A system has constant volume (ΔV=0) and the heat around the system increases by 45 J. What is the value of internal energy of the system in Joules?
Question
A system has constant volume (ΔV=0) and the heat around the system increases by 45 J. What is the value of internal energy of the system in Joules?
Solution
To find the change in internal energy of the system, 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, this is represented as:
ΔU = Q - W
In this case, the volume of the system is constant, which means no work is done (W = 0), because work is the product of pressure and the change in volume (W = PΔV). If ΔV = 0, then W = 0.
So, the equation simplifies to:
ΔU = Q
Given that the heat added to the system (Q) is 45 J, the change in internal energy (ΔU) of the system is also 45 J.
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