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Question

Physics Question on Laws of thermodynamics

The correct option for free expansion of an ideal gas under adiabatic condition is :

A

q = 0, Δ\Delta T = 0 and w = 0

B

q = 0, Δ\Delta T < 0 and w > 0

C

q < 0, Δ\Delta T = 0 and w = 0

D

q > 0, Δ\Delta T > 0 and w > 0

Answer

q = 0, Δ\Delta T = 0 and w = 0

Explanation

Solution

For free expansion of ideal gas Pext=0P _{ e x t }= 0
Wpv=0W _{ p v }= 0
q=0q = 0 (adiabatic process)
ΔE=q+w\Delta E = q + w
ΔE=0\Delta E = 0
ΔE=nCvmΔT=0\Delta E = n C _{ v m } \Delta T = 0
q=0,ΔT=0,w=0q = 0 , \Delta \mathbf { T } = 0 , w = 0