(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

3. The attempt at a solution

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

$$pV=nRT$$

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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?

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# Volume ratio in an adiabatic gas expansion

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