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Show that Delta U = nCV (T2 - T1) " and ...

Show that `Delta U = nC_V (T_2 - T_1) " and " Delta H = nC_P (T_2 - T_1)`

Text Solution

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For one mole of an ideal gas , we have
`C_V = (d U)/(dT)`
` dU = C_V dT`
For a finite change , we have
`Delta U = C_V Delta T`
`Delta U = C_V (T_2 - T_1)`
and n moles of an ideal gas we get
`Delta U = nC_V (T_2 - T_1) " " .....(1)`
Similarly for n moles of an ideal gas we get
`Delta H = nC_P (T_2 - T_1) " " ...(2)`
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