The entropy change of the surroundings is driven by heat flow and the heat flow determines the sign of ΔSsurr. It can be calculated by the following expression:
ΔSsurr = -(ΔH) / T
We calculate as follows:
ΔSsurr = -13200 / 1337 = 9.87 J/ K mol
Hope this answers the question. Have a nice day.
