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407 questions with worked solutions.
Answer: Ag2CrO4
For equal anion concentrations the [Ag+] needed to start precipitation is highest for Ag2CrO4 (~1e-6) versus AgCl 1.8e-10, AgBr 5e-13, AgI 8.3e-17. AgI precipitates first (lowest [Ag+]); Ag2CrO4 precipitates last.
Answer: The molar solubility of MY in water is lower than that of NY3.
The molar solubility of MY is lower than that of NY3 because MY dissociates into fewer ions compared to NY3, which produces more ions upon dissolution. Since Ksp is the same for both salts, the salt with more ions in solution (NY3) will have a higher molar solubility.
Answer: K2K3³/K1
The equilibrium constant for the desired reaction can be derived by manipulating the given reactions. By reversing the first reaction (which introduces a factor of 1/K1) and adjusting the stoichiometry of the other reactions, we can combine them to yield the correct expression for K, which results in K2K3³/K1.
Answer: 5.3 × 10⁻¹²
[C2O4^2-] = 2.2e-4/2 = 1.1e-4; Ksp = (2.2e-4)^2 * (1.1e-4) = 5.3e-12. The stored 2.66e-8 is wrong.
Answer: α is inversely proportional to √p
The degree of dissociation (α) for the reaction is influenced by the change in the number of moles of gas during the reaction. As pressure increases, the equilibrium shifts to favor the side with fewer moles of gas, which in this case means that α decreases, and the relationship is inversely proportional to the square root of the pressure.
Answer: 5 litre
Compressing isothermally: 0.4 atm * 20 L = 1.6 atm * V, so V = 5 L is the largest volume at which CO2 pressure reaches its maximum (Kp = 1.6 atm). Below 5 L the excess CO2 forms SrCO3. The stored 4 L is wrong.
Answer: 5.0 × 10⁻¹⁵
Overall dissociation constant = (1.0e-5)(5.0e-10) = 5.0e-15. The stored 0.2e5 is wrong.
Answer: 3.2 × 10⁻² M
Equivalence salt concentration = 1 mmol / 10 mL = 0.1 M; Ka(BH+) = 1e-14/1e-12 = 1e-2; [H+] = sqrt(1e-2 * 0.1) = 3.2e-2 M, not 3.2e-7.
Answer: 10
After 100x dilution C = 1e-3 M; [OH-] = sqrt(1e-5 * 1e-3) = 1e-4, pOH = 4, pH = 10. The stored pH 9 is wrong.
Answer: 2.83 × 10⁻³ g
To find the mass of AgIO₃ in a saturated solution, we first determine the molarity of Ag⁺ and IO₃⁻ ions using the Ksp value. Given Ksp = [Ag⁺][IO₃⁻] = 1.0 × 10⁻⁸, and since the concentrations of Ag⁺ and IO₃⁻ are equal in a saturated solution, we can set both to 's'. Thus, s² = 1.0 × 10⁻⁸, leading to s = 1.0 × 10⁻⁴ M. In 100 mL, this corresponds to 1.0 × 10⁻⁴ moles, which converts to mass using the molar mass of AgIO₃ (283 g/mol), resulting in 2.83 × 10⁻³ g.
Q11. Which species can behave as both a Brønsted acid and a Brønsted base?
Answer: HSO4−
HSO4− can donate a proton, acting as a Brønsted acid, and it can also accept a proton, behaving as a Brønsted base, making it amphiprotic.
Q12. Select the statement that is correct: Polyphosphates are used as water-softening agents because they
Answer: form soluble complexes with cations
Polyphosphates soften water by forming soluble complexes (sequestering) with the Ca2+/Mg2+ cations, not by precipitating anionic species.
Answer: Fructose, C6H12O6
Fructose is a non-electrolyte, meaning it does not dissociate into ions when dissolved in water, resulting in poor conductivity of electric current compared to the other options, which are electrolytes that ionize.
Answer: Λm° = v+λ+ + v-λ-
This expression accurately reflects the law of independent migration of ions, where the molar conductivity of an electrolyte at infinite dilution (Λm°) is the sum of the contributions from each ion, represented by their respective velocities (v) and molar conductivities (λ).
