A system performs work $\Delta W$ when an amount of heat is$\Delta Q$ added to the system, the corresponding change in the internal energy is $\Delta U$. A unique function of the initial and final states (irrespective of the mode of change) is
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(d) Change in internal energy ($\Delta$U) depends upon initial an find state of the function while $\Delta$Q and $\Delta$W are path dependent also.
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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 :
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