The system absorbs 25 kJ of heat, calculate the work of the system if there is no change in internal energy?
Question
The system absorbs 25 kJ of heat, calculate the work of the system if there is no change in internal energy?
Solution
According to the first law of thermodynamics, the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. Mathematically, this is represented as:
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 by the system.
In this case, we are told that there is no change in internal energy (ΔU = 0) and that the system absorbs 25 kJ of heat (Q = 25 kJ). We are asked to find the work done by the system (W).
Substituting the given values into the equation, we get:
0 = 25 kJ - W
Solving for W, we find that the work done by the system is W = 25 kJ.
Therefore, the system does 25 kJ of work.
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