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A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then
- a)Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas
- b)Compressing the gas isothermally will require more work to be done
- c)Compressing the gas through adiabatic process will require more work to be done
- d)Compressing the gas isothermally or adiabatically will require the same amount of work
Correct answer is option 'C'. Can you explain this answer?
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A gas is compressed isothermally to half its initial volume. The same ...
An adiabatic process occurs without transfer of heat or mass of substances between a thermodynamic system and its surroundings. In an adiabatic process, energy is transferred to the surroundings only as work.
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A gas is compressed isothermally to half its initial volume. The same ...
Answer:
To determine whether compressing the gas isothermally or adiabatically requires more work, we need to consider the thermodynamic processes involved and their effects on the gas.
1. Isothermal Process:
In an isothermal process, the temperature of the gas remains constant throughout the compression. This means that the gas exchanges heat with its surroundings to maintain a constant temperature. The work done during an isothermal process can be calculated using the formula: W = nRT ln(V2/V1), where W is the work done, n is the number of moles of the gas, R is the gas constant, T is the temperature, and V1 and V2 are the initial and final volumes, respectively.
2. Adiabatic Process:
In an adiabatic process, there is no exchange of heat between the gas and its surroundings. The compression is rapid, and the gas's temperature and pressure change accordingly. The work done during an adiabatic process can be calculated using the formula: W = (P2V2 - P1V1) / (γ - 1), where W is the work done, P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and γ is the heat capacity ratio.
Comparing the Processes:
In the given scenario, the gas is first compressed isothermally to half its initial volume and then separately compressed adiabatically to half its volume again.
During the isothermal compression, the temperature of the gas remains constant. As a result, the work done depends only on the volumes of the gas before and after compression.
During the adiabatic compression, the gas's temperature and pressure change. The work done depends on both the volumes and the pressures of the gas before and after compression.
Conclusion:
Since the work done during the adiabatic process depends on both the volumes and the pressures, whereas the work done during the isothermal process depends only on the volumes, it can be concluded that compressing the gas through an adiabatic process will require more work to be done.
Hence, the correct answer is option 'C' - Compressing the gas through the adiabatic process will require more work to be done.
To determine whether compressing the gas isothermally or adiabatically requires more work, we need to consider the thermodynamic processes involved and their effects on the gas.
1. Isothermal Process:
In an isothermal process, the temperature of the gas remains constant throughout the compression. This means that the gas exchanges heat with its surroundings to maintain a constant temperature. The work done during an isothermal process can be calculated using the formula: W = nRT ln(V2/V1), where W is the work done, n is the number of moles of the gas, R is the gas constant, T is the temperature, and V1 and V2 are the initial and final volumes, respectively.
2. Adiabatic Process:
In an adiabatic process, there is no exchange of heat between the gas and its surroundings. The compression is rapid, and the gas's temperature and pressure change accordingly. The work done during an adiabatic process can be calculated using the formula: W = (P2V2 - P1V1) / (γ - 1), where W is the work done, P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and γ is the heat capacity ratio.
Comparing the Processes:
In the given scenario, the gas is first compressed isothermally to half its initial volume and then separately compressed adiabatically to half its volume again.
During the isothermal compression, the temperature of the gas remains constant. As a result, the work done depends only on the volumes of the gas before and after compression.
During the adiabatic compression, the gas's temperature and pressure change. The work done depends on both the volumes and the pressures of the gas before and after compression.
Conclusion:
Since the work done during the adiabatic process depends on both the volumes and the pressures, whereas the work done during the isothermal process depends only on the volumes, it can be concluded that compressing the gas through an adiabatic process will require more work to be done.
Hence, the correct answer is option 'C' - Compressing the gas through the adiabatic process will require more work to be done.
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A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer?
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A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer?.
A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice A gas is compressed isothermally to half its initial volume. The same gas is compressed separatelythrough an adiabatic process until its volume is again reduced to half. Thena)Which of the case (whether compression through isothermal or through adiabatic process) requiresmore work will depend upon the atomicity of the gasb)Compressing the gas isothermally will require more work to be donec)Compressing the gas through adiabatic process will require more work to be doned)Compressing the gas isothermally or adiabatically will require the same amount of workCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
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