Formula from Chapter 9: chemical amount of a gas component

\(P_{\mathrm{component}} \cdot V_{\mathrm{gas}} = n_{\mathrm{component}} \cdot R \cdot T\)     

You can use this if