Answer:
Change in internal energy, net heat transfer and work done are all zero in free expansion of gas.
Explanation:
In the free expansion of a gas,
the work done is zero
the heat transfer is zero
and the change in internal energy is zero
In free expansion,
Initial and final temperature are same, therefore T = T'
From the 1st law of thermodynamics
ĪU = Q - w Ā , Ā Ā where, ĪU is change in internal energy, Q is heat transfer and W is work done
We know that ĪU is a function of temperature only, therefore when initial and final temperature is same, then change in internal energy will be zero.
ā“ĪU = 0
Therefore 1st law becomes
0 = Q - W
Q = W
Now in free expansion there is no heat transfer.
ā“Q = 0
In Q = W , Ā since Q = 0,
ā“W = 0
Thus Change in internal energy, net heat transfer and work done are all zero in free expansion of gas.