoretical yield of silver bromide (AgBr) using stoichiometry. Then, by comparing this theoretical yield with the actual mass of the precipitate formed, you could calculate the percentage yield of the reaction, which is a common measure of reaction efficiency.
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A unicellular, prokaryotic organism is discovered by scientists. Are these characteristics enough to place it in a domain, or is more information needed?
PLZ HELP!!! WILL GIVE YOU BRAINLIEST 100 POINTS!!!
Answer:
yes
Explanation:
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP ANY SCARY STORIES
Answer:
Here After by Kate Brian
Explanation:
It is a really good story
The Goosebumps or RL.Stine book series is pretty interesting
How many liters of H2 gas, collected over water at an atmospheric pressure of 752 mm Hg and a temperature of 21.0°C, can be made from 3.566 g of Zn and excess HCl? The partial pressure of water vapor is 18.65 mm Hg at 21.0°C.
Final answer:
To find the volume of H2 gas generated, first calculate the partial pressure of H2 using the ideal gas law equation PV = nRT. Then, convert moles of H2 to grams using the molar mass of H2. Finally, convert grams of H2 to liters using the molar volume of gas at STP.
Explanation:
When collecting a gas over water, the total pressure is equal to the sum of the partial pressure of the gas and the vapor pressure of water. To find the volume of H2 gas generated, we need to calculate the partial pressure of H2 gas. We can use the ideal gas law equation PV = nRT to solve for the number of moles of H2, and then use the molar mass of H2 to convert moles to grams. Finally, we can convert grams to liters using the molar volume of gas at STP. First, we need to calculate the partial pressure of H2 gas. The total pressure is given as 752 mm Hg, and the vapor pressure of water at 21.0°C is 18.65 mm Hg. So, the partial pressure of H2 gas is 752 mm Hg minus 18.65 mm Hg, which equals 733.35 mm Hg.
Next, we can use the ideal gas law equation PV = nRT to solve for the number of moles of H2 gas:
n = PV / RT = (733.35 mm Hg / 760 mm Hg/atm) * (1 atm / 760 mm Hg) * (3.566 g Zn / 65.38 g/mol) = 0.072 mol H2
Finally, we can convert moles to liters using the molar volume of gas at STP:
V = n * (22.4 L/mol) = 0.072 mol * (22.4 L/mol) = 1.6136 L
How many moles of O_{2} molecules are present in a 0.301 L sample of dry air at 0.0395 atm and 23.8 °C? (Oxygen constitutes 20.94% of the molecules in dry air.) (Enter your answer using either standard or scientific notation. For scientific notation, 6.02 x 10^{23} is written as 6.02E23.)
To determine the number of moles of O2 molecules in the given sample of dry air, we need to use the ideal gas law equation PV = nRT. We are given the pressure (P), volume (V), and temperature (T) of the sample, and we can calculate the number of moles (n) of oxygen molecules.
Explanation:To determine the number of moles of O2 molecules in the given sample of dry air, we need to use the ideal gas law equation PV = nRT. We are given the pressure (P), volume (V), and temperature (T) of the sample, and we can calculate the number of moles (n) of oxygen molecules.
First, we need to calculate the partial pressure of oxygen in the air using the percent content in the mixture. Oxygen constitutes 20.94% of the molecules in dry air, so the partial pressure of oxygen (PO2) is calculated as PO2 = (Patm) X (percent content of oxygen). Given that the atmospheric pressure (Patm) is 0.0395 atm, the partial pressure of oxygen is PO2 = (0.0395 atm) X (0.2094).
Once we have the partial pressure of oxygen, we can use PV = nRT to calculate the number of moles of oxygen molecules (n). Rearranging the equation, n = PV / RT, where P is the partial pressure of oxygen, V is the volume of the sample, R is the ideal gas constant, and T is the temperature in Kelvin. Plugging in the values, we get n = (PO2)(V) / (RT).
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What is the pH of a solution that has [H+] = 3.0 × 10–6 M?
