Explanation:
The given data is as follows.
q = -25.0 kJ, Pressure (P) = 1.50 atm
[tex]\Delta V[/tex] = (12 - 6) L = 6 L
Therefore, product of pressure and change in volume will be as follows.
[tex]P \Delta V = 1.50 atm \times 6 L[/tex]
= 7.5 L atm
= [tex]7.5 \times 101.3[/tex]
= 759.75 J
Now, we will calculate the change in internal energy as follows.
[tex]\Delta E = q + w[/tex]
= [tex]q + P \Delta V[/tex]
= -25000 kJ + 759.75 J
= 24240.25 J
or, = 24.240 kJ (as 1 kJ = 1000 J)
Thus, we can conclude that the change in internal energy ([tex]\Delta E[/tex]) for a system is 24.240 kJ.