The volume of one mode of an ideal gas with adiabatic exponent `gamma` is varied according to the law `V = a//T`, where a is constant . Find the amount of heat obtained by the gas in this process, if the temperature is increased by `Delta T`.

Answer

A, B, D

Explanation

`V=a/T`
or
VT=constant
or V(pV)=constant
`:.` `pV^2=const ant`
In the process `pV^x=const ant`, molar heat capacity is
`C=(R)/(gamma-1)+(R)/(1-x)`
Here, `x=2`
`:.` `C=(R)/(gamma-1)+(R)/(1-2)=((2-gamma)/(gamma-1))R`
Now, `Q=nCDeltaT`
`=(1)((2-gamma)/(gamma-1))RDeltaT`
`=((2-gamma)/(gamma-1))RDeltaT`