Question

$K_p$ for the following reaction at $700K$ is $1.3\times {10}^{-3}{atm}^{-1}$. The $K_C$ at same temperature of the reaction $2{SO}_2+O_2\rightleftharpoons 2{SO}_3$ will be :

• A. $1.1\times {10}^{-2}$
• B. $3.1\times {10}^{-2}$
• C. $5.2\times {10}^{-2}$
• D. $7.4\times {10}^{-2}$

Answer 1

Answer: (D)

$7.4\times {10}^{-2}$

The change in number of moles of gaseous species $\Delta n=n_{\text{products}}-n_{\text{reactants}}=2-(2+1)=-1$

$K_c=K_P(RT{)}^{-\Delta n}$

$K_c=1.3\times {10}^{-3}at{m}^{-1}\times (0.08206Latm/mol/K\times 700K{)}^{-(-1)}$

$K_c=7.4\times {10}^{-2}L/mol$