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JEE Main levelOne or more correct optionsDifficulty 2 of 3ce071

At 300 K (take $R = 0.0821 L atm mo l^{- 1} K^{- 1}$ , pressures in atm and concentrations in $mol L^{- 1}$ ), for which of the following reactions is the numerical value of $K_{p}$ greater than that of $K_{c}$ ?

A $PCl X_{5} (g) PCl X_{3} (g) + Cl X_{2} (g)$
B $2 NO X_{2} (g) N X_{2} O X_{4} (g)$
C $2 NH X_{3} (g) N X_{2} (g) + 3 H X_{2} (g)$
D $H X_{2} (g) + Cl X_{2} (g) 2 HCl (g)$

Answer: A, C

RT = 0.0821 \times 300 = 24.63

, which is greater than 1, so

K_{p} / K_{c} = (RT)^{Δ n}

exceeds 1 only when

Δ n > 0

. The values of

Δ n

are

+ 1

,

- 1

,

+ 2

and

0

respectively, so options 1 and 3 are correct.

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