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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 statements 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 an 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 increase to a maximum value and then decreases.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An ideal gas is taken from the state A (Pressure p. volume V) to the s...
Work done = Area under p-V graph
A1>A2
(B) In the given process p-V equation will be of a straight line with negative slope and positive intercept
(Here α and β are positive constants)
This is an equation of parabola in T and V.
T has some maximum value
⇒ TA = TB
We concluded that temperatures are same at A and B and in between temperature has a maximum value.
Therefore, in going from A to B, T will first increase to a maximum value and then decrease.
Most Upvoted Answer
An ideal gas is taken from the state A (Pressure p. volume V) to the s...
Explanation:
To understand why option A is correct, let's analyze the given information step by step:
Step 1: Initial and final states
- The initial state (A) of the gas is given as pressure P and volume V.
- The final state (B) of the gas is given as pressure P/2 and volume 2V.
Step 2: Work done by the gas
- The work done by a gas during a process is given by the area under the curve on a p-V diagram.
- Since the process is along a straight line path, the area under the curve is a triangle.
- The work done by the gas in going from A to B is given by the formula: work = (1/2) * base * height.
- Here, the base is the change in volume (2V - V = V) and the height is the change in pressure (P/2 - P = -P/2).
- Therefore, the work done by the gas in going from A to B is: work = (1/2) * V * (-P/2) = -PV/4.
Step 3: Comparison with an isotherm
- An isotherm is a curve on a p-V diagram that represents a process at constant temperature.
- If the gas were taken from A to B along an isotherm, the work done would be given by the same formula: work = (1/2) * V * (-P/2) = -PV/4.
- Since the work done in the given process is the same as the work done along an isotherm, statement a) is correct.
Therefore, the correct statement is 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 an isotherm.
To understand why option A is correct, let's analyze the given information step by step:
Step 1: Initial and final states
- The initial state (A) of the gas is given as pressure P and volume V.
- The final state (B) of the gas is given as pressure P/2 and volume 2V.
Step 2: Work done by the gas
- The work done by a gas during a process is given by the area under the curve on a p-V diagram.
- Since the process is along a straight line path, the area under the curve is a triangle.
- The work done by the gas in going from A to B is given by the formula: work = (1/2) * base * height.
- Here, the base is the change in volume (2V - V = V) and the height is the change in pressure (P/2 - P = -P/2).
- Therefore, the work done by the gas in going from A to B is: work = (1/2) * V * (-P/2) = -PV/4.
Step 3: Comparison with an isotherm
- An isotherm is a curve on a p-V diagram that represents a process at constant temperature.
- If the gas were taken from A to B along an isotherm, the work done would be given by the same formula: work = (1/2) * V * (-P/2) = -PV/4.
- Since the work done in the given process is the same as the work done along an isotherm, statement a) is correct.
Therefore, the correct statement is 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 an isotherm.
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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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer?.
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 from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer?, a detailed solution 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 statements from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 from the followinga)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 an 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 increase to a maximum value and then decreases.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Physics tests.
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