Heat Capacity + Vaccum + Springs +Heat!

The figure shows a system with adiabatic walls, a piston and a spring. The space on the left side of the piston is filled with 1 mole of an ideal mono atomic gas and right side is a vacuum with a spring. Initially the system is in equilibrium. Now the gas is heated. Molar heat capacity of the gas in this case is \(C=\frac{nR}{2}\) . What is the value of \(n\) is?

(Neglect heat capacities of wall, piston & spring)

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