10. If a reaction has ΔS = −100 J/K and is spontaneous, what must be true of the surroundings?A) ΔSsurroundings > 100 J/K B) ΔSsurroundings > −100 J/K C) ΔSsurroundings = 100 J/KD) ΔSsurroundings < −100 J/K E) ΔSsurroundings < 100 J/K

Answer : The correct option is, (C) ΔS (surroundings) = 100 J/K

Explanation :

As we know that:

ΔS (total) = ΔS (system) + ΔS (surroundings)

When the reaction is spontaneous ΔS (total) > 0 , that means positive value.

When the reaction is non-spontaneous ΔS (total) < 0 , that means negative value.

As we are given that:

ΔS (system) = -100 J/K       (for spontaneous reaction)

Thus, the ΔS (surroundings) must be greater than ΔS (system) that means positive value.

So, ΔS (surroundings) = 100 J/K

Hence, the correct option is, (C) ΔS (surroundings) = 100 J/K

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