Inversion temperature is defined as the temperature above which a gas gets warm up and below which, the gas become cooler, when expanded adiabatically. Boyle temperature for a gas is 20°C. What will h

Question

Inversion temperature is defined as the temperature above which a gas gets warm up and below which, the gas become cooler, when expanded adiabatically. Boyle temperature for a gas is 20°C. What will happen to the gas if it is adiabatically expanded at 50°C?

TestHub · Accepted Answer

For a van der Waals gas T B = a/Rb and T i = 2a/Rb = 2T B . T B = 293 K, so T i ≈ 586 K. The gas is at 50°C = 323 K, which is below T i , so it cools on expansion. Matches (b).

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