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  • The correct option of free expansion of an ideal gas under adiabatic condition is  Option: 1 <img alt="q > 0, \Delta T > 0 \text

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

 

Option: 1

q > 0, \Delta T > 0 \text{ and }w>0


Option: 2

q = 0, \Delta T = 0 \text{ and }w=0


Option: 3

q = 0, \Delta T < 0 \text{ and }w>0


Option: 4

q < 0, \Delta T = 0 \text{ and }w=0


Answers (1)

best_answer

For an adiabatic process, q=0 and for free expansion, w=0, Therefore \Delta T=0. 

The temperature during adiabatic expansion does not change.

\Delta U-q+w=0+0=0\\\Delta U=0=C_vdT\\ Now,C_v\neq 0\quad so\ \Delta T=0

Therefore, Option(2) is correct.

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