Question

An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is \(S_1\) and that of the other part is \(S_2\). Given that \(S_1>S_2\). If the piston is removed then the total entropy of the system will be:

• A. \(S_1 \times S_2\)
• B. \(S_1 - S_2\)
• C. \(S_1 + S_2\)
• D. \(S_1 / S_2\)

Hint:

Remember: Extensive properties (Entropy, Enthalpy, Mass, Volume) are additive. Intensive properties (Temperature, Pressure, Density) are not.

Answer 1

The Correct Option is C

Step 1: Entropy is an extensive property of a system.
Step 2: Extensive properties are additive in nature. This means the total value of the property for a system is the sum of the values for its individual parts.
Step 3: Therefore, the total entropy \(S_{total}\) is simply the sum of the entropy of the two parts: \(S_{total} = S_1 + S_2\).