Question
Physics Question on Pressure
The pressure and density of a diatomic gas (γ=57) change adiabatically from (P,?) to \left(P? If \frac{\rho'}{\rho}=32,then\frac{P '}{P}$ is
A
1281
B
32
C
128
D
256
Answer
128
Explanation
Solution
Here, γ=57,P1=P,ρ1=ρ;P2=P′,ρ2=ρ′ For an adiabatic process, PVγ= constant ∴P1V1γ=P2V2γ P1P2=(V2V1)γ=(ρ1ρ2)γ=(ρρ′)7/5=(32)7/5 PP′=(25)7/5=27=128