The ideal gas law

Tutorial 6

                

Deduct from the law of perfect gases the laws of Boyle, Gay-Lussac, Charles and Avogadro ! Solution (Click): Ideal gas law: ..........$\frac{P_1\cdot V_1 }{T_1}=\frac{P_2\cdot V_2 }{T_2}$ or $P\cdot V\;=\;n\cdot R\cdot T$
Law of Boyle: ..........$T_1=T_2=T$, so $\frac{P_1\cdot V_1 }{T}=\frac{P_2\cdot V_2 }{T}$ and so $P_1\cdot V_1=P_2\cdot V_2= k_1$ ($k_1$ constant) Law of Gay-Lussac: ..........$P_1=P_2=P$, so $\frac{P\cdot V_1 }{T_1}=\frac{P\cdot V_2 }{T_2}$ and so $\frac{ V_1 }{T_1}=\frac{ V_2 }{T_2}= k_2$ ($k_2$ constant) Law of Charles: ..........$V_1=V_2=V$, so $\frac{P_1\cdot V }{T_1}=\frac{P_2\cdot V }{T_2}$ and so $\frac{ P_1 }{T_1}=\frac{ P_2 }{T_2}= k_3$ ($k_3$ constant) Law of Avogadro: ..........$P,T$ constant, so $V\;=\;n\cdot\frac{R\cdot T}{P} $ = $n\cdot k_4$ ($k_4$ constant)