Five moles of hydrogen when heated through 20 K expand by an amount of `8.3xx10^(-3)m^(3)` under a constant pressure of `10^(5)N//m^(2). " If "C_(v)=20J//"mole"K,"Find"C_(p)`.

Explanation

Mayer.s relation `C_(p)-C_(v)=R`
Multiplying throughout by `nDeltaT`
`nC_(p)Delta T-nC_(v) Delta T=nR Delta T`
`nDeltaT(C_(p)-C_(v))=PDeltaV ( :. nRDeltaT=PDeltaV)`
`C_(v)=20J//"mole Kand" DeltaV=8.3xx10^(-3)M^(3)`
`5xx20(C_(p)-20)=10^(5)xx8.3xx10^(-3)`
`( :. n=5, DeltaT=20K, P=1xx10^(5) N//m^(2))`
`Cp-20 = 8.3 " " Cp=28.3 J//"mole K"` .