What is the misunderstanding in the statement: when the entropy is increased, the temperature's also increased

Question

Can anyone tell me why the misconseption is incorrect, and what is the correct conseption.

Answer 1

I think the misunderstanding is that cause and effect is reversed here. Increasing temperature will cause an increase in a system's entropy.

Answer 2

Look at it this way. If you have a cylinder of gas and you compress it then the molecules of gas are becoming more ordered therefore entropy is decreased. Also as the gas is compressed the temperature goes up. So then it can be said that as entropy is decreased the temperature goes up. Looking at from the opposite way then as entropy increases temperature decreases.

Answer 3

A temperature differential is a sign of enthalpy, lack of entropy. It doesn't matter whether you are talking about a freezer full of ice or a star burning. The difference between a particular thing and everything else (the freezer and room temperature, the star and the rest of space) is order.

Entropy increases as the temperature differential decreases. If you unplug the freezer and the contents warm toward room temperature, or if the star dies and its husk cools toward the background temperature of the universe, then entropy is increasing.