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Four moles of an ideal gas is initially ...

Four moles of an ideal gas is initially in state `A` having pressure ` 2 xx 10^(5) N//m^(2)` and temperature ` 200 K` . Keeping the pressure constant the gas is taken to state `B` at temperature of `400K`. The gas is then taken to a state `C` in such a way that its temperature increases and volume decreases. Also from `B` to `C` , the magnitude of `dT//dV` increases. The volume of gas at state `C` is eqaul to its volume at statem `A`. Now gas is taken to initial state `A` keeping volume constant. A total `1000 J` of heat is withdrawn from the sample of the cyclic process . Take `R=8.3 J// K// mol`.
The work done in path `B` to `C` is

A

`1000 J`

B

`-1000 J`

C

`-7640 J`

D

`5640 J`

Text Solution

Verified by Experts

The correct Answer is:
C
In cyclic process
` DeltaU=0`
`W_(AB)+W_(BC)+W_(CA)=-1000J`
`4.R+W_(BC)+0=-1000J`
`W_(BC)=-7640 J`
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Knowledge Check

  • Four moles of an ideal gas is initially in state A having pressure 2 xx 10^(5) N//m^(2) and temperature 200 K . Keeping the pressure constant the gas is taken to state B at temperature of 400K . The gas is then taken to a state C in such a way that its temperature increases and volume decreases. Also from B to C , the magnitude of dT//dV increases. The volume of gas at state C is eqaul to its volume at statem A . Now gas is taken to initial state A keeping volume constant. A total 1000 J of heat is withdrawn from the sample of the cyclic process . Take R=8.3 J// K// mol . The volume of gas at state C is

    A
    `0.0332 m ^(3)`
    B
    `0.22 m^(3)`
    C
    `0.332m ^(3)`
    D
    `3.32 m ^(3)`

  • Four moles of an ideal gas is initially in state A having pressure 2 xx 10^(5) N//m^(2) and temperature 200 K . Keeping the pressure constant the gas is taken to state B at temperature of 400K . The gas is then taken to a state C in such a way that its temperature increases and volume decreases. Also from B to C , the magnitude of dT//dV increases. The volume of gas at state C is eqaul to its volume at statem A . Now gas is taken to initial state A keeping volume constant. A total 1000 J of heat is withdrawn from the sample of the cyclic process . Take R=8.3 J// K// mol . Which graph between temperature T and volume V for the cyclic process is correct.

    A
    ` (##BMS_V06_C02_E01_249_O01.png" width="30%">
    B
    ` (##BMS_V06_C02_E01_249_O02.png" width="30%">
    C
    ` (##BMS_V06_C02_E01_249_O03.png" width="30%">
    D
    ` (##BMS_V06_C02_E01_249_O04.png" width="30%">

  • Four moles of an ideal gas is initially in a state A having pressure 2xx10^(5)N//m^(2) and temperature 200 K . Keeping pressure constant the gas is taken to state B at temperature of 400K. The gas is then taken to a state C in such a way that its temperature increases and volume decreases. Also from B to C, the magnitude of (dT)/(dV) increases. The volume of gas at state C is eaual to its volume at state A. Now gas is taken is initial state A keeping volume constant. A total of 1000 J heat is rejected from the sample in the cyclic process. Take R=8.3J//K//mol . The work done by the gas along path B to C is

    A
    `1000J`
    B
    `-1000J`
    C
    `-7640J`
    D
    `5640 J`

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    Four moles of an ideal gas is initially in a state A having pressure 2xx10^(5)N//m^(2) and temperature 200 K . Keeping pressure constant the gas is taken to state B at temperature of 400K. The gas is then taken to a state C in such a way that its temperature increases and volume decreases. Also from B to C, the magnitude of (dT)/(dV) increases. The volume of gas at state C is eaual to its volume at state A. Now gas is taken is initial state A keeping volume constant. A total of 1000 J heat is rejected from the sample in the cyclic process. Take R=8.3J//K//mol . Which graph between temperture T and volume V for the cyclic process is correct.

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