Final answer:
The molecular mass of propanoic acid, an isomer of methyl ethanoate, is 74.09 amu, calculated by the sum of atomic masses of carbon, hydrogen, and oxygen in its molecular formula, C3H6O2.
Explanation:
To calculate the molecular mass of propanoic acid, an isomer of methyl ethanoate, we need to first understand that isomers are compounds with the same molecular formula but different structures, and hence, the same molecular mass. Propanoic acid's molecular formula is C3H6O2. Using the atomic masses of carbon (12.01 amu), hydrogen (1.01 amu), and oxygen (16.00 amu), we calculate the molecular mass as follows:
(3 × 12.01 amu) + (6 × 1.01 amu) + (2 × 16.00 amu) = 36.03 amu + 6.06 amu + 32.00 amu = 74.09 amu
Therefore, the molecular mass of propanoic acid is 74.09 amu.
In the reaction C + O2 → CO2, 18 g of carbon react with oxygen to produce 72 g of carbon dioxide. What mass of oxygen would be needed in the reaction?
1.) 18 g
2.) 54 g
3.) 72 g
4.) 90 g
: hydrochloric acid reacts with the mineral calcite to produce carbon dioxide gas, water, and calcium chloride. based on what you have learned in activity a and activity b, what are three things you could do to make the reaction occur more quickly?
The things that can be done to make the reaction occur quickly include increasing the temperature, grinding calcite, and using catalyst.
It should be noted that a catalyst is used to speed up the rate of a chemical reaction. Also, increasing the temperature is important in increasing the kinetic energy of the molecules.Furthermore, it should be noted that grinding calcite results in the rise in the surface area of the calcite. Therefore, the formation of product will rise.In conclusion, these are important in making hydrochloric acid react with the mineral calcite quickly.
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What is the geometry around the bottom carbon atom in acetonitrile? what is the geometry around the bottom carbon atom in acetonitrile? tetrahedral trigonal planar linear?
Final answer:
The bottom carbon atom in acetonitrile has a linear geometry due to the sp hybridization created by two regions of electron density, corresponding to a triple bond with nitrogen and a single bond with another carbon.
Explanation:
The geometry around the bottom carbon atom in acetonitrile is linear. Acetonitrile, which has the formula CH3CN, features a triple bond between the bottom carbon (the carbon atom bonded to the nitrogen) and the nitrogen atom. This carbon is attached to two groups: a nitrogen atom and another carbon (part of the methyl group). The triple bond counts as a single region of electron density due to the presence of multiple bonds to the same atom. Therefore, it only has two regions of electron density, leading to sp hybridization and a linear molecular geometry with the C-C-C and C-C-N bond angles both being approximately 180°.
Draw the lewis structure for the molecule ch2chch3. how many sigma and pi bonds does it 30) contain
Lewis structure are the diagrams, which represent the bonding between atoms of a molecule. It also shows the number of lone pairs present in the atom. The propene Lewis structure shows that it has 8 sigma and 1 pi bonds.
Propene or CH[tex]_2[/tex]CHCH[tex]_3[/tex], is an organic compound that is released by the burning of forest fires, motor vehicles, and aircraft exhaust. The Lewis structure of propene shows that it has 8 sigma bonds and one pi bond.
Sigma bonds are represented as single bond. Pi bonds are represented as double or triple bond.The given image below is the Lewis structure of propene.
Carbon is a tetravalent atom, and in its its excited stated can form 4 covalent bonds. In the diagram, it is seen that carbon is [tex]\text{sp}^2[/tex] hybridized. Carbon forms head to head overlapping with the three hydrogen atoms, forming three sigma bonds.
Since, the carbon is a tetravalent atom, it will form one sigma and one pi bond. The pi bonds are formed when orbitals overlap perpendicularly along the plane of sigma bond.
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For ethanol, propanol, and n-butanol the boiling points, surface tensions, and viscosities all increase. what is the reason for this increase?