Q15. Which of the following statements is incorrect?
Answer: The equilibrium constant of a reaction changes when a catalyst is present at equilibrium
A catalyst speeds up forward and reverse reactions equally and does not change the equilibrium constant Kc. So 'the equilibrium constant changes when a catalyst is present' is the incorrect statement. The other three statements are correct.
Answer: HCl dissociates into ions in aqueous solution
In aqueous solution, hydrogen chloride dissociates into hydrogen ions (H+) and chloride ions (Cl-), which are charged particles that facilitate the flow of electricity, unlike in its gaseous state where it remains as neutral molecules.
Answer: Kₚ = α²P/(1 - α²)
For PCl5 -> PCl3 + Cl2 starting with 1 mol, equilibrium moles are (1-a), a, a with total (1+a). Mole fractions times P give partial pressures, so Kp = [aP/(1+a)][aP/(1+a)] / [(1-a)P/(1+a)] = a^2 P/(1-a^2).
Answer: BOH + HCl ⇌ BCl + H₂O
The correct option describes the neutralization reaction between the weak base BOH and hydrochloric acid (HCl), resulting in the formation of the salt BCl and water, which is characteristic of acid-base reactions.
Answer: 1.1 × 10⁻¹¹
The solubility product constant (Ksp) can be determined using the pH to find the concentration of hydroxide ions, which helps in calculating the concentration of the silver ions and the corresponding dissociation of the acid. Given the pH of 9, the concentration of hydroxide ions is 10⁻⁵ M, leading to the conclusion that the Ksp for the silver salt is 1.1 × 10⁻¹¹.
Answer: None of these
For NH4HS -> NH3 + H2S the gases form in equal amounts, so P(NH3) = P(H2S) = X/2 and Kp = (X/2)(X/2) = X^2/4. Then dG-standard = -RT ln Kp = -RT ln(X^2/4) = -2RT ln X + RT ln 4. None of the given expressions equal this, so the answer is 'None of these'.
Answer: 2 × 10⁻⁴
The equilibrium constant Kc indicates that the reaction heavily favors the products, meaning that as the reaction proceeds towards equilibrium, the concentration of reactants will decrease significantly. Given the initial concentrations and the large value of Kc, the change in concentration of B will be small, leading to an equilibrium concentration of 2 × 10⁻⁴ mol/L.
Answer: 4 × 10−15
The solubility product (Ksp) for a salt AB2 can be calculated using the formula Ksp = [A⁺][B^−]². Given the molar solubility of AB2 is 1.0 × 10−5 mol L−1, the concentration of A⁺ is 1.0 × 10−5 mol L−1 and the concentration of B^− is 2 × 1.0 × 10−5 mol L−1. Therefore, Ksp = (1.0 × 10−5)(2 × 1.0 × 10−5)² = 4 × 10−15.
Answer: 3 × 10−3 mol L−1
The equilibrium constant Kc is calculated using the formula Kc = [NO2]² / [N2O4]. Substituting the given concentrations, Kc = (1.2 × 10−2)² / (4.8 × 10−2) results in a value of 3 × 10−3 mol L−1, confirming option B as correct.
Answer: Decrease the temperature and increase the pressure
Decreasing the temperature favors the exothermic reaction, which produces more SO3, while increasing the pressure shifts the equilibrium towards the side with fewer moles of gas, thus promoting product formation.
Q25. Which species is formed when H2PO4− loses one proton?
Answer: HPO42−
When H2PO4− loses one proton (H+), it becomes HPO42−, which is the next species in the dissociation of phosphoric acid. This process reflects the stepwise deprotonation of the phosphate ion.
Q26. What is the equilibrium expression for the reaction P4(s) + 5O2(g) ⇌ P4O10(s) ?
Answer: Kc = 1/[O2]⁵
The equilibrium expression for a reaction only includes the concentrations of gaseous and aqueous species, while solids and liquids are omitted. In this case, since P4 and P4O10 are solids, the expression focuses on the gaseous reactant O2, leading to the correct form of Kc as the inverse of its concentration raised to the power of its stoichiometric coefficient.
