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Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will be
- a)Pa > Pb
- b)Pa = Pb
- c)Pa < Pb
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two monatomic ideal gases A and B having same volume are initially kep...
Let the intial temperature be T, pressure be P and volume be V for isotheral process
For adiabatic process
This is our required solution.
For adiabatic process
This is our required solution.
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Two monatomic ideal gases A and B having same volume are initially kep...
Explanation:
Initial Conditions:
- Gas A and Gas B have the same volume, temperature, and pressure.
Process of Compression:
- Gas A is compressed isothermally, meaning its temperature remains constant during compression.
- Gas B is compressed adiabatically, meaning no heat exchange occurs during compression.
Final Conditions:
- Both gases have their volumes reduced to half of the initial volume.
- Gas A undergoes isothermal compression, so its pressure will increase in proportion to the decrease in volume (according to Boyle's law).
- Gas B undergoes adiabatic compression, where the pressure will increase more significantly compared to the isothermal process due to the absence of heat exchange.
Final Pressure Comparison:
- Since gas B undergoes adiabatic compression, it will have a higher final pressure compared to gas A, which undergoes isothermal compression.
- Therefore, the final pressure of gas A (Pa) will be less than the final pressure of gas B (Pb), leading to the relation: Pa < pb.="" />
Therefore, the correct answer is option 'c) Pa < pb'.="" />
Initial Conditions:
- Gas A and Gas B have the same volume, temperature, and pressure.
Process of Compression:
- Gas A is compressed isothermally, meaning its temperature remains constant during compression.
- Gas B is compressed adiabatically, meaning no heat exchange occurs during compression.
Final Conditions:
- Both gases have their volumes reduced to half of the initial volume.
- Gas A undergoes isothermal compression, so its pressure will increase in proportion to the decrease in volume (according to Boyle's law).
- Gas B undergoes adiabatic compression, where the pressure will increase more significantly compared to the isothermal process due to the absence of heat exchange.
Final Pressure Comparison:
- Since gas B undergoes adiabatic compression, it will have a higher final pressure compared to gas A, which undergoes isothermal compression.
- Therefore, the final pressure of gas A (Pa) will be less than the final pressure of gas B (Pb), leading to the relation: Pa < pb.="" />
Therefore, the correct answer is option 'c) Pa < pb'.="" />
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Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. 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 monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. 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 monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will bea)Pa > Pbb)Pa = Pbc)Pa < Pbd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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