Monoatomic , diatomic and triatomic gases whose initial volume and pressure are same, each is compressed till their pressure becomes twice the initial pressure. Then:

Options

A. if the compression is isothermal, then their volumes will be same
B. if the compression is adiabatic, then their final volumes will be different
C. if the compression is adiabatic , then monoatomic gas will have maximum final volume
D. All of these

Answer

D

Explanation

`P_(i)=P,P_(f)=2P,V_(i)=V,V_(f)=?`
For adiabatic process `PV^(gamma)=(2P)V_(f)^gamma`
`impliesV_(f)=((1)/(2))^(1//gamma) V,
gammauarrV_F uarr`
for monoatomic gas `gamma` max. For isthermal process
`PV=(2P)V_(f)impliesV_(f)=V//2`.
Independent on nature of gas.