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JEE Main levelSingle correct optionDifficulty 2 of 3ce191

For a reaction $A + B C + D$ the equilibrium constant is $4$ at $300 K$ and $9$ at $400 K$ . The reaction is

Aendothermic, since $K$ increases with temperature
Bexothermic, since $K$ increases with temperature
Cendothermic, since $K$ is greater than 1 at both temperatures
Dthermoneutral, since $K$ is of the same order

Answer: A

By van't Hoff,

d ln K / d T = Δ H / R T^{2}

.

K

rises from 4 to 9 on heating, so

Δ H > 0

: the reaction is endothermic.

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