4.32
5.52
6.0
7.76
A cup of black coffee has a pH of 5.
What is the hydrogen ion concentration of this cup of coffee?
4.0 × 10–4 M
3.0 × 10–5 M
1.0 × 10–5 M
4.0 × 10–6 M
Which example's concentration is indicated by a solution’s pH ?
H2O
H+
OH−
H2O2
What is the pH of a solution with a [H+] of 1.0×10−4 M ?
2.0
3.0
4.0
8.0
WILL MARK BRAINLIEST
Answer:
1`. B)5.52
2. C) 1.0 x 10-5M
3. B) H+
4. C) 4.0
The pH of a solution with [H+] = 3.0 × 10–6 M is 5.52. A cup of black coffee with a pH of 5 has a hydrogen ion concentration of 1.0 × 10–5 M. The concentration of a solution's pH is indicated by H+.
Explanation:The pH of a solution can be determined using the equation pH = -log[H+]. In the first question, the solution has a hydrogen ion concentration of 3.0 × 10–6 M, so the pH is calculated as -log(3.0 × 10–6) = 5.52. In the second question, a coffee with a pH of 5 has a hydrogen ion concentration of 1.0 × 10–5 M, which can be calculated using the same equation. The correct option is 1.0 × 10–5 M. In the third question, the hydrogen ion concentration is a characteristic of a solution's pH, so the correct option is H+.
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Calculate the concentration of acetic acid (pka 54.76)and sodium acetate necessary to prepare a 0.2 m buffer solution at pH 5.0
Answer:
See explanation below
Explanation:
To solve this problem, we need to use the Henderson - Hasselbach equation which is the following:
pH = pKa + log ([A⁻] / [HA]) (1)
Where:
[A⁻] = concentration of the acetate
[HA] = concentration of the acetic acid.
With the above expression, we can calculate the ratio of [A⁻] / [HA]. This concentration ratio will be used to calculate the individual concentrations. We know that a buffer is made as a mix of the acid and it's ion, in other words:
[HA] + [A⁻] = [Buffer] (2)
So, with the concentration ratio, we can replace it here in (2) and then, we can calculate each concentration required.
First, let's use (1) to get the concentration ratio:
5 = 4.76 + log ([A⁻] / [HA])
5 - 4.76 = log ([A⁻] / [HA])
0.24 = log ([A⁻] / [HA])
[A⁻] / [HA] = 10⁰°²⁴
[A⁻] / [HA] = 1.7378
From this ratio, we can express either HA or A in function of the result. In this case, we will solve for A:
[A⁻] = 1.7378[HA]
With this expression, we can replace it in (2) to solve for [HA]:
[HA] + 1.7378[HA] = 0.2
2.7378[HA] = 0.2
[HA] = 0.0731 MNow all we have to do is replace this value in [A] to get the concentration:
[A⁻] = 1.7378 * 0.0731
[A⁻] = 0.1270 Mhow much 6.0 m hno3 is needed to neutralize 39ml of 2 m koh
Answer:
13mL
Explanation:
Step 1:
The balanced equation for the reaction. This is given below:
HNO3 + KOH —> KNO3 + H2O
From the balanced equation above, we obtained the following data:
Mole ratio of the acid (nA) = 1
Mole ratio of the base (nB) = 1
Step 2:
Data obtained from the question.
This includes the following:
Molarity of the acid (Ma) = 6M
Volume of the acid (Va) =?
Volume of the base (Vb) = 39mL
Molarity of the base (Mb) = 2M
Step 3:
Determination of the volume of the acid.
