The relation between the internal energy (U) versus temeperature (T) for a 3 mole ideal gas in an isochoric process is given as `U=alpha+betaT` where `alpha` and `beta` are constant. If the specific heat capacity of the gas for above process is `(beta)/(m)` find the value of m.

Answer

3

Explanation

`U=alpha+betaT`
`dU=betadT`
put in `dU=nC_(V)dT`
`nC_(V)dT=betadT`
`C_(V)=(beta)/(3)`