Answer:
24 J taken out of the system
Step-by-step explanation:
Since work is done on the system, it should be negative. So the correct equation is:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done on the system.
In this case, we know that the internal energy changes by +76 J and 100 J of work is done on the system (with a negative sign). So we can substitute these values into the formula and solve for Q:
ΔU = Q - W
76 J = Q - (-100 J)
76 J = Q + 100 J
Q = 76 J - 100 J
Q = -24 J
Therefore, the amount of heat transferred to the system is -24 J. This negative value means that heat is leaving the system rather than entering it.