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5 mole of oxygen are heated at constant ...

5 mole of oxygen are heated at constant volume from `10^(@)C "to" 20^(@)C`. What will be the change in internal energy of the gas? Gram molar specific heat of gas at constant pressure `=8cal. "Mole"^(-1).^(@)C^(-1)` and `R=8.36J "mole"^(-1).^(@)C^(-1)`.

Text Solution

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` because" "` `C_(V) = C_(P) -R= 8-2 = 6"cal"//"mole" . ^(@)C`
`therefore` `" "` Heat absorbed by `5` moles of oxygen at constant volume
` Q=nC_(V) DeltaT = 5xx6(20-10) = 30xx10 = 300cal`
At constant volume `Delta V= 0`. `" "` `therefore` ` " "` `DeltaW=0`
`therefore` `" "` From first law of thermodynamic `Q=DeltaV + W implies 300 = DeltaU + 0 implies DeltaU = 300` `"cal"`
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