Chemistry - Thermodynamics - I Question with Solution | TestHub
If four identical samples of a monoatomic ideal gas initially at the same state (Po, Vo, To) are allowed to expand to triple their volumes by the following processes:
Process I: Isothermal reversible process
Process II: Reversible process P√(V) = constant
Process III: Reversible adiabatic process
Process IV: Irreversible adiabatic expansion against a constant external pressure of Po/4.
If the final states of the gases are shown by different points in the graph represented, then match each point with the correct process:
Options:
Answer:
Solution:
All end at 3Vo, so compare final pressures. I: P = Po/3 = 0.333Po. II: P = Po/√(3) = 0.577Po. III: P = Po/35/3 = 0.160Po. IV: 1.5(3P4Vo - PoVo) = -(Po)/4(2Vo), so 4.5P4 = Po, P4 = 0.222Po. Order from top: II (0.577) > I (0.333) > IV (0.222) > III (0.160), i.e. II-1, I-2, IV-3, III-4. Matches (c).
