ThermodynamicsHard
Question
A monoatomic ideal gas, initially at temperature T1, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expend adiabatically to a temperature T2 by releasing the piston suddenly. If L1 and L2 are lengths of the gas column before and after expansion respectively, then T1 / T2 is given by
Options
A.(L1 / L2)2/3
B.(L1 / L2)
C.(L2 / L1)
D.(L2 / L1)2/3
Solution
During adiabatic expansion, we know
TVγ-1 = constant
or T1V1γ-1 = T2V2γ-1
For noatomic gas, γ = 5 / 3
∴
[A = area of cross section of piston]
= (L2 / L1)2/3
TVγ-1 = constant
or T1V1γ-1 = T2V2γ-1
For noatomic gas, γ = 5 / 3
∴
[A = area of cross section of piston]
= (L2 / L1)2/3
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