As we know that if the quantity of heat transferred from the surrounding to the system is q and work done in the process is w, then the change in internal energy,
ΔU = q + w
where heat absorbed q = 675 J and
work done on the system, w = 290 J
Therefore change in internal energy ∆U will be equal to:
ΔU = 675 J + 290 J = 965 J.