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Multiple Choice
Which of the following is a true statement about ΔSsurroundings?
A
ΔSsurroundings is positive when the system absorbs heat from the surroundings.
B
ΔSsurroundings will decrease as a result of an exothermic process.
C
ΔSsurroundings is always positive when ΔSuniv is positive.
D
ΔSsurroundings is independent of the heat released or absorbed by the system.
E
ΔSsurroundings is always positive when ΔSsystem is negative for a spontaneous process.
Verified step by step guidance
1
Understand the concept of entropy (S) and how it relates to the surroundings and the system. Entropy is a measure of disorder or randomness in a system.
Recall that the change in entropy of the surroundings (ΔS_surroundings) is related to the heat exchanged with the surroundings and the temperature at which the exchange occurs. For an exothermic process, the system releases heat to the surroundings, increasing the entropy of the surroundings.
Consider the relationship between the system and the surroundings in terms of entropy. For a spontaneous process, the total entropy change of the universe (ΔS_univ) is positive, which means ΔS_system + ΔS_surroundings > 0.
Analyze each statement: ΔS_surroundings is positive when the system absorbs heat from the surroundings is incorrect because it would decrease the surroundings' entropy. ΔS_surroundings will decrease as a result of an exothermic process is incorrect because it increases. ΔS_surroundings is always positive when ΔS_univ is positive is not necessarily true as ΔS_system could be negative. ΔS_surroundings is independent of the heat released or absorbed by the system is incorrect as it directly depends on it.
Conclude that the correct statement is: ΔS_surroundings is always positive when ΔS_system is negative for a spontaneous process, as this ensures that ΔS_univ is positive, satisfying the condition for spontaneity.