Using the equation:
MaVa/MbVb = nA/nB, the volume of the acid can be obtained as follow:
MaVa/MbVb = nA/nB
6 x Va / 2 x 39 = 1/1
Cross multiply to express in linear form
6 x Va = 2 x 39
Divide both side by 6
Va = (2 x 39)/6
Va = 13mL
Therefore, the volume of the acid (HNO3) needed for the reaction is 13mL
the amount of calcium hydroxide needed to react completely with a 100.0 g of nitric acid
Answer:
The answer to your question is 58.7 g of Ca(OH)₂
Explanation:
Data
mass of Ca(OH)₂ = ?
mass of HNO₃ = 100 g
Process
1.- Write the balanced chemical reaction
Ca(OH)₂ + 2HNO₃ ⇒ Ca(NO₃)₂ + 2H₂O
2.- Calculate the molar mass of the reactants
Ca(OH)₂ = 40 + 32 + 2 = 74 g
HNO₃ = 1 + 14 + 48 = 63 g
3.- Use proportions to calculate the mass of Ca(OH)₂
74 g of Ca(OH)₂ ----------------- 2(63) g of HNO₃
x ----------------- 100 g of HNO₃
x = (100 x 74) / 2(63)
x = 7400 / 126
x = 58.7 g
A propane torch is lit inside a hot air balloon during preflight preparations to inflate the balloon.
Which condition of the gas remains constant?
Answer: its pressure
Explanation: just trust me
how many moles are in 10.0 grams of sodium hydroxide?
What is the concentration of hydronium in each of the following cases:
[OH-] = 10-12 M ?
[OH-] = 10-2 M ?
1. For [tex]\([OH^-] = 10^{-12} \, M\)[/tex], the concentration of [tex]\([H_3O^+]\)[/tex] is [tex]\(10^{-2} \, M\)[/tex].
2. For [tex]\([OH^-] = 10^{-2} \, M\)[/tex], the concentration of [tex]\([H_3O^+]\)[/tex] is [tex]\(10^{-12} \, M\)[/tex].
Relationship Between [tex]\([H_3O^+]\) and \([OH^-]\)[/tex]:
The ion-product constant for water [tex](\(K_w\))[/tex] at 25 °C is [tex]\(1 \times 10^{-14} \, M^2\)[/tex].
[tex]\[ [H_3O^+] \times [OH^-] = K_w = 1 \times 10^{-14} \, M^2 \][/tex]
Case 1: [tex]\([OH^-] = 10^{-12} \, M\)[/tex]
[tex]\[ [H_3O^+] = \dfrac{K_w}{[OH^-]} = \dfrac{1 \times 10^{-14} \, M^2}{10^{-12} \, M} = 10^{-2} \, M \][/tex]
Case 2: [tex]\([OH^-] = 10^{-2} \, M\)[/tex]
[tex]\[ [H_3O^+] = \dfrac{K_w}{[OH^-]} = \dfrac{1 \times 10^{-14} \, M^2}{10^{-2} \, M} = 10^{-12} \, M \][/tex]
Why does liquid rise in a thermometer
Answer:
A thermometer has a glass tube sealed at both ends and is partly filled with a liquid like mercury or alcohol. As the temperature around the thermometer's bulb heats up, the liquid rises in the glass tube. ... When it is hot, the liquid inside the thermometer will expand and rise in the tube
Explanation:
pls mark as brainliest
A mixture of 8.0 mol Ne and 8.0 mol Xe are at STP in a rigid container. Which of the following statements is TRUE?
A) Both gases have the same average kinetic energy.
B) Both gases contribute equally to the density of the mixture under these conditions.
C) Both gases have the same molecular speed.
D) The mixture has a volume of 22.4 L
E) All of the above are TRUE.
OPTION A. A) Both gases have the same average kinetic energy.
In the given gas mixture of Neon (Ne) and Xenon (Xe) at Standard Temperature and Pressure (STP), both gases only share the same average kinetic energy. However, they do not contribute equally to the mixture's density, they do not share the same molecular speed, and the total volume of the mixture is not 22.4L.
Explanation:The TRUE statement among the options given is A) Both gases have the same average kinetic energy. The average kinetic energy of gas molecules is determined by temperature, not the type of gas, according to kinetic molecular theory. Therefore, since both gases are at the same temperature (Standard Temperature and Pressure, STP), they will have the same average kinetic energy.
