Final answer:
According to the rules of change in internal energy of a system it can be calculated using the equation ΔU = q - w. Given the values, we can calculate q to be -261 joules.
Step-by-step explanation:
The change in internal energy of a system can be calculated using the equation:
ΔU = q - w
Given that the internal energy changes by -1010 joules and 749 joules of work is done by the system, we can rearrange the equation to solve for q:
q = ΔU + w
Substituting the values, we have q = -1010 J + 749 J = -261 J
Therefore, q for the system is -261 joules.