Question

The true statement amongst the following

• A. S is a function of temperature but ΔS is not a function of temperature.
• B. Both S and ΔS are functions of temperature.
• C. Both S and ΔS are not functions of temperature.
• D. S is not a function of temperature but ΔS is a function of temperature.

Answer 1

The correct option is B

Both S and ΔS are functions of temperature.

The explanation for the correct answer:-

In the case of option B,

Entropy,

1. Entropy is a function of temperature, at any temperature, the entropy can be given as:
2. $S_T=T{\int }_0^T\frac{nCdT}{T}$ , $C$ is the specific heat capacity, $S_T$ is the entropy at a given temperature$T$, $n$ is the number of moles, and $dT$ is the change in temperature.

Change in entropy,

1. Change in entropy is also a function of temperature, at any temperature, the entropy change can be given as:
2. $\Delta S=\int \frac{dq}{T}$, $dq$ is the heat transferred, $T$ is the temperature, $\Delta S$is the change in entropy.

So, entropy is the function of temperature and also entropy change is the function of temperature.

Hence option B is the correct option.