Thermodynamics Question 259

Question: A monatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T2 by releasing the piston suddenly. If L1 and L2 are the length of the gas column before and after expansion respectively, then T1T2 is given by

Options:

A) (L1L2)2/3

B) L1L2

C) L2L1

D) (L2L1)2/3

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Answer:

Correct Answer: D

Solution:

[d] Here TVγ1=constant

As γ=53, hence TV2/3=constant

Now T1L12/3=T2L22/3 (VL) ;

Hence, T1T2=(L2L1)2/3



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