If the gas is ideal, the internal energy depends only on the temperature. Therefore, when an ideal gas expands freely, its temperature does not change.
When the valve of the chamber opens, the ideal gas expands and since, it is free to move its entropy increases. Entropy is a measure of uncertainty or randomness. Thus, ΔS becomes positive.
The change in entropy ΔS for the given case will be positive because entropy increases simultaneously.
The degree measurement of the randomness of the molecules enclosed in a system is known as entropy.
Given data:
The initial pressure of the sample of an ideal gas is Pi.
The expansion of gas takes place at a constant temperature.
The given problem is based on the concept of internal energy and Entropy.
For an ideal gas, the internal energy depends only on the temperature.
Therefore, when an ideal gas expands freely, its temperature does not change.
Also, When the valve of the chamber opens, the ideal gas expands, and since it is free to move its entropy increases.
This is because entropy is a measure of uncertainty or randomness.
And the change in entropy is determined by ΔS.
So, for the given problem ΔS becomes positive.
Thus, we can conclude that the change in entropy ΔS for the given case will be positive because entropy increases simultaneously.
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