•If a system gains 757 kJ of heat, resulting in a change in internal energy of the system equal to +176 kJ. How much work is done is  - 581 kJ
•The correct statement is: Work was done by  the system
Let Change in internal energy ΔU = 176 kJ
Let Heat gained by the system (q) = 757 kJ
Using the  First law of thermodynamics
ΔU = q + w
Where:
ΔU  represent  change in internal energy
q represent  heat added to system and w is work done.
Let plug in the formula
176 kJ = 757 kJ + w
w = 176 kJ - 757 kJ
w= - 581 kJ
Based on the above calculation the negative sign means  that work is done by the system
Inconclusion:
•If a system gains 757 kJ of heat, resulting in a change in internal energy of the system equal to +176 kJ. How much work is done is  - 581 kJ
•The correct statement is: Work was done by  the system
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