Explanation:
The given data is as follows.
[tex]T_{1}[/tex] = 400 K, [tex]T_{2}[/tex] = 500 K,
[tex]\Delta Q[/tex] = 25 kJ = 25000 J (as 1 kJ = 1000 J)
Now, we will calculate the change in entropy as follows.
[tex]\Delta S = \frac{\Delta Q}{\Delta T}[/tex]
Putting the given values into the above formula as follows.
[tex]\Delta S = \frac{\Delta Q}{\Delta T}[/tex]
= [tex]\frac{25000 J}{(500 K - 400 K)}[/tex]
= 250 J/K
Hence, we can conclude that change in entropy is 250 J/K.
