Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IHeat & Heat CapacityMedium2 minQB

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Passage / Comprehension

An ideal gas $(C_{P} / C_{V} = γ)$ is expanded so that the amount of heat transferred to the gas is equal to the decrease in its internal energy.

What is the molar heat capacity of gas in this process ?

Answer:

Solution:

The first law of thermodynamics:

$d Q = d U + d W$ .

For an ideal gas, $d U = n C_{V} d T$ .

If $d Q = - d W$ , then $n C d T = n C_{V} d T + d W$ .

If $d W = - 2 n C_{V} d T$ , then $d Q = - n C_{V} d T$ .

Thus, $C = - C_{V}$ .

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Heat & Heat Capacity

⏱ 2mℹ️ Source: QB

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