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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg086

A gas has $a = 0.244 L^{2} atm mo l^{- 2}$ and $b = 0.0266 L mo l^{- 1}$ ( $R = 0.0821 L atm K^{- 1} mo l^{- 1}$ ). Which statements are correct?

AIts Boyle temperature is about $112 K$
BIts inversion temperature is about $223 K$
CAt $300 K$ it will warm on Joule-Thomson expansion
DAt $300 K$ its $Z$ versus $P$ curve shows a minimum

Answer: A, B, C

T_{B} = a / R b = 0.244/ (0.0821 \times 0.0266) = 111.7 K

(A true).

T_{i} = 2 T_{B} = 223.5 K

(B true).

300 K

is above

T_{i}

, so the gas (hydrogen) warms on throttling (C true).

300 K

is above

T_{B}

, so

Z

rises monotonically with no minimum (D false).

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