When an ideal gas at pressure, P, temperature, T and volume, V, is isothermally compressed to V/n, its pressure becomes P i . If the gas is compressed adiabatically to V/n, its pressure becomes P a .

Question

When an ideal gas at pressure, P, temperature, T and volume, V, is isothermally compressed to V/n, its pressure becomes P_i. If the gas is compressed adiabatically to V/n, its pressure becomes P_a. The ratio of P_i/P_a is

Options:

Answer:

D

Solution:

Isothermal: P_i = nP. Adiabatic: P_a = n^γP (from PV^γ = const). P_i/P_a = n/n^γ = n^1-γ. Matches (d).

TestHub · Accepted Answer

Isothermal: P i = nP. Adiabatic: P a = n γ P (from PV γ = const). P i /P a = n/n γ = n 1-γ . Matches (d).

Chemistry - Thermodynamics - I Question with Solution | TestHub

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