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Five moles of hydrogen when heated throu...

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)`.

Text Solution

Verified by Experts

We know that `C_(p)-C_(v)=R`
Multiplying throughout by `DeltaT`
`nC_(p)DeltaT-nC_(v)DeltaT=nRDeltaT`
`nDeltaT (C_(p)-C_(v))=PDeltaT`
`5xx20(C_(p)-20)=105xx8.3xx10-3`
`" " (because nRDeltaT=PDeltaV)`
`C_(p)-20=8.3`
`C_(p)=28.3J//"mole"K.`
`(becausen=5,DeltaT=20K,P=1xx10^(5)N//m^(2)&C_(v)=20J//"mole"K and DeltaV = 8.3 xx10^(3)m^(3))`
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