Q27. For the reaction CO(g) + Cl2(g) ⇌ COCl2(g) the Kp/Kc is equal to
Answer: 1/RT
The relationship between Kp and Kc is given by the equation Kp = Kc(RT)^(Δn), where Δn is the change in the number of moles of gas. In this reaction, Δn is negative, leading to Kp being equal to Kc divided by RT, hence Kp/Kc equals 1/RT.
Answer: 50
The equilibrium constant for the reverse reaction is the reciprocal of the original reaction's equilibrium constant. Since the new reaction involves taking the square root of the original reaction's equilibrium constant (because of the coefficients being halved), we find that Kc = 1 / (4 × 10⁻⁴)^(1/2) = 50.
Answer: s = (Ksp/256)^(1/5)
The correct option relates the molar solubility 's' of the salt MX4 to its solubility product Ksp by recognizing that the dissolution of MX4 produces one mole of M and four moles of X, leading to the expression Ksp = [M][X]⁴. By substituting the concentrations in terms of 's', we derive the relationship s = (Ksp/256)^(1/5), which accurately reflects the stoichiometry of the dissolution process.
Answer: 1.0 × 10⁻⁴ M
The solubility product (Ksp) expression for the salt MX2 is Ksp = [M2+][X-]². Given Ksp = 4 × 10⁻¹², if we let the solubility of MX2 be 's', then [M2+] = s and [X-] = 2s. Substituting these into the Ksp expression gives 4 × 10⁻¹² = s(2s)² = 4s³, leading to s = 1.0 × 10⁻⁴ M for [M2+].
Answer: Adding F2
Adding F2 shifts the equilibrium to the right according to Le Chatelier's principle, as the system responds to the increased concentration of reactants by producing more ClF3.
Answer: Kp is greater than Kc
Kp is greater than Kc because the reaction produces more moles of gas on the product side than on the reactant side, leading to a higher partial pressure of products compared to the reactants, which increases Kp relative to Kc.
Q33. Hydrogen ion concentration in mol/L in a solution of pH = 5.4 will be:
Answer: 3.98 × 10⁻⁶
The hydrogen ion concentration can be calculated using the formula [H+] = 10^(-pH). For a pH of 5.4, this results in a concentration of approximately 3.98 × 10⁻⁶ mol/L, confirming option A as the correct answer.
Q34. What is the conjugate base of OH⁻ ?
Answer: O2⁻
The conjugate base of OH⁻ is formed when it donates a proton (H+), resulting in O2⁻, which is the hydroxide ion's corresponding base.
Answer: 0.11
The equilibrium constant is calculated using the partial pressures of the gases at equilibrium. Given that the total pressure increased to 0.84 atm and the initial pressure of NH3 was 0.50 atm, the change in pressure due to the decomposition of NH4HS allows us to derive the equilibrium constant, which is found to be 0.11.
Answer: 416
The equilibrium constant for a reaction is related to the equilibrium constant of its reverse reaction by taking the reciprocal and raising it to the power of the stoichiometric coefficients. Since the given reaction is the reverse of the original and involves doubling the coefficients, the new equilibrium constant is Kc = (1/Kc_original)², which results in 416.
Answer: 5.0 × 10⁻¹⁵
The overall dissociation constant for a polyprotic acid is calculated by multiplying its individual dissociation constants. In this case, the overall dissociation constant is found by multiplying 1.0 × 10⁻⁵ (first dissociation) by 5.0 × 10⁻¹⁰ (second dissociation), resulting in 5.0 × 10⁻¹⁵.
Answer: 4.5
By Henderson-Hasselbalch, pH = pKa + log([A-]/[HA]). At 50% ionization [A-] = [HA], so log term = 0 and pH = pKa = 4.5.
