Which one among the following is the correct option for the right relationship betweenCP and CV for one mole of an ideal gas?
easy
Thermodynamics
2021
chemistry
CP+CV=R
CP−CV=R
Explanation
To solve this problem, we need to understand the relationship between CP and CV for one mole of an ideal gas.For an ideal gas, the specific heat capacities at constant pressure (CP)
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is defined as the amount of heat required to raise the temperature of one mole of a gas by one degree Celsius at constant volume.
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The specific heat capacity at constant pressure,
CP,
is defined as the amount of heat required to raise the temperature of one mole of a gas by one degree Celsius at constant pressure.
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When heating a gas at constant pressure, work is done by the gas as it expands. This requires additional energy compared to heating at constant volume.
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The additional energy required is precisely the work done by the gas, which is equal to