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JEE Main levelSingle correct optionDifficulty 2 of 3ce014

At a given temperature, $K_{c} = 2.0$ for $X Y$ and $K_{c} = 3.0$ for $Y Z$ (all species gaseous). What is $K_{c}$ for $2 X 2 Z$ at this temperature?

A36
B6
C25
D13

Answer: A

Adding two reactions multiplies their constants:

X Z

has

K = 2.0 \times 3.0 = 6

. Doubling all coefficients squares it, so

K_{c} = 6^{2} = 36

.

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