Assume N₂ behaves as perfect gas. It expands reversibly and adiabatically from Vi to Vf with the pressure change from pi to pf. (a) Derive the temperature versus volume relationship and the pressure and volume relationship for this expansion. (b) When a sample of N₂ of mass 3.12 g at 23.0 °C is allowed to expand reversibly and adiabatically from 4.00 × 10² cm3 to 2.00 dm3, what is the work done by the gas?

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