The thermal energy of a system increases by 400 J, and 1100 J of heat is added to the system.
How much work did the system do?
Responses
400 J
400 J
700 J
700 J
1100 J
1100 J
1500 J
The correct answer is 700 J.
The first law of thermodynamics states that the change in thermal energy of a system equals the heat added to the system minus the work done by the system. Mathematically, it can be represented as:
ΔE = Q - W
Where ΔE is the change in thermal energy, Q is the heat added, and W is the work done.
Given that the thermal energy of the system increased by 400 J (ΔE = 400 J) and 1100 J of heat is added to the system (Q = 1100 J), we can substitute these values into the equation:
ΔE = Q - W
400 J = 1100 J - W
Rearranging the equation to solve for W:
W = 1100 J - 400 J
W = 700 J