The gas phase reaction 2A_{(g)} rightleftharp | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The relationship between standard Gibbs free energy change and equilibrium constant is given by $\Delta_{r} G^{\circ} = -RT \ln K_{p}$.Given $\Del

Vedclass · Accepted Answer

$166$

Vedclass · Answer

(B) The relationship between standard Gibbs free energy change and equilibrium constant is given by $\Delta_{r} G^{\circ} = -RT \ln K_{p}$.Given $\Delta_{r} G^{\circ} = 25200 \ J \ mol^{-1}$,$R = 8.3 \ J \ mol^{-1} \ K^{-1}$,and $T = 400 \ K$.Substituting the values: $25200 = -8.3 	imes 400 	imes \ln K_{p}$.$\ln K_{p} = -\frac{25200}{3320} \approx -7.59$.Converting to base $10$: $\log_{10} K_{p} = \frac{-7.59}{2.3} \approx -3.3$.$K_{p} = 10^{-3.3} = 5.01 	imes 10^{-4}$.For the reaction $2A_{(g)} ightleftharpoons A_{2(g)}$,$\Delta n = 1 - 2 = -1$.Using $K_{p} = K_{c}(RT)^{\Delta n}$,we have $K_{c} = K_{p}(RT)^{-\Delta n} = K_{p}(RT)^{1}$.$K_{c} = 5.01 	imes 10^{-4} 	imes (8.3 	imes 400) = 5.01 	imes 10^{-4} 	imes 3320 = 1.6632$.Expressing in terms of $10^{-2}$: $1.6632 = 166.32 	imes 10^{-2}$.Rounding to the nearest integer,we get $166$.

Similar Questions

$3.00 \, mol$ of $PCl_5$ kept in $1 \, L$ closed vessel was allowed to attain equilibrium at $380 \, K$. If $K_C = 1.80$,calculate the equilibrium concentrations of $PCl_3$ and $Cl_2$ respectively.

Given the equilibria:
$I: A + 2B \rightleftharpoons C ; K_{eq} = K_1$
$II: C + D \rightleftharpoons 3A ; K_{eq} = K_2$
$III: 6B + D \rightleftharpoons 2C ; K_{eq} = K_3$
Which of the following relations is correct?

When $2 \, mol$ of $PCl_5$ is heated in a closed vessel of $2 \, L$ capacity,$40\%$ of $PCl_5$ dissociates into $PCl_3$ and $Cl_2$ at equilibrium. The value of the equilibrium constant $K_c$ will be:

For the reaction $CO_{(g)} + 1/2 O_{2(g)} \rightleftharpoons CO_{2(g)}$,the value of $K_p/K_c$ is .....

Which of the following relations is correct for $k_f$ and $k_b$ in an equilibrium process that contains equal moles of reactants and products?

Vedclass Test Series

Exam Paper Generator

Online Exam Module