B) is incorrect since each gas contributes to the mixture's density based on its own molar mass, and Xenon's molar mass is much greater than Neon's.
Option C is not correct because molecular speed is influenced by molar mass. Neon, having a smaller molar mass, will have a higher average speed than Xenon.
Statement D) is incorrect because according to Avogadro's law, one mole of any gas at STP occupies a volume of 22.4L, and we have a total of 16 moles of gas (8.0 mol of Ne and 8.0 mol of Xe) which will occupy a volume of 16 times 22.4L.
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What is the mass of 1.72 moles of BaSO4?
Explanation:
mass = Moles * molar mass
molar mass of BaSO4 = 112+32+64= 208
= 1.72*208 = 357.76
Name this compound please
Answer:
Ethanol
Explanation:
2 C atoms and a single OH group.
Formula: C2H5OH
Carbon-14 is an element which loses exactly half of its mass every 5730 years. The mass of a sample of
carbon-14 can be modeled by a function, M, which depends on its age, t (in years).
We measure that the initial mass of a sample of carbon-14 is 741 grams.
Answer:
[tex]M=741\times (0.5)^{\frac{t}{5730}}[/tex]
Explanation:
by using well known formula for disintegration
[tex]M=M_0\times (0.5)^{\frac{t}{T}}[/tex]
Final answer:
To calculate the original mass of carbon-14 in an artifact aged 10,670 years, given it now contains 8.4 × 10⁽⁻⁹⁾ grams of carbon-14, we use the half-life of carbon-14 (5,730 years) and the formula for exponential decay. The original mass is found to be 33.6 × 10⁽⁻⁹⁾ grams.
Explanation:
The subject of the question involves using exponential decay to calculate the original mass of carbon-14 in an archaeological artifact, taking into account the half-life of carbon-14, which is 5,730 years. Given that a sample now contains 8.4 × 10-9 grams of carbon-14 and its age is 10,670 years, we can calculate the original amount of carbon-14 it contained. To find the original mass of carbon-14, we can use the formula for exponential decay, M = M0(1/2)t/T, where M is the final mass, M0 is the original mass, t is the time elapsed, and T is the half-life of the substance.
Since 10,670 years is exactly two half-lives of carbon-14 (2 × 5,730), we can calculate that the artifact originally contained 8.4 × 10-9 grams × 22 = 33.6 × 10-9 grams of carbon-14.
If 2.87 g of aluminum are reacted with excess copper (II) sulfate and 9.2 g of copper are produced what is the percent yield
92.8 % is the percent yield when 2.87 g of aluminum are reacted with excess copper (II) sulfate and 9.2 g of copper are produced.
Explanation:
Mass of aluminum = 2.87 grams
mass of copper produced = 9.2 grams ( actual yield)
the balanced chemical reaction is given as:
2 Al + 3 CuSO4 ⇒ ( AL2(SO4)3 +3 Cu.
from the reaction it is found that
2 moles of aluminum reacted to give 3 moles of copper
so converting them in to mass.
number of moles of copper in 2.8 grams = [tex]\frac{2.8}{63.4}[/tex]
number of moles = 0.104 moles of copper
atomic mass of aluminum = 26.98 grams/mole
atomic mass of copper = 63.54 grams/mole
From the given data
2.87 grams Al gives 9.2 grams of Cu.
2 moles of aluminum reacted to give 3 moles of copper
0.104 moles of aluminum will give
[tex]\frac{3}{2}[/tex] =[tex]\frac{x}{0.104}[/tex]
2x = 0.132
x = 0.156 moles of Cu will be formed.
Hence theoretical yield should be = 0.156 x 63.54
= 9.91 grams
Percent yield = [tex]\frac{actual yield}{theoretical yield}[/tex] x 100
= [tex]\frac{9.2}{9.91}[/tex] x 100
percent yield = 92.8 % is the yield percent.