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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg121

The molar volume of a real gas at $300 K$ and $20 atm$ is measured as $1.15 L mo l^{- 1}$ ( $R = 0.0821 L atm K^{- 1} mo l^{- 1}$ ). Which statements are correct?

AThe ideal molar volume under these conditions is $1.23 L mo l^{- 1}$
BThe compressibility factor is about $0.93$
CAttractive forces dominate at this state
DThe gas is above its Boyle temperature

Answer: A, B, C

V_{ideal} = RT / P = 24.63/20 = 1.2315 L mo l^{- 1}

(A true).

Z = 1.15/1.2315 = 0.9338 \approx 0.93

(B true).

Z

less than 1 means attraction dominates (C true), which happens only below the Boyle temperature (D false).

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