(b) kç = kr (c) kf < kr (a) kf > kr 13.94 Consider the gas-phase hydration of hexafluoroacetone, (CF3)2CO: %3D kf (CF3)2CO(g) + H,O(g) (CF3)2C(OH)2(g) kr At 76 °C, the forward and reverse rate constants are kç = 0.13 M1s and k, = value of the equilibrium constant K? 6.2 X 10 4s. What is the %3D CHAPTER PROBLEMS 13.98 The equilibrium concentrations in a gas mixture at a partic- 13.102 C
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can you please solve question 13.94 and show all of the steps to the solution
![**Chemical Equilibrium and Chemical Kinetics (Section 13.11)**
**13.92** Consider a general, single-step reaction of the type A + B ⇌ C. Show that the equilibrium constant is equal to the ratio of the rate constants for the forward and reverse reactions, \( K_c = \frac{k_f}{k_r} \).
**13.93** Which of the following relative values of \( k_f \) and \( k_r \) results in an equilibrium mixture that contains large amounts of reactants and small amounts of products?
(a) \( k_f > k_r \)
(b) \( k_f = k_r \)
(c) \( k_f < k_r \)
**13.94** Consider the gas-phase hydration of hexafluoroacetone, \( (CF_3)_2CO \):
\[
(CF_3)_2CO(g) + H_2O(g) \xleftrightarrow[k_r]{k_f} (CF_3)_2C(OH)_2(g)
\]
At 76°C, the forward and reverse rate constants are \( k_f = 0.13 \, M^{-1}s^{-1} \) and \( k_r = 6.2 \times 10^{-4} \, s^{-1} \). What is the value of the equilibrium constant \( K_c \)?
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**CHAPTER PROBLEMS**
**13.98** The equilibrium concentrations in a gas mixture at a particular temperature are 0.13 M \( H_2 \), 0.70 M \( I_2 \), and 2.1 M HI. What equilibrium concentrations are obtained at the same temperature when 0.20 mol of HI is injected into an empty 500.0 mL container?
**13.99** A 5.00 L reaction vessel is filled with 1.00 mol of \( H_2 \), 1.00 mol of \( I_2 \), and 2.50 mol of HI. Calculate the equilibrium concentrations of \( H_2 \), \( I_2 \), and HI at 500 K. The equilibrium constant \( K_c \) at 500 K for the reaction \( H_2(g) + I_2(g) ⇌ 2 HI(g) \) is 129.
**13.100** At 1000 K, the value of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd34ce3f1-718c-475d-b84a-2ba4a5b1af1a%2F7030a015-94fa-47ad-b359-ba3a3bb2a15f%2F4549ndi.jpeg&w=3840&q=75)
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