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Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?
- a)28o K
- b)20o K
- c)15o K
- d)10o K
Correct answer is option 'A'. Can you explain this answer?
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Two cylinders of equal size are filled with equal amount of ideal diat...
Explanation:
- The question describes two cylinders, A and B, filled with equal amounts of ideal diatomic gas at room temperature.
- Cylinder A has a piston that is free to move, while Cylinder B has a fixed piston.
- When the same amount of heat is supplied to both cylinders, the temperature of the gas in Cylinder A increases by 20oK.
- We need to determine the rise in temperature of the gas in Cylinder B.
Key Concept:
- The temperature of an ideal gas is directly proportional to its internal energy, according to the ideal gas law (PV = nRT).
- When heat is added to a gas, its internal energy increases, which causes a rise in temperature.
Analysis:
- In Cylinder A, the piston is free to move, so when heat is supplied, the gas can expand, and the piston moves outward.
- As the gas expands, it does work on the piston, which decreases its internal energy and thus its temperature.
- However, the heat supplied to the gas is sufficient to raise its temperature by 20oK.
Explanation:
- When heat is supplied to Cylinder B, the piston is fixed, so the gas cannot expand and do work on the piston.
- As a result, the internal energy of the gas in Cylinder B increases solely due to the heat supplied.
- Since both cylinders initially contain the same amount of gas and the same amount of heat is supplied, the increase in internal energy of the gas in Cylinder B should also be the same as Cylinder A.
- Therefore, the rise in temperature of the gas in Cylinder B will also be 20oK.
Conclusion:
- The rise in temperature of the gas in Cylinder B is 20oK, which corresponds to option A.
- The question describes two cylinders, A and B, filled with equal amounts of ideal diatomic gas at room temperature.
- Cylinder A has a piston that is free to move, while Cylinder B has a fixed piston.
- When the same amount of heat is supplied to both cylinders, the temperature of the gas in Cylinder A increases by 20oK.
- We need to determine the rise in temperature of the gas in Cylinder B.
Key Concept:
- The temperature of an ideal gas is directly proportional to its internal energy, according to the ideal gas law (PV = nRT).
- When heat is added to a gas, its internal energy increases, which causes a rise in temperature.
Analysis:
- In Cylinder A, the piston is free to move, so when heat is supplied, the gas can expand, and the piston moves outward.
- As the gas expands, it does work on the piston, which decreases its internal energy and thus its temperature.
- However, the heat supplied to the gas is sufficient to raise its temperature by 20oK.
Explanation:
- When heat is supplied to Cylinder B, the piston is fixed, so the gas cannot expand and do work on the piston.
- As a result, the internal energy of the gas in Cylinder B increases solely due to the heat supplied.
- Since both cylinders initially contain the same amount of gas and the same amount of heat is supplied, the increase in internal energy of the gas in Cylinder B should also be the same as Cylinder A.
- Therefore, the rise in temperature of the gas in Cylinder B will also be 20oK.
Conclusion:
- The rise in temperature of the gas in Cylinder B is 20oK, which corresponds to option A.
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Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?a)28o Kb)20o Kc)15o Kd)10o KCorrect answer is option 'A'. Can you explain this answer?
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Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?a)28o Kb)20o Kc)15o Kd)10o KCorrect answer is option 'A'. 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 Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?a)28o Kb)20o Kc)15o Kd)10o KCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?a)28o Kb)20o Kc)15o Kd)10o KCorrect answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?a)28o Kb)20o Kc)15o Kd)10o KCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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