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Heat Capacity

Which of the ...

Question

Which of the following graphs correctly represents the variation of molar heat capacity at constant volume with temperature for an ideal monoatomic gas?

A

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B

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C

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D

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Solution

The correct option is C
For an ideal monoatomic gas,
Degree of freedom $(f) = 3$
$∴ C_{V} = \frac{f}{2} R = \frac{3 R}{2}$
$C_{V}$ is independent of temperature, hence graph of $C_{V} versus T$ will be a straight line parallel to $T -$ axis.

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