An ideal gas in a cylinder is separated by a piston

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 $\mathrm{S}_{1}>\mathrm{S}_{2}$. If the piston is removed then the total entropy of the system will be:

  1. $\mathrm{S}_{1} \times \mathrm{S}_{2}$

  2. $\mathrm{S}_{1}-\mathrm{S}_{2}$

  3. $\frac{S_{1}}{S_{2}}$

  4. $\mathrm{S}_{1}+\mathrm{S}_{2}$


Correct Option: 4,

Solution:

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