# The true statement amongst the following

Question:

The true statement amongst the following is :

1. Both $\Delta \mathrm{S}$ and $\mathrm{S}$ are functions of temperature.

2. Both $S$ and $\Delta S$ are not functions of temperature.

3. $\mathrm{S}$ is not a function of temperature but $\Delta \mathrm{S}$ is a function of temperature.

4. $S$ is a function of temperature but $\Delta S$ is not a function of temperature.

Correct Option: 1

Solution:

A system at higher temperature has greater entropy (randomness). $\Delta \mathrm{S}$ is related with $q$ and $\mathrm{T}$ as:

$\Delta \mathrm{S}=\int \frac{d q}{\mathrm{~T}}$