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JEE Main levelSingle correct optionDifficulty 2 of 3ce070

For $CO (g) + 2 H X_{2} (g) CH X_{3} OH (g)$ , $K_{c} = 2.5 \times 1 0^{2} L^{2} mo l^{- 2}$ at a certain temperature. Expressed in $m^{6} mo l^{- 2}$ (use $1 L = 1 0^{- 3} m^{3}$ ), $K_{c}$ is

A $2.5 \times 1 0^{- 1}$
B $2.5 \times 1 0^{8}$
C $2.5 \times 1 0^{- 4}$
D $2.5 \times 1 0^{5}$

Answer: C

K_{c}

has units

(volume/mol)^{2}

since

Δ n = - 2

. Each

L^{2}

equals

(1 0^{- 3})^{2} = 1 0^{- 6} m^{6}

, so

K_{c} = 2.5 \times 1 0^{2} \times 1 0^{- 6} = 2.5 \times 1 0^{- 4} m^{6} mo l^{- 2}

.

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