The gas was told the amount of heat Q – 400 J, while the force of the gas pressure did the work A = 200 J.

The gas was told the amount of heat Q – 400 J, while the force of the gas pressure did the work A = 200 J. Find the change in the internal energy of the gas.

According to the first law of thermodynamics:
∆U = Q – A, where ∆U is the change in the internal energy of the gas when heat is supplied to it, Q is the amount of heat that was transferred to the gas (Q = 400 J), A is the work done by the gas (A = 200 J).
Let’s calculate the change in the internal energy of the gas:
∆U = Q – A = 400 – 200 = 200 J.
Answer: The change in the internal energy of the gas is 200 J.