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

Five moles of hydrogen when heated through 20 K expand by an amount of

1.	Five moles of hydrogen when heated through 20 K expand by an amount of 8.3xx10^(-3)m^(3) under a constant pressureof 10^(5)N//m^(2). If C_(v)=20 J/moleK, find C_(p)
Answer» Solution :Mayer.s relation `C_(p)-C_(v)=R` Multiplying throughoutby `n DeltaT` `nC_(p)DeltaT - nC_(v) DeltaT=nR DeltaT` `nDeltaT(C_(p)-C_(v))=P DeltaV ( :.nR DeltaT=PDeltaV)` `C_(v) =20J`/mole Kand `DeltaV=8.3xx10^(-3) m^(3)` `5xx20(C_(p)-20)=10^(5) xx8.3 xx 10^(-3)` `( :.n=5, DeltaT=20K, P=1xx10^(5)N//m^(2))` `Cp-20=8.3""Cp=28.3 `J/mole K.