Combined Gas Law

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Combined gas law is the relationship between pressure volume and temperature for a system with a constant amount of gas.  This law comes from the combination of three different laws: Boyle's Law, Charles' Law, and Gay-Lussac's Law.

 

Combined Gas Law formula

\(\large{  \frac{ p_1\;V_1 }{ T_1 }  =  \frac{ p_2\;V_2 }{ T_2 }  }\)   

Where:

 Units English Metric
\(\large{ p_1 }\) = pressure of the gas under conditions \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ T_1 }\) = temperature of the gas under conditions \(\large{F}\) \(\large{C}\)
\(\large{ V_1 }\) = volume of the gas under conditions \(\large{in^3}\) \(\large{mm^3}\)
\(\large{ p_2 }\) = pressure of the gas under conditions \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\) 
\(\large{ T_2 }\) = temperature of the gas under conditions \(\large{F}\)  \(\large{C}\)
\(\large{ V_2 }\) = volume of the gas under conditions  \(\large{in^3}\) \(\large{mm^3}\)

Solve for:

\(\large{ p_1 =  \frac{ p_2 \; T_1 \; V_2 }{ T_2 \; V_1 }   }\)  
\(\large{ p_2 =  \frac{ p_1 \; T_2 \; V_1 }{ T_1 \; V_2 }   }\)  
\(\large{ T_1 =  \frac{ p_1 \; T_2 \; V_1 }{ p_2 \; V_2 }   }\)   
\(\large{ T_2 =  \frac{ p_2 \; T_1 \; V_2 }{ p_1 \; V_1 }   }\)   
\(\large{ V_1 =  \frac{ p_2 \; T_1 \; V_2 }{ T_2 \; p_1 }   }\)   
\(\large{ V_2 =  \frac{ p_1 \; T_2 \; V_1 }{ p_2 \; T_1 }   }\)   

 

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Tags: Temperature Equations Pressure Equations Gas Equations Ideal Gas Equations Gas Laws Equations