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70 calories of heat is required to raise...

`70` calories of heat is required to raise the temperature of `2` mole of an ideal gas at constant pressure from `30^@C` to `35^@C` . The amount of heat required to raise the temperature of the same gas through the same range at constant volume is

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The correct Answer is:
50

`Q_(p) = C_(p).DeltaT therefore C_(p) = 70/5 = 14 cal C^(-1)`
`C_(p)-C_(v) = nR`
`C_(v) = 14-2 xx 2 =10 cal K^(-1)`
`Q_(v) =C_(v) DeltaT = 10 xx 5 = 50 cal`
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