Posted by Alex on Tuesday, February 12, 2013 at 10:55pm.
In an expansion of this type,
P*V^g = constant
where g is the specific heat ratio Cp/Cv, which for a monatomic gas is 5/3. Let Pf be the final pressure. The final volume is Vf = 3 Vo. Thus
Po*Vo^5/3 = Pf*(3Vo)^5/3
Pf/Po = (1/3)^(5/3) = 0.160
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