First slide

Law of equipartition of energy

Question

The average degrees of freedom per molecule of a gas are 6. The gas performs 25J of work when expands at constant pressure. The heat absorbed by the gas is

Moderate

A

75 J
B

100 J
C

150 J
D

125 J

Solution

$a c c o r d i n g t o e q u i p a r t i t i o n l a w o f e n e r g y C_{V} = \frac{f}{2} R = 3 R t h e n C_{P} = 4 R a n d γ f o r t h e g a s w i l l b e \frac{4}{3} a t c o n s \tan t p r e s s u r e p r o c e s s 1 - \frac{1}{γ} p a r t o f t o t a l h e a t i s u s e d f o r w o r k d o n e t h e n 1 / 4 t h o f t h e t o t a l h e a t i s w o r k d o n e = 25 J h e n c e t o t a l h e a t a b s o b e d w i l l b e 100 J$

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