The pressure of a mass of air at 20 $\circ$ C is halved adiabatically.If the ratio of C_p to C_v for air is 1.41,calculate the resulting volume.

Question

Quizplus · Accepted Answer

According to the adiabatic process of an ideal gas, we have
P1V1^γ = P2V2^γ
where γ = CP/CV = 1.41 is the ratio of specific heats of air.
Since the pressure is halved, P2 = P1/2.
Solving the above equation for V2, we get
V2 = V1(P1/P2)^(1/γ) = 1.63*V1
Therefore, the resulting volume is 1.63 times the original volume.
Hence, the correct answer is B.

The Pressure of a Mass of Air at 20 ∘\circ∘ C Is Halved Adiabatically

The Pressure of a Mass of Air at 20^$\circ$C Is Halved Adiabatically