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8.5.1: Practice Combined Gas Law

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  • This also has practice with Boyle's Law, Charles' Law, and Gay-Lussac's Law, which can be derived from the combined gas law:

    Combined Gas Law At conditions of Becomes Also Known As
    \(\frac{P_1 V_1}{T_1}=\frac{P_2 V_2}{T_2}\)

    Constant Temperature

    (T1 = T2)

    \(P_1 V_1=P_2 V_2\) Boyle's Law
    \(\frac{P_1 V_1}{T_1}=\frac{P_2 V_2}{T_2}\)

    Constant Pressure

    (P1 = P2)

    \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\) Charles' Law
    \(\frac{P_1 V_1}{T_1}=\frac{P_2 V_2}{T_2}\)

    Constant Volume

    (V1 = V2)

    \(\frac{P_1}{T_1}=\frac{P_2}{T_2}\) Gay-Lussac's Law


    Exercise \(\PageIndex{1}\)

    You have a sample of gas with a pressure of 1.86 atm, volume of 4.33 L, and temperature of 26.5 °C.  If you cool it to 12.7 °C and decrease the volume to 3.45 L, what will the pressure be?.


    2.23 atm.

    Exercise \(\PageIndex{1}\)

    You have a flexible container of gas with a volume of 5.220 L at 19.4 °C.  At what temperature would the volume increase to be 6.000 L?


    336.3 K or 63.1 °C.


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