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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 statement(s) from the following.

A

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

B

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

C

(c) In the p-T diagram, the path AB becomes a part of a hyperbola

D

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

Text Solution

Verified by Experts

The correct Answer is:
B, D

Now, see the hint of Q-No 9 (d) of subjective questions for Level 1.
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One mole of an ideal gas is expanded from the state A(P_(0), V_(0)) to final state B having volume V. The process follows a path represented by a straight line on the P–V diagram (see figure). Up to what volume (V) the gas shall be expanded so that final temperature is half the maximum temperature during the process.

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 wrong statement from the following:

    A
    The work done by the gas in the process A to B exceeds the work that would be done by 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 gass is taken from state A (Pressuer P, VolumeV) to the state B ( Pressure P/2, Volume 2V) along a stright line path in PV diagram as shown in the adjacent figure . Select the correct statement (s) among the following .

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

  • An ideal gas is taken form the state A(P,V) to the state B((P)/(2),2V) along a straight line path in the P-V diagram. Select the correct options (i) 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 (ii) In the T-V diagram, the path AB becomes part of a hyperbola (iii) In the P-T diagram, the path AB becomes part of a hyperbola (iv) In going from A to B, the temperature T of the first increases to maximum value and then decreases

    A
    (i),(iii)
    B
    (ii),(iii)
    C
    (iii),(iv)
    D
    (i),(ii),(iv)