Question

During an adiabatic compression of 5 moles of a gas, 250 J of work was done. The change in the internal energy will be

50 J

− 150 J

250 J

− 250 J

​

Answer 1

During an adiabatic compression of 5 moles of a gas, 250 J of work was done. The change in the internal energy will be 250 J

Answer 2

Given :-

Moles of gas = 5

Work done = 250 J

To Find :-

The change in the internal energy.

Analysis :-

Here we are given with the heat transfer and the work done.

Using the first law of thermodynamics substitute the given values in the question and find the change in internal energy of a system accordingly.

Solution :-

We know that,

• u = Change in internal energy
• q = Heat transfer
• w = Work done

Using the formula,

$\underline{\boxed{\sf Internal \ energy=Heat \ transfer-Work \ done}}$

Given that,

Heat transfer (q) = 0

Work done (w) = 250 J

Substituting their values,

⇒ u = q - w

⇒ u = 0 - 250

⇒ u = -250 J

Therefore, the change in the internal energy is -250 J.