The increase in boiling points, surface tensions, and viscosities for ethanol, propanol, and n-butanol is due to stronger hydrogen bonding and van der Waals dispersion forces as these molecules get larger and contain more electrons.
Explanation:The boiling points, surface tensions, and viscosities of ethanol, propanol, and n-butanol increase due to the presence of hydrogen bonding and van der Waals dispersion forces. As the molecules get larger and have more electrons, the van der Waals forces increase. This causes the boiling points to rise because more energy is needed to overcome these intermolecular forces. The surface tension and viscosity also increase as the molecular size and intermolecular forces increase.
Moreover, the boiling point of an alcohol is significantly higher compared to the analogous alkane due to the presence of hydrogen bonding in addition to van der Waals forces and dipole-dipole interactions. Alcohols also exhibit a pattern where the boiling points increase with the number of carbon atoms, reflecting the increase in intermolecular attractions as the molecule size increases.
A chemistry student mixes 5 grams of sodium chloride (NaCl) in 100 ml of water and stirs until all of the salt is dissolved. Once dissolved, the student measures the electrical conductivity of the solution. An additional 5 grams of NaCl is then dissolved in the solution. Which statement MOST accurately describes how the additional five grams of salt will affect the electrical conductivity of the solution?
When additional 5 grams of NaCl are dissolved in solution the conductivity of solution increases as more ions are available for conduction.
What are ions?An ion is defined as an atom or a molecule which has a net electrical charge. There are 2 types of ions :1) cation 2) anion . The cation is the positively charged ion and anion is the negatively charged ion . As they are oppositely charged they attract each resulting in the formation of ionic bond.
Ions consisting of single atom are mono-atomic ions while which consists of two or more ions are called as poly-atomic ions . They are created by chemical interactions . They are very reactive in their gaseous state and rapidly react with the oppositely charged ions resulting in neutral molecules.
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Boric acid frequently is used as an eyewash to treat eye infections. the ph of a 0.050m solution of borin acid is 5.28. what is the value of the boric acid ionization constant, ka
To find the ionization constant ([tex]K_a[/tex]) of boric acid from its pH of 5.28, calculate the hydrogen ion concentration [tex][H^+][/tex] using the pH, then apply the acid dissociation formula. The [tex]K_a[/tex] of boric acid is found to be 1.74 x [tex]10^{-9[/tex].
The pH of a 0.050 M solution of boric acid is 5.28, and the student is asked to calculate the ionization constant ([tex]K_a[/tex]) of boric acid.
To find [tex]K_a[/tex], we first need to calculate the concentration of hydrogen ions [tex][H^+][/tex] in the solution, which can be derived from the pH value:
pH = -log[tex][H^+][/tex]
5.28 = -log[tex][H^+][/tex]
[tex][H^+][/tex] = 10-5.28
Next, we use the acid dissociation formula for a weak acid like boric acid ([tex]H_3BO_3[/tex]):
[tex]H_3BO_3[/tex](aq) ⇌ [tex]H^+[/tex](aq) + [tex]B(OH)_4^-[/tex](aq)
Assuming the degree of ionization is small and equating the concentration of [tex]H^+[/tex] with that of [tex]B(OH)_4^-[/tex], we get:
[tex][H^+][/tex] = [tex][B(OH)_4^-][/tex]
Therefore:
Ka = [tex][H^+][/tex][tex][B(OH)_4^-][/tex] / [tex][H_3BO_3][/tex]
Ka = (10-5.28)2/0.050 M
Ka = 10-10.56/0.050
Ka = 1.74 x [tex]10^{-9[/tex]
So the Ka of boric acid is 1.74 x [tex]10^{-9[/tex].
Which choice best describes the polarity of bri5? view available hint(s) which choice best describes the polarity of ? the molecule is polar and has polar bonds. the molecule is nonpolar and has polar bonds. the molecule is polar and has nonpolar bonds. the molecule is nonpolar and has nonpolar bonds?
