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For a perfect gas, if α and β are volume and pressure coefficients of expansion.
- a)α = β
- b)α > β
- c)β < α
- d)α > β for some gases and β > α for some gases
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For a perfect gas, if α and β are volume and pressure coeff...
For a perfect gas, if the pressure is doubled and the temperature is kept constant, the volume of the gas will be halved.
This relationship is described by Boyle's Law, which states that the pressure and volume of a given amount of gas at a constant temperature are inversely proportional. Therefore, if the pressure is doubled, the volume must be halved to maintain a constant temperature.
Mathematically, Boyle's Law can be expressed as:
P1V1 = P2V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. In this case, since the pressure is doubled, P2 = 2P1. The equation can be rearranged to solve for V2:
P1V1 = P2V2
V2 = (P1V1) / P2
V2 = (P1V1) / (2P1)
V2 = V1/2
Therefore, the volume of the gas will be halved if the pressure is doubled and the temperature is kept constant.
This relationship is described by Boyle's Law, which states that the pressure and volume of a given amount of gas at a constant temperature are inversely proportional. Therefore, if the pressure is doubled, the volume must be halved to maintain a constant temperature.
Mathematically, Boyle's Law can be expressed as:
P1V1 = P2V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. In this case, since the pressure is doubled, P2 = 2P1. The equation can be rearranged to solve for V2:
P1V1 = P2V2
V2 = (P1V1) / P2
V2 = (P1V1) / (2P1)
V2 = V1/2
Therefore, the volume of the gas will be halved if the pressure is doubled and the temperature is kept constant.
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For a perfect gas, if α and β are volume and pressure coefficients of expansion.a)α = βb)α > βc)β < αd)α > β for some gases and β > α for some gasesCorrect answer is option 'A'. Can you explain this answer?
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For a perfect gas, if α and β are volume and pressure coefficients of expansion.a)α = βb)α > βc)β < αd)α > β for some gases and β > α for some gasesCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For a perfect gas, if α and β are volume and pressure coefficients of expansion.a)α = βb)α > βc)β < αd)α > β for some gases and β > α for some gasesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a perfect gas, if α and β are volume and pressure coefficients of expansion.a)α = βb)α > βc)β < αd)α > β for some gases and β > α for some gasesCorrect answer is option 'A'. Can you explain this answer?.
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