Answer: 2.83 × 10⁻³ g
The solubility product constant (Ksp) relates the concentrations of the ions in a saturated solution. Given Ksp = 1.0 × 10⁻⁸, we can set up the equation Ksp = [Ag+][IO3−]. Since the stoichiometry is 1:1, if 's' is the solubility in mol/L, then Ksp = s². Solving for 's' gives s = 1.0 × 10⁻⁴ mol/L. In 100 mL, this corresponds to 1.0 × 10⁻⁴ mol, which converts to 2.83 × 10⁻³ g of AgIO3, confirming option C as correct.
Answer: 1:36
The ratio of the total pressures at the two equilibria can be derived from the relationship between the equilibrium constants and the stoichiometry of the reactions. Given that Kp1 and Kp2 are in the ratio of 1:9 and both reactions have the same degree of dissociation, the total pressure ratio is determined by the changes in moles of gas, leading to a final ratio of 1:36.
Answer: K3 = K1K2
The correct option K3 = K1K2 is derived from the principle of combining equilibrium constants for sequential reactions. When the reactions are added together, the equilibrium constant for the overall reaction is the product of the equilibrium constants of the individual reactions.
Answer: 7.01
For salt BA: pH = 7 + 0.5(pKa - pKb) = 7 + 0.5(4.80 - 4.78) = 7 + 0.01 = 7.01. So the solution is essentially neutral, pH = 7.01.
Answer: 5.1 × 10⁻⁵ M
The correct option is right because the solubility product constant (Ksp) for BaCO3 indicates that the product of the concentrations of Ba2+ and CO3²- ions must equal 5.1 × 10⁻⁹ at equilibrium. Given the carbonate concentration of 1.0 × 10⁻⁴ M, the concentration of Ba2+ that leads to precipitation can be calculated using the Ksp expression, resulting in 5.1 × 10⁻⁵ M.
Answer: (ii) only
In (ii) H2PO4- -> HPO4^2- + H3O+, the dihydrogen phosphate donates a proton, so it acts as an acid. In (i) it is a product and in (iii) it gains H+ (acts as a base). Hence only (ii).
Answer: The concentrations of H+ and HCO3− are nearly the same.
Carbonic acid ionizes mainly in its first step (K1 >> K2), giving roughly equal [H+] and [HCO3-]. [CO3^2-] ~ K2 is tiny, and the second ionization is negligible, so the concentrations of H+ and HCO3- are nearly the same.
Answer: 1.2 × 10⁻⁹ g
The correct option is derived from the solubility product expression, where the concentration of bromide ions must reach a level that exceeds the solubility product of silver bromide (AgBr) to initiate precipitation. By calculating the required concentration of bromide ions and converting it to mass using the molar mass of potassium bromide, we find that 1.2 × 10⁻⁹ g is the precise amount needed to start the precipitation.
Answer: 10
The solubility product (Ksp) of Mg(OH)2 indicates that precipitation occurs when the product of the concentrations of Mg2+ and OH- ions exceeds Ksp. At a pH of 10, the concentration of OH- ions is sufficient to cause the product of Mg2+ and OH- concentrations to reach the Ksp value, leading to precipitation.
Answer: 1 × 10⁻¹⁰
The dissociation constant (Ka) can be calculated using the concentration of hydrogen ions and the initial concentration of the acid. Given that the pH is 5, the concentration of H+ ions is 1 × 10⁻⁵ M, and using the formula Ka = [H+][A−]/[HA], we find that the dissociation constant is 1 × 10⁻¹⁰.
Answer: 1.1 × 10⁻⁹ M
The correct option is derived from the equilibrium condition for the precipitation of BaSO4, where the product of the concentrations of Ba2+ and SO4²- must equal the solubility product (Ksp). Given that the concentration of SO4²- from the Na2SO4 solution is 0.1 M after dilution, the concentration of Ba2+ that satisfies the Ksp condition is calculated to be approximately 1.1 × 10⁻⁹ M.
Q50. Which of the following salts is the most basic in aqueous solution?
Answer: CH3COOK
CH3COOK is the salt of a strong base (KOH) and a weak acid (CH3COOH); its anion hydrolyses to make the solution basic. The others are either acidic (FeCl3) or weak-acid/weak-base salts that are far less basic.