The inversion temperature T_i , (K) of hydrog | vedclass

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(B) The inversion temperature $(T_i)$ is the temperature below which a gas cools upon Joule-Thomson expansion. It is calculated using the formula: $T_

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$220$

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(B) The inversion temperature $(T_i)$ is the temperature below which a gas cools upon Joule-Thomson expansion. It is calculated using the formula: $T_i = \frac{2a}{bR}$. Given: $a = 0.244 \, atm \, L^2 \, mol^{-2}$ $b = 0.027 \, L \, mol^{-1}$ $R = 0.0821 \, L \, atm \, K^{-1} \, mol^{-1}$ Substituting these values into the formula: $T_i = \frac{2 	imes 0.244}{0.027 	imes 0.0821} \approx \frac{0.488}{0.0022167} \approx 220.15 \, K$. Rounding to the nearest integer,we get $220 \, K$.

The inversion temperature $T_i \, (K)$ of hydrogen is (given van der Waal's constants $a$ and $b$ are $0.244 \, atm \, L^2 \, mol^{-2}$ and $0.027 \, L \, mol^{-1}$ respectively).

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