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Four moles of an ideal gas is initially ...

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.

A

B

C

D

Text Solution

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The correct Answer is:
C
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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 . The work done by the gas along path B to C is

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 A total 1000 J of heat is withdrawn from the sample of the cyclic process .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.

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

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

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