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Chemistry Question on Chemical Kinetics

The ratio KPKC\frac{K_P}{K_C} for the reaction:
Chemical Reaction

A

(RT)1/2(RT)^{1/2}

B

RT

C

1

D

1RT\frac{1}{\sqrt{RT}}

Answer

1RT\frac{1}{\sqrt{RT}}

Explanation

Solution

CO(g)\text{CO}_{(g)} + \frac{1}{2}$$\text{O}_2{(g)} →\rightarrow CO2(g)\text{CO}_2{(g)}

Δng=1−(1+12)=−12\Delta n_g = 1 - \left( 1 + \frac{1}{2} \right) = -\frac{1}{2}

KPKC=(RT)Δng=1RT\frac{K_P}{K_C} = (RT)^{\Delta n_g} = \frac{1}{\sqrt{RT}}

Thus the correct answer is option 4.