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JEE Main levelSingle correct optionDifficulty 2 of 3ck070

A gas-phase reaction $2 A (g) products$ is second order in $A$ . The volume of the container is reduced isothermally to one quarter of its original value (no reaction occurs during compression). The initial rate becomes

A16 times the original
B4 times the original
C8 times the original
D2 times the original

Answer: A

Reducing the volume to 1/4 raises the concentration of

A

four-fold. Rate

\propto [A]^{2}

, so the rate becomes

4^{2} = 16

times, while

k

is unchanged at constant temperature.

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