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

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`dU_(1) = dQ_(1)-dW_(1) rArr = 70-2R Delta T`
`D=dU_(1) = 70-10R rArr dU_(2) = dQ_(2)-d W_(2)`
`dU_(2) = dQ_(2)-O rArr As dU_(1) = dU_(2)`.
`70 - 10R = dQ_(2) rArr dQ_(2) = 50 cal " " [R = 2 cal]`

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