# Ideal gas law with two types of gases

Suppose a container with volume $V$. If I put 2 different types of monoatomic ideal gas, say type $A$ and type $B$, such that there are $N_1$ particles of gas $A$ and $N_2$ particles of gas $B$, with temperature $T$ and pressure $P$, can I still use the ideal gas law? In other words, is the following true?

$$PV = (N_1 + N_2)k_BT$$

• I think the $V$ should be removed and the $N_{s}$ should go to $n_{s}$ (i.e., number densities), just to avoid a possible issue with partial pressures/volumes. I am also inclined to think that each gas gets its own polytrope index... Oh you stated both are monatomic, okay that should be fine... Dec 20 '15 at 4:52