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## Homework Statement

Consider a perfect monoatomic gas at pressure $p_i$ 1.2 atm and temperature $T_i$ 300K, that is in equilibrium inside a cylinder having a volume $V_i=1L$ and which piston has a mass of 1kg and is at an height of 50 cm. Admit that a mass M=3.13kg is over the piston. When that mass is removed, the gas suffers an adiabatic expansion until a final pressure pf=1.04837, a final temperature Tf and a final volume Vf.

What is the value of Vi/Vf?

## Homework Equations

3. The Attempt at a Solution [/B]

So my immediate thought was to use the equation of real gases

$$pV=nRT$$

´

We will have then

$$\frac{p_iV_i}{T_i}=\frac{p_fV_f}{T_f}$$

But I also don't know Tf so I'm stuck. Can someone give me a hint?