The correct answer is (a) -660 J
To solve this problem, we can use the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Q) minus the work done by the system (W). Mathematically, it's expressed as:
[ΔU= Q - W ]
Given that ( ΔU = 460 J ) and ( Q = 200 J ) we can rearrange the equation to solve for ( W ):
[ W = Q - ΔU]
[ W = 200 J - 460 J]
[ W = -260 J]
So, the work done by the system is ( -260 J).
The correct answer is (A) (– 660 J).