At 298 K, the equilibrium constant of the pr | vedclass

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

Question

(D) The standard free energy change $\Delta G^{\circ}$ is related to the equilibrium constant $K$ by the equation: $\Delta G^{\circ} = -RT \ln K = -2.

Vedclass · Accepted Answer

$163$

Vedclass · Answer

(D) The standard free energy change $\Delta G^{\circ}$ is related to the equilibrium constant $K$ by the equation: $\Delta G^{\circ} = -RT \ln K = -2.303 RT \log_{10} K$. Given $R = 8.314 \ J \ mol^{-1} \ K^{-1}$, $T = 298 \ K$, and $K = 3 	imes 10^{-29}$. Substituting these values: $\Delta G^{\circ} = -2.303 	imes 8.314 	imes 298 	imes \log(3 	imes 10^{-29}) \ J \ mol^{-1}$. $\Delta G^{\circ} = -5705.8 	imes (\log 3 + \log 10^{-29}) \ J \ mol^{-1}$. $\Delta G^{\circ} = -5705.8 	imes (0.47 - 29) \ J \ mol^{-1}$. $\Delta G^{\circ} = -5705.8 	imes (-28.53) \ J \ mol^{-1} \approx 162787 \ J \ mol^{-1}$. Converting to $kJ \ mol^{-1}$: $\Delta G^{\circ} \approx 163 \ kJ \ mol^{-1}$.

At $298 \ K$, the equilibrium constant of the process $1.5 O_{2(g)} \rightleftharpoons O_{3(g)}$ is $3 \times 10^{-29}$. The standard free energy change (in $kJ \ mol^{-1}$) of the process is approximately ($R = 8.314 \ J \ mol^{-1} \ K^{-1}$; $\log 3 = 0.47$)

Similar Questions

For the reversible reaction,$A_{(s)} + B_{(g)} \rightleftharpoons C_{(g)} + D_{(g)}$,$\Delta G^{\circ} = -350 \ kJ$,which one of the following statements is true?

When a reaction is carried out at standard states,then at equilibrium:

Write the formula relating the equilibrium constant $K$ and the standard Gibbs free energy change $\Delta G^{\circ}$.

Which quantity out of $\Delta _{r}G$ and $\Delta _{r}G^{\theta }$ will be zero at equilibrium?

Find the equilibrium constant for the reaction below at $298 \ K$. $2NOCl_{(g)} \rightleftharpoons 2NO_{(g)} + Cl_{2(g)}$ given that $\Delta H^o = 18.4512 \ kcal$ and $\Delta S^o = 29.16 \ cal/K$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module