While BrI5 is not a common molecule and potentially not real, based on similar molecular structures, it would most likely be a polar molecule with polar bonds due to its presumed asymmetry and the difference in electronegativity between bromine and iodine.
Explanation:The molecule in question, BrI5 (bromine pentaiodide), does not appear to exist or is not common in chemical literature. However, assuming it follows similar principles of molecular polarity, we can deduce its polarity based on the provided information. A molecule is polar if it has polar bonds and is not symmetric, meaning that the polarities do not cancel out. Conversely, a molecule is nonpolar if it has polar bonds but is symmetric, such that the polarization cancels out, or if there are no polar bonds present.
Since BrI5 is hypothetically a molecule consisting of a central atom of bromine with five iodine atoms surrounding it, its structure would likely be asymmetric due to the odd number of atoms, leading to an uneven distribution of charge. Thus, if BrI5 did exist, it would most likely have polar bonds (as bromine and iodine have different electronegativities) and would not be symmetric; hence, it would be a polar molecule with polar bonds.
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A reaction vessel contains nh3, n2, and h2 at equilibrium at a certain temperature. the equilibrium concentrations are [n2] = 0.31 m, [h2] = 1.51 m, and [nh3] = 0.75 m. calculate the equilibrium constant, kc, if the reaction is represented as
To calculate the equilibrium constant (Kc), we use the law of mass action. The equation for the reaction is N2 + 3H2 ⇌ 2NH3. By plugging in the given equilibrium concentrations into the equation and solving, we find that Kc is approximately 0.05927.
Explanation:To calculate the equilibrium constant, Kc, we need to use the law of mass action. The equation for the reaction is:
N2 + 3H2 ⇌ 2NH3
Kc is calculated by taking the concentrations of the products (NH3) raised to their stoichiometric coefficients and dividing by the concentrations of the reactants (N2 and H2) raised to their stoichiometric coefficients.
Kc = ([NH3]²) / ([N2][H2]³)
Plugging in the given equilibrium concentrations ([NH3] = 0.75 M, [N2] = 0.31 M, [H2] = 1.51 M) into the equation, we get:
Kc = (0.75²) / (0.31 × 1.51³)
Kc = 1.125 / (0.468 × 3.448)³
Kc = 1.125 / (0.468 × 40.7855)
Kc = 1.125 / 18.986
Kc ≈ 0.05927
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The human eye contains a certain protein called rhodopsin that changes shape when it is exposed to light. When rhodopsin absorbs light, part of it undergoes a chemical change. This is how eyes sense the presence of light.
Final answer:
Rhodopsin, found in the retina's rod cells, is essential for vision by changing shape when exposed to light, initiating signal transduction to the brain. Rods are crucial for dim light vision, while cones handle color vision. The absorption of light by rhodopsin ultimately allows humans to see.
Explanation:
The human eye detects light through a sophisticated process involving rhodopsin, a special photopigment found in the retina. This pigment is a combination of a protein called opsin and the molecule 11-cis-retinal. When light reaches the photoreceptors, rods and cones, within the retina, it causes a conformational change in rhodopsin. Specifically, when light hits the rods, it causes the 11-cis retinal to change to all-trans retinal, splitting rhodopsin into opsin and all-trans retinal. This change sends a signal to the brain, allowing us to perceive the presence of light and, ultimately, see.
Rod cells are more sensitive and are crucial for vision in dim light, while cone cells provide detailed color vision under brighter light conditions. Rods contain rhodopsin with a maximum absorption around 500 nm, mainly in the blue-green region of the visible spectrum. Cones contain three types of photopigments, called opsins, each sensitive to different wavelengths of light corresponding to the primary colors red, green, and blue. The process of light absorption by rhodopsin and signal transduction to the brain is fundamental for human vision.
