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A quantity of monatomic ideal gas expands adiabatically from a volume of 2.0 liters to 6.0 liters. If the initial pressure is P0, what is the final pressure?

  • Physics -

    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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