MCQ
The specific heat of an ideal gas is
  • A
    Proportional to $T$
  • B
    Proportional to ${T^2}$
  • C
    Proportional to ${T^3}$
  • Independent of $T$

Answer

Correct option: D.
Independent of $T$
d
For an ideal gas,internal energy is given by:

$U =\frac{3}{2} NK _{ B } T$

$U =\frac{3}{2} RT$

Specific heat, $C _{ V }=\left(\frac{\partial U }{\partial T }\right)$

$=\frac{3}{2} R$

Therefore specific heat does not depend on temperature.

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