1.

The work done in adiabatic process is given by

Answer»

`(nR(T_(1))-T_(2))/(gamma)`
`(nR(T_(1))-T_(2))/(gamma-1)`
`(nR(T_(1))-T_(2))R`
`(gamma(T_(1))-T_(2)R)/(n)`

Solution :In the adiabatic process `PV^(y) = "constant" (K)` If an ideal GAS is CHANGED form state `(P_(1)V_(1)T_(1)` to state `(P_(2)V_(2)T_(2)` ADIABATICALLY then work done
`W=overset(V_(2))UNDERSET(V_(1))intPdv=Koverset(V_(2)underset(V_(1))int(dV)/(V^(gamma)`
`W=(1)/(1-gamma)[(P_(2)V_(2)^(gamma))/(V_(2)^(gmma-1))-(P_(1)V_(1)^(gamma))/(V_(1)^(gamma-1))]=(1)/(1-gamma)[(P_(2)V_(2)-P_(1)V_(1))]`
`=(nR)/(1-gamma)(T_(2)-T_(1))=(nR(T_(1))-T_(2))/(gamma-1)`


Discussion

No Comment Found