Which alkanealkene pair would be formed by a disproportionation reaction of the two radicals produced by the most energetically favored homolytic bond cleavage in the molecule shown?
Pentane (c5h12) undergoes combustion with excess oxygen to produce water and carbon dioxide. how many liters of water are produced when 50.5 grams of pentane combustion with excess oxygen at stp?
Determine if the bond between each pairs of atoms would be pure covalent, polar covalent, or ionic. n and se
Types of Bonds can be predicted by calculating the difference in electronegativity.
If, Electronegativity difference is,
Less than 0.4 then it is Non Polar Covalent Bond
Between 0.4 and 1.7 then it is Polar Covalent Bond
Greater than 1.7 then it is Ionic
For N and Se,
E.N of Nitrogen = 3.04
E.N of Selenium = 2.55
________
E.N Difference 0.49 (Weakly Polar Covalent)
As you have not provided remaining pairs, so if you have any of them, follow the method as mentioned above.
Pure covalent bond is formed between Br and Br. Polar covalent bonds are formed by O and F, N and Cl, and others. A connection between Sr and O is ionic.
We can take into account the difference in electronegativity between the elements involved to determine the sort of bond—pure covalent, polar covalent, or ionic—between each pair of atoms:
The terms "Br and Br" (bromine and bromine)
Since both atoms are composed of the same element, their electronegativity is the same.
The difference in electronegativity is 0.
Because the identical atoms share the electrons evenly, a pure covalent link is produced.
Oxygen and fluorine, or O and F:
The electronegativity of oxygen (O) is roughly 3.44.
With a value of roughly 3.98, fluorine (F) has a higher electronegativity.
O and F have different electronegativities by 0.54.
This slight difference in electronegativity points to a polar covalent connection, where the electrons are distributed unevenly, leaving the less electronegative atom (O) with a partial positive charge and the more electronegative atom (F) with a partial negative charge.
Nitrogen and chlorine, or N and Cl
The electronegativity of nitrogen (N) is around 3.04.
The electronegativity of chlorine (Cl) is roughly 3.16.
N and Cl have different electronegativities of 0.12 each.
This slight variation in electronegativity suggests a polar covalent connection, similar to that between O and F.
Oxygen and strontium are two elements.
About 0.95 is the electronegativity of strontium (Sr).
With a value of about 3.44, oxygen (O) has a much higher electronegativity.
Between Sr and O, there is a significant difference in electronegativity (3.44 - 0.95 = 2.49).
The creation of Sr²⁺ ions and O₂ ions, which are bound together by electrostatic forces, results from the electrons being transferred from Sr to O in an ionic bond, as indicated by the high electronegativity difference.
To sum up:
Pure covalent bond is formed between Br and Br.
Polar covalent bonds are formed by O and F, N and Cl, and others.
A connection between Sr and O is ionic.
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What is measured by the reaction rate?
the speed at which products form
the time required for a reaction to go to completion
the probability that a reaction will occur
Answer: Option (a) is the correct answer.
Explanation:
Rate of reaction is defined as the rate at which a chemical reaction occurs. That is, it tells how rapidly or slowly the products are formed.
Mathematically, Rate = [tex]\frac{-\Delta [reactants]}{\Delta t}[/tex]
It also tells the number of successful collisions taking place.
Thus, we can conclude that the speed at which products form is measured by the reaction rate.
The bond energy for the van der waals bond between two helium atoms is 7.9×10−4ev. assuming that the average kinetic energy of a helium atom is (3/2)kbt, at what temperature is the average kinetic energy equal to the bond energy between two helium atoms? use kb=8.62×10−5ev/k.
The element oxygen would be expected to form covalent bond(s) in order to obey the octet rule.use the octet rule to predict the formula of the compound that would form between oxygen and hydrogen , if the molecule contains only one oxygen atom and only single bonds are formed.formula:
Chemical formula of compound when bond is formed between oxygen and hydrogen is OH₂.
