Question

Which of the following is a false statement regarding entropy?

• A. At higher temperature, the same amount of heat addition will not change the entropy much in comparison to lower temperature.
• B. As temperature increases, entropy decreases.
• C. $dS\propto \frac{1}{T}$ (at constant $dq)$
• D. All of these

Answer 1

The correct option is B As temperature increases, entropy decreases.

a. As we know $△S=\frac{q}{T}$, at higher temperature, less entropy change would occur in comparision to lower temperature for the same amount of heat supply. So, this statement is true.

b. As temperature increases, the randomness increases. So, entropy increases. Hence, this statement is false.

c. $dS\propto \frac{1}{T}$ (at constant $dq$)
This is the aboslutely direct and true relation. So, this statement is true.

Hence, statement b is false.