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Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?
- a)Gas X has higher temperature
- b)Gas Y has lower pressure
- c)Gas Y has higher pressure
- d)Gas X and Y are at 0 atm pressure
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two gases X and Y kept in separate cylinders with same initial tempera...
Work done in isothermal process is greater than work done in adiabativ process so P of X is greater than Y
Community Answer
Two gases X and Y kept in separate cylinders with same initial tempera...
Explanation:
When two gases, X and Y, kept in separate cylinders with the same initial temperature and pressure are compressed to one third of their volume, the gas that undergoes an adiabatic process would have a higher pressure than the gas that undergoes an isothermal process. This can be explained as follows:
1. Isothermal Process:
In an isothermal process, the temperature of the gas remains constant while the volume decreases. This means that the pressure of the gas increases as the volume decreases. The relationship between pressure and volume in an isothermal process is given by the following equation:
PV = constant
where P is the pressure of the gas, V is the volume of the gas, and the constant is the product of the initial pressure and volume of the gas.
2. Adiabatic Process:
In an adiabatic process, no heat is exchanged between the gas and the surroundings. This means that the temperature of the gas changes as the volume decreases. The relationship between pressure and volume in an adiabatic process is given by the following equation:
P(V)^γ = constant
where γ is the ratio of the specific heats of the gas at a constant pressure and constant volume. For most gases, γ is greater than 1.
3. Comparison:
Since the initial temperature and pressure of both gases X and Y are the same, the initial value of the constant in the equations for both gases is the same. When the volume of gas X is compressed to one third through an isothermal process, the final pressure of the gas would be three times the initial pressure. However, when the volume of gas Y is compressed to one third through an adiabatic process, the final pressure of the gas would be higher than three times the initial pressure since the temperature of the gas has increased. Therefore, gas Y would have a higher pressure than gas X.
Conclusion:
Gas Y would have a higher pressure than gas X when both gases are compressed to one third of their volume through isothermal and adiabatic processes, respectively.
When two gases, X and Y, kept in separate cylinders with the same initial temperature and pressure are compressed to one third of their volume, the gas that undergoes an adiabatic process would have a higher pressure than the gas that undergoes an isothermal process. This can be explained as follows:
1. Isothermal Process:
In an isothermal process, the temperature of the gas remains constant while the volume decreases. This means that the pressure of the gas increases as the volume decreases. The relationship between pressure and volume in an isothermal process is given by the following equation:
PV = constant
where P is the pressure of the gas, V is the volume of the gas, and the constant is the product of the initial pressure and volume of the gas.
2. Adiabatic Process:
In an adiabatic process, no heat is exchanged between the gas and the surroundings. This means that the temperature of the gas changes as the volume decreases. The relationship between pressure and volume in an adiabatic process is given by the following equation:
P(V)^γ = constant
where γ is the ratio of the specific heats of the gas at a constant pressure and constant volume. For most gases, γ is greater than 1.
3. Comparison:
Since the initial temperature and pressure of both gases X and Y are the same, the initial value of the constant in the equations for both gases is the same. When the volume of gas X is compressed to one third through an isothermal process, the final pressure of the gas would be three times the initial pressure. However, when the volume of gas Y is compressed to one third through an adiabatic process, the final pressure of the gas would be higher than three times the initial pressure since the temperature of the gas has increased. Therefore, gas Y would have a higher pressure than gas X.
Conclusion:
Gas Y would have a higher pressure than gas X when both gases are compressed to one third of their volume through isothermal and adiabatic processes, respectively.
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Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer?
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Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer?.
Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer?.
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Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has lower pressurec)Gas Y has higher pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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