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JEE Main levelSingle correct optionDifficulty 2 of 3rg137

A gas has Boyle temperature $T_{B}$ . The initial slope of its $Z$ versus $P$ isotherm is

Anegative for $T$ less than $T_{B}$ and positive for $T$ greater than $T_{B}$
Bpositive for $T$ less than $T_{B}$ and negative for $T$ greater than $T_{B}$
Calways positive
Dalways negative

Answer: A

The initial slope is proportional to

b - a / RT

. For

T

below

T_{B}

the attraction term

a / RT

exceeds

b

and the slope is negative; above

T_{B}

it is positive.

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