Increasing entropy of a system ___________ the helmholtz free energy at constant temperature.

decreases

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increases

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no change

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none of these

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Solution

The correct option is B decreases
Helmholtz free energy is given by $A = U - T S$ where U=internal energy, T=temperature, S=entropy
When temperature is kept constant,
helmholtz free energy decreases when entropy increases
helmholtz free energy increases when entropy decreases (from the equation)

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