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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 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.
Correct answer is option 'A,B,D'. Can you explain this answer?
Verified Answer
An ideal gas is taken from the state A (pressure P, volume V) to the s...
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 isothermal line. This is because the work done is the area under the P-V indicator diagram. As shown by the diagram the area under the graph in first diagram will be more than in second diagram. When we extrapolate the graph shown in figure (i). Let P0 be the intercept on P-axis and V0 be the intercept on V-axis. The equation of the line AB can be written as
Relation between P and T is the equation of a parabola.
Note :The above equation is of a parabola (between T and V) Differentiating the above equation w.r.t.V, we get
is the value for maxima of temperatureAlso,  PA VA = PB VB
⇒ TA= TB (From Boyle's law)
⇒ In going from A to B, the temperature of the gas first increase to a maximum and the decreases and
reaches back to the same value.
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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 a parabolac)In the P-T diagram, the path AB becomes a part of a hyperbolad)In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases.Correct answer is option 'A,B,D'. Can you explain this answer?
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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 a parabolac)In the P-T diagram, the path AB becomes a part of a hyperbolad)In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases.Correct answer is option 'A,B,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 a parabolac)In the P-T diagram, the path AB becomes a part of a hyperbolad)In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases.Correct answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 a parabolac)In the P-T diagram, the path AB becomes a part of a hyperbolad)In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases.Correct answer is option 'A,B,D'. Can you explain this answer?.
Solutions for 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 a parabolac)In the P-T diagram, the path AB becomes a part of a hyperbolad)In going from A to B, the temperature T of the gas first increases to a maximum value and then decreases.Correct answer is option 'A,B,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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