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An ideal gas is taken from the state A (...

An ideal gas is taken from the state A (pressure P, volume V) to the state B (pressure `P/2` , volume 2V) along a straight line path in the P-V diagram. Select the correct statements(s) from the following.

A

The work done by the gas in the process A to B is negative

B

In the T-V diagram, the path AB becomes a part of a parabola

C

In the P-T diagram, the path AB becomes a part of a hyperbola

D

In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases

Text Solution

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The correct Answer is:
B, D
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The pressure P and volume V of an ideal gas both increase in a process

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Knowledge Check

  • An ideal gas is taken from the state A (pressure P, volume V) to the state B (pressure P/2, volume 2V) along a straight line path in the P-V diagram. Select the correct statement(s) from the following

    A
    The work done by the gas in the process A to B exceeds the work that would be done by it if the system were taken from A to B along the isotherm.
    B
    In the T-V diagram, the path AB becomes a part of parabola
    C
    In the P-T diagram, the path AB becomes a part of hyperbola
    D
    In going from A to B the temperature T of the gas first increases to a maximum value and then decreases.

  • An ideal gas is taken from the state. A (pressure p, volume V) to the state B (pressure p/2, volume 2V) along a straight line path in the p-V diagram. (T - True & F - False) S_1 : The work done by the gas in the gas in process A to B exceeds the work that would be done by it if the system were taken from A to B along the isotherm. S_2 : In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases. S_3 : Work done by the gas is negative as pressure is decreasing.

    A
    TTF
    B
    TFT
    C
    FFF
    D
    FTF

  • The pressure P and volume V of an ideal gas both increase in a process

    A
    It is not possible to have such a process
    B
    The workdone by the system is positive
    C
    The teperature of the system increases
    D
    2 and 3

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