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70 calories of heat required to raise th...

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:

Text Solution

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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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Knowledge Check

  • 105 calories of heat is required to raise the temperature of 3moles of an ideal gas at constant pressure from 30^(@) C to 35^(@) C . The amount of heat required in calories to raise the temperature of the gas through the range (60^(@) C to 65^(@) C ) at constant volume is ( gamma = (C_(P))/(C_(V)) = 1.4)

    A
    50 cal
    B
    75 cal
    C
    70 cal
    D
    90 cal

  • 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

    A
    30 calories
    B
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    C
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