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During the adiabatic expansion of 2 moles of a gas, change in internal energy was found to be equal to 100 J. Work done in the process will be equal to
- a)100 J
- b)50 J
- c)200 J
- d)400 J
Correct answer is option 'A'. Can you explain this answer?
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During the adiabatic expansion of 2 moles of a gas, change in interna...
Adiabatic Expansion and Work Done
Adiabatic expansion refers to the process in which a gas expands without any heat exchange with the surroundings. In this process, the internal energy of the gas changes due to the work done on the gas.
The work done on the gas during adiabatic expansion can be calculated using the following formula:
W = -(ΔU)
where W is the work done, ΔU is the change in internal energy, and the negative sign indicates that work is done on the gas.
Given:
ΔU = 100 J
n = 2 moles (where n is the number of moles of the gas)
Calculation:
W = -(ΔU)
W = -(100 J)
W = -100 J
Since the work done is negative, it means that work is done on the gas during the adiabatic expansion process.
However, the question asks for the absolute value of the work done, which is 100 J. Therefore, the correct answer is option A, i.e., 100 J.
Conclusion:
During adiabatic expansion, the work done on the gas is equal to the negative of the change in internal energy. In this question, the work done was found to be equal to -100 J, which means work was done on the gas. However, the absolute value of the work done is 100 J, which is the correct answer.
Adiabatic expansion refers to the process in which a gas expands without any heat exchange with the surroundings. In this process, the internal energy of the gas changes due to the work done on the gas.
The work done on the gas during adiabatic expansion can be calculated using the following formula:
W = -(ΔU)
where W is the work done, ΔU is the change in internal energy, and the negative sign indicates that work is done on the gas.
Given:
ΔU = 100 J
n = 2 moles (where n is the number of moles of the gas)
Calculation:
W = -(ΔU)
W = -(100 J)
W = -100 J
Since the work done is negative, it means that work is done on the gas during the adiabatic expansion process.
However, the question asks for the absolute value of the work done, which is 100 J. Therefore, the correct answer is option A, i.e., 100 J.
Conclusion:
During adiabatic expansion, the work done on the gas is equal to the negative of the change in internal energy. In this question, the work done was found to be equal to -100 J, which means work was done on the gas. However, the absolute value of the work done is 100 J, which is the correct answer.
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Community Answer
During the adiabatic expansion of 2 moles of a gas, change in interna...
dU = −100 J, in adiabatic expansion
∴ dW = −dU = 100 J
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During the adiabatic expansion of 2 moles of a gas, change in internal energy was found to be equal to 100 J. Work done in the process will be equal toa)100 Jb)50 Jc)200 Jd)400 JCorrect answer is option 'A'. Can you explain this answer?
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