What is chemical formula?Chemical formula is a way of representing the number of atoms present in a compound or molecule.It is written with the help of symbols of elements. It also makes use of brackets and subscripts.
Subscripts are used to denote number of atoms of each element and brackets indicate presence of group of atoms. Chemical formula does not contain words. Chemical formula in the simplest form is called empirical formula.
It is not the same as structural formula and does not have any information regarding structure.It does not provide any information regarding structure of molecule as obtained in structural formula.
There are four types of chemical formula:
1)empirical formula
2) structural formula
3)condensed formula
4)molecular formula
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Draw both resonance forms of the nitrite ion, no2–. be sure to include all lone pairs and non-zero formal charges. do no add curved arrows to structures. do not add an arrow or plus sign between the structures.
1. Resonance Form 1: O-N-O with a negative charge on the right oxygen.
2. Resonance Form 2: O-N-O with a negative charge on the left oxygen.
Certainly, here are both resonance forms of the nitrite ion, NO2-:
Resonance Form 1:
O
/ \
N O-
In this structure, the oxygen atom on the left has three lone pairs, and the nitrogen atom has one lone pair. The oxygen on the right is negatively charged (-1), while the nitrogen has no formal charge.
Resonance Form 2:
O-
\
N
\
O
In this structure, the oxygen atom on the left is negatively charged (-1), the nitrogen atom has no formal charge, and the oxygen on the right has two lone pairs.
These resonance forms illustrate how the electrons in the nitrite ion are delocalized, and the actual electron distribution is a blend of these two structures, resulting in a partial negative charge on both oxygen atoms and a partial positive charge on the nitrogen atom.
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The nitrite ion, NO2-, has two resonance forms. In the first, one oxygen is double-bonded to nitrogen while the other is single-bonded, with the latter carrying a negative charge. The second form is the same, but the doubly bonded oxygen carries the negative charge. The actual structure of the ion is an average of these forms.
Explanation:To draw the resonance forms of the nitrite ion, NO2-, it is necessary to understand the concept of resonance. If more than one Lewis structure can be written for a molecule or ion with the same arrangement of atoms, the actual distribution of electrons is an average of that shown by these structures. In the case of NO2-, the distribution of electrons in the nitrogen-oxygen bonds is an average of a double bond and a single bond. This means there are two resonance forms for NO2-.
The first resonance form can be represented as :N=O—O: wherein nitrogen is double bonded to one oxygen atom and single bonded to the other, with a lone pair on the singly bonded oxygen giving it a negative formal charge. The second resonance form is :N—O=O: wherein nitrogen is double bonded to one oxygen atom and singly bonded to the other just like in the first resonance form but now the double bonded oxygen atom absorbs the lone pair, causing it to have a negative formal charge.
These two resonance forms together represent the actual electronic structure of the nitrite ion, which we call a resonance hybrid. It's important to remember that resonance in chemistry doesn't mean that the molecule is switching between these forms, rather the actual structure is an average of these forms.
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A gas occupies 4.23 l at 2.25 atm. what is the volume at 3.46 atm?
An empty 10 ml volumetric flask weighs 10.2634 g. when filled to the mark with distilled water and weighed again in the air at 20 oc, the mass is 20.2144 g. what is the true volume of the flask at 20 oc?
Explanation:
It is known that density of water at [tex]20^{o}C[/tex] is 998,29 [tex]kg/m^{3}[/tex] or 0.998 g/ml (as 1 [tex]kg/m^{3}[/tex] = 0.001 g/ml).
Therefore, calculate mass of water as follows.
Mass of water = Final mass - initial mass
= 20.2144 g - 10.2634 g
= 9.951 g
As we known that density is the amount of mass present in a unit volume.
Mathematically, Density = [tex]\frac{mass}{volume}[/tex]
Therefore, putting the given values into the above formula we will calculate the volume as follows.
