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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg143

Which statements about the Boyle temperature are correct?

AIt is the temperature at which the $Z$ versus $P$ curve has zero initial slope
BA gas above its Boyle temperature cannot be liquefied by compression
CA gas at its Boyle temperature behaves ideally at all pressures
DIt is proportional to the ratio $a / b$ for a van der Waals gas

Answer: A, B, D

At

T_{B}

the second virial coefficient and hence the initial slope vanish (A true).

T_{B}

exceeds

T_{c}

, so above

T_{B}

the gas is above

T_{c}

and cannot be liquefied (B true). Only the first-order deviation vanishes; higher terms remain, so ideal behaviour holds only over a limited pressure range (C false).

T_{B} = a / R b

(D true).

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