Question
The table above provides the \(K_{eq}\) values for two reactions. Which of the following is the correct mathematical expression needed to determine the equilibrium constant of the reaction shown below?
Reaction 3: \(HA(aq)+HB^−(aq)\)⇄\(H_2B(aq)+A^−(aq)\)
\(K_{eq}=K_3\)
A \(K_3=K_1\times \frac{1}{K_2}\)
B \(K_3=\frac{1}{K_1}×K_2\)
C \(K_3=K_1−K_2\)
D \(K_3=−K_1+K_2\)
▶️Answer/Explanation
Ans:A
Reaction 2 needs to be reversed to obtain reaction 3. When a reaction is reversed, the equilibrium constant for the reverse reaction is the reciprocal of the equilibrium constant of the original reaction. When reactions are added together, the K of the resulting overall reaction is the product of the K’s for the reactions that were summed. Therefore, \(K_3=K1×\frac{1}{K_2}\).
Question
Reaction 1: \(PbCl_2(s)\)⇄\(Pb_2^+(aq)+2Cl^−(aq)\) \(K_{sp}=K_1\)
Reaction 2: \(AgCl(s)\)⇄\(Ag^+(aq)+Cl^−(aq)\) \(K_{sp}=K_2\)
Based on the information given above, which of the following is the expression for \(K_{eq}\) for the reaction that occurs when a 0.1M \(AgNO_3(aq)\) is added to a saturated solution of \(PbCl_2(aq)\) , as represented by the following chemical equation?
\(PbCl_2(s)+2Ag^+(aq)⇄Pb^{2+}(aq)+2AgCl(s)\)
A \(K_{eq}=K_1+(2×K_2)\)
B \(K_{eq}=K_1−(2×K_2)\)
C \(K_{eq}=K_1×(K_2)^2\)
D \(K_{eq}=\frac{K_1}{(K_2)^2}\)
▶️Answer/Explanation
Answer D
To obtain the net equation, the equation 2 must be reversed and doubled; thus, \(K_{eq}\) is determined by multiplying \(K_1\) by the reciprocal of \(K_2\) squared.
Question
Equation 1: \(2NO_2(g)\)⇄\(N_2O_4(g)\) \(K_1\)
Equation 2: \(N_2O_4(g)\)⇄\(2NO_2(g)\) \(K_2\)
In a large reaction vessel at a constant temperature, nitrogen dioxide and dinitrogen tetroxide are in a state of dynamic equilibrium, as represented by the chemical equations shown above. The equilibrium constants for the reactions are \(K_1\) and \(K_2\). Which of the following quantities can most easily be used to find the value of \(K_2\)?
A The value of ΔH for the reaction
B The temperature of the system
C The volume of the system
D The value of \(K_1\)
▶️Answer/Explanation
Ans:D
If the value of \(K_1\) is known, then the relationship \(K_2=\frac{1}{K_1}\) can be used to determine the value of \(K_2\)
Question
Which of the following shows the relationship between \(K_1\) and\( K_2\) in the reactions represented above?
(A) \(K_{2}\)= \((K_{1})^{2}\)
(B)\( K_{2}\)=\(\sqrt{K_{1}}\)
(C) \( K_{2}\)=\(\frac{1}{(K_{1})^{2}}\)
(D) \(K_{2}\)=\(\frac{1}{K_{1}}\)
▶️Answer/Explanation
Ans:C