Which of the following is correct option for free expansion of an ideal gas under adiabatic condition ? Option 1) $q=0,\:\Delta T\neq 0,w=0$ Option 2) $q\neq0,\:\Delta T= 0,w=0$ Option 3) $q=0,\:\Delta T= 0,w=0$ Option 4) $q=0,\:\Delta T< 0,w\neq0$

First law of Thermodynamics -

Energy of universe is always conserved or total energy of an isolated system is always conserved

$\Delta E= q + W$

- wherein

$\Delta E=$ Internal Energy

$q=$ Heat

$W=$ work

Heat exchange between system and surrounding is zero i.e. $q= 0$

- wherein

$\Delta E= q+w$

$q= 0$

$\Delta E=w$

For free expansion, since $P_e_x_t=0$

So, Work done =0

$\Delta v=0$

$\Delta T=0$

Option 1)

$q=0,\:\Delta T\neq 0,w=0$

Incorrect option

Option 2)

$q\neq0,\:\Delta T= 0,w=0$

Incorrect option

Option 3)

$q=0,\:\Delta T= 0,w=0$

Correct option

Option 4)

$q=0,\:\Delta T< 0,w\neq0$

Incorrect option

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