# 8.5.1: Practice Combined Gas Law


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?