Density = [tex]\frac{mass}{volume}[/tex]
0.998 g/ml = [tex]\frac{9.951 g}{Volume}[/tex]
Volume = 9.97 ml
Thus, we can conclude that volume of the flask at [tex]20^{o}C[/tex] is 9.97 ml.
The true volume of the flask at 20°C is 8.30145 mL.
The true volume of the flask can be calculated using the difference in mass before and after adding water.
Weigh the empty flask: 10.2634 gWeigh the filled flask: 20.2144 gSubtract the mass of the empty flask from the mass of the filled flask to get the mass of the water added: 20.2144 g - 10.2634 g = 9.9510 gSince 1 mL of water weighs 1 g, the volume of water added is 8.30145 mLTherefore, the true volume of the flask at 20°C is 8.30145 mL.
Correct question is: An empty 10 ml volumetric flask weighs 10.2634 g. when filled to the mark with distilled water and weighed again in the air at 20°C , the mass is 20.2144 g. What is the true volume of the flask at 20°C ?
The ionization constant for water (kw) is 9.614*10-14 at 60°c. calculate [h3o+], [oh−], ph, and poh for pure water at 60°c.
Which term best describes an electrical circuit?
Select one:
a. steady flow
b. quick burst
c. short-lived phenomenom
d. dangerous explosion
An electrical circuit is best described as a 'steady flow.' Electricity in a circuit flows continuously from the power source, through the device being powered, and back to the source.
Explanation:The term that best describes an electrical circuit is steady flow. In a basic electrical circuit, electricity moves from a power source like a battery through conductive materials such as wires to the device that it's powering (like a light bulb), and then it returns to the source. This movement is a continuous or steady flow of electric charge, and it usually happens until the power source is depleted or the circuit is otherwise disrupted.
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A gas originally at 27 °c and 1.00 atm pressure in a 2.6 l flask is cooled at constant pressure until the temperature is 11 °c. the new volume of the gas is
According to Charles's law, the final volume of a gas that is cooled from 27 °c to 11 °c at constant pressure, and initially in a 2.6 L flask, is 2.46 L.
Explanation:This question pertains to Charles's law, which states that the volume of a gas is directly proportional to its temperature if kept at a constant pressure. In this case, the initial temperature T₁ is 27°C (which converts to 300 K) and the final temperature T₂ is 11°C (or 284 K). The initial volume V₁ is 2.6 L. Remembering to convert degrees Celsius to Kelvin (by adding 273), we can solve for V₂, the unknown final volume, by setting up the equation V₁/T₁ = V₂/T₂.
Solving for V₂ yields V₂ = V₁ × (T₂/T₁) = 2.6 L × (284K/300K) = 2.46 L. So, if a gas originally at 27 °c and 1.00 atm pressure in a 2.6 L flask is cooled at constant pressure until the temperature is 11 °c, the new volume of the gas is 2.46 L.
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In the book, Rumble Fish by S.E. Hinton, where dies it take place
Final answer:
The book Rumble Fish by S.E. Hinton takes place in Tulsa, Oklahoma.
Explanation:
In the book Rumble Fish by S.E. Hinton, the story takes place in a fictional city called Tulsa, Oklahoma. The setting is important because it represents the harsh realities of urban life and the struggles faced by the characters in the book.
When the above equation is balanced the coefficients in order are
Write a balanced equation for the double-replacement precipitation reaction described, using the smallest possible integer coefficients. a precipitate forms when aqueous solutions of chromium(iii) iodide and potassium hydroxide are combined.
Which reaction below represents the first ionization of sb?which reaction below represents the first ionization of ?sb2−(g) → sb3−(g) + e−sb+(g) + e− → sb2+(g)sb(g) + e− → sb−(g)sb−(g) + e− → sb2−(g)sb(g) → sb+(g) + e−?
Answer: The reaction for the first ionization of Sb is [tex]Sb(g)\rightarrow Sb^+(g)+e^-[/tex]
Explanation: Ionization of an atom is defined as the reaction when an electron is released from an isolated gaseous atom in their gaseous state.
