Explanation:
According to the first law of thermodynamics, energy can neither be created nor it can be destroyed. It can only be converted from one form to another.
Formula given by first law of thermodynamics is as follows.
U = q + w
The given values are as follows.
q = +563 J
w = -498 J (as work done by the system is negative)
Hence, putting the given values into the above formula and calculate the internal energy as follows.
U = q + w
= 563 J + (-498 J)
= 65 J
As internal energy is represented by [tex]\Delta U[/tex] or [tex]\Delta E[/tex]. Therefore, the value of [tex]\Delta E[/tex] for the given system is 65 J.
