Suppose that the gas-phase reaction A B and B A are both elementary processes wi
ID: 736466 • Letter: S
Question
Suppose that the gas-phase reaction A B and B A are both elementary processes with rate constants of 6.56e-02 s-1 and 3.51e-04 s-1, respectively. Figure out the value of the equilibrium constant, KP, for the equilibrium A(g) B(g), and figure out which of the two substances, A or B develops higher partial pressure at equilibrium. Use this information to pick the choice from below which is correct.a) KP = 1.87e+02, and B(g) develops higher partial presssure.
b) KP = 6.52e-02, and A(g) develops higher partial presssure.
c) KP = 5.35e-03, and A(g) develops higher partial presssure.
d) KP = 5.35e-03, and B(g) develops higher partial presssure.
e) KP = 1.87e+02, and A(g) develops higher partial presssure.
Explanation / Answer
The answer is: a) KP = 1.24e-01, and A(g) develops higher partial presssure.
A(g) <=> B(g)
Rate constant of forward reaction = k1 = 5.40 x 103 s-1
Rate constant of reverse reaction = k-1 = 4.35 x 104 s-1
At equilibrium, forward rate = reverse rate
k1 x P(A) = k-1 x P(B)
Equilibrium constant Kp = P(B)/P(A)
= k1/k-1
= 5.40 x 103/4.35 x 104
= 1.24 x 10-1 = 1.24e-01
P(B) = 1.24 x 10-1 x P(A)
Thus P(B) < P(A) and A(g) develops higher partial presssure
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