For the reaction: SO_{2(g)} + frac{1}{2} O_{2 | vedclass

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

Question

(D) The relationship between $K_P$ and $K_C$ is given by the equation: $K_P = K_C(RT)^{\Delta n_g}$.For the reaction $SO_{2(g)} + \frac{1}{2} O_{2(g)}

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(D) The relationship between $K_P$ and $K_C$ is given by the equation: $K_P = K_C(RT)^{\Delta n_g}$.For the reaction $SO_{2(g)} + \frac{1}{2} O_{2(g)} ightleftharpoons SO_{3(g)}$,the change in the number of moles of gaseous species is $\Delta n_g = 1 - (1 + 0.5) = -0.5$.Given $T = 27^{\circ} C = 300 \ K$,$R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$,and $K_P = 2 	imes 10^{12}$.Substituting the values: $2 	imes 10^{12} = K_C 	imes (0.082 	imes 300)^{-0.5}$.$2 	imes 10^{12} = K_C 	imes (24.6)^{-0.5} = K_C 	imes \frac{1}{\sqrt{24.6}}$.$K_C = 2 	imes 10^{12} 	imes \sqrt{24.6} \approx 2 	imes 10^{12} 	imes 4.96 = 9.92 	imes 10^{12}$.Expressing in terms of $10^{13}$: $K_C = 0.992 	imes 10^{13}$.Rounding to the nearest integer,we get $1 	imes 10^{13}$.

For the reaction: $SO_{2(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons SO_{3(g)}$,$K_P = 2 \times 10^{12}$ at $27^{\circ} C$ and $1 \ atm$ pressure. The $K_C$ for the same reaction is $......... \times 10^{13}$. (Nearest integer)
(Given $R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$)

Similar Questions

When $3 \ mol$ of $A$ and $1 \ mol$ of $B$ are mixed in a $1 \ L$ vessel,the following reaction takes place: $A_{(g)} + B_{(g)} \rightleftharpoons 2C_{(g)}$. If $1.5 \ mol$ of $C$ are formed at equilibrium,the equilibrium constant $(K_c)$ for the reaction is:

Given below are certain reactions. Identify the reaction for which $K_p = K_c$.

For the reaction $PCl_{3(g)} + Cl_{2(g)} \rightleftharpoons PCl_{5(g)}$ at $250 \ ^oC$,the value of $K_c$ is $26$. The value of $K_p$ at the same temperature is .........

The equilibrium concentrations of $X$,$Y$,and $YX_2$ are $4 \ mol/L$,$2 \ mol/L$,and $2 \ mol/L$ respectively for the equilibrium $2X + Y \rightleftharpoons YX_2$. The value of $K_c$ is:

For the reaction taking place at a certain temperature $NH_2COONH_{4(s)} \rightleftharpoons 2NH_{3(g)} + CO_{2(g)}$. If the equilibrium pressure is $3X \ bar$,then $\Delta _r G^o$ would be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

For the reaction: $SO_{2(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons SO_{3(g)}$,$K_P = 2 \times 10^{12}$ at $27^{\circ} C$ and $1 \ atm$ pressure. The $K_C$ for the same reaction is $......... \times 10^{13}$. (Nearest integer)(Given $R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$)