Calculate the values of `DeltaU` and `DeltaH` for an ideal gas in terms of `C_P` and `C_V`.

Explanation

Calculation of `DeltaU` and `DeltaH`:
For one mole of an ideal gas , we have
`C_V=(dU)/(dT)`
`dU=C_V. dT`
For a finite change , we have
`DeltaU=(U_2-U_1)=C_V(T_2-T_1)` and for n moles of an ideal gas we get
`DeltaU=n C_V (T_2-T_1)`...(1)
We know,
`DeltaH=Delta(U+PV)`
`DeltaH=DeltaU+Delta(PV)`
`DeltaH=DeltaU+DeltaRT` [`because` PV=RT]
`DeltaH=DeltaU+RDeltaT`
`DeltaH=C_V(T_2-T_1)+R(T_2-T_1)`
`DeltaH=(C_V+R)(T_2-T_1)`
`DeltaH=C_P(T_2-T_1) " " [because C_P -C_V=R]`
For n moles of an ideal gas we get
`DeltaH=n C_P(T_2-T_1)`....(2)