General equation for the first ionization reaction is:
[tex]X(g)\rightarrow X^+(g)+e^-[/tex]
So, from the given choices in the question, only one option represents the first ionization of Antimony atom (Sb-atom), which is [tex]Sb(g)\rightarrow Sb^+(g)+e^-[/tex]
Which pure substance will have the intermolecular force oh hydrogen bonding with itself
What is the value of q when the solution contains 2.50×10−3 m mg2+ and 2.00×10−3m co32−? express your answer numerically?
The value of [tex]\( Q \)[/tex] for the given solution is [tex]\( 5.00 \times 10^{-6} \).[/tex]
To determine the reaction quotient [tex]\( Q \)[/tex] for the dissolution reaction of magnesium carbonate, [tex]\( \text{MgCO}_3 \)[/tex], we need to understand the solubility product constant ([tex]\( K_{\text{sp}} \)[/tex]) and the concentrations of the ions involved.
Given:
Concentration of [tex]\( \text{Mg}^{2+} \)[/tex]: [tex]\( 2.50 \times 10^{-3} \) M[/tex]
Concentration of [tex]\( \text{CO}_3^{2-} \)[/tex]: [tex]\( 2.00 \times 10^{-3} \) M[/tex]
Reaction:
For the dissolution of [tex]\( \text{MgCO}_3 \)[/tex]:
[tex]\[ \text{MgCO}_3(s) \leftrightarrow \text{Mg}^{2+}(aq) + \text{CO}_3^{2-}(aq) \][/tex]
Expression for the Reaction Quotient ([tex]\( Q \)[/tex]):
[tex]\[ Q = [\text{Mg}^{2+}][\text{CO}_3^{2-}] \][/tex]
Substitute the given concentrations into the expression:
[tex]\[ Q = (2.50 \times 10^{-3} \, \text{M})(2.00 \times 10^{-3} \, \text{M}) \][/tex]
Calculation:
[tex]\[ Q = (2.50 \times 10^{-3}) \times (2.00 \times 10^{-3}) \][/tex]
[tex]\[ Q = 5.00 \times 10^{-6} \][/tex]
The solubility product constant of pbcl2 is 1.7 × 10−5 . what is the maximum concentration of pb2+ that can be in ocean water that contains 0.0500 m nacl?
The voltage generated by the zinc concentration cell described by, zn(s)|zn2 (aq, 0.100 m)||zn2 (aq, ? m)|zn(s),is 16.0 mv at 25 °c. calculate the concentration of the zn2 (aq) ion at the cathode.
To calculate the concentration of Zn2+ at the cathode of a concentration cell, you apply the Nernst equation and solve for the unknown concentration using the given cell voltage, known ion concentration at the anode, and the idea that E^0 is 0 for concentration cells.
Explanation:The student asked to calculate the concentration of the Zn2+ (aq) ion at the cathode of a zinc concentration cell at 25 °C, given that the cell voltage is 16.0 mV. To find this, we use the Nernst equation, which relates cell potential to ion concentration:
E = E^0 - (RT/nF)lnQ
With the given cell reaction Zn(s) → Zn2+ (aq) + 2e-, where the anode process is oxidation, and the cathode is where reduction occurs, we set up the reaction quotient Q as:
Q = [Zn2+]_{cathode} / [Zn2+]_{anode}
Since E^0 for a concentration cell is 0 (because both electrodes are of the same material), and the given [Zn2+]_{anode} is 0.100 M, we only need to find [Zn2+]_{cathode}. Rearranging and solving for [Zn2+]_{cathode}, we get:
16.0 mV = - (0.0592 V/2) * log(Q)
Q = 10^( -(16.0 mV) / (0.0592 V/2) )
[Zn2+]_{cathode} = Q * [Zn2+]_{anode} is then calculated to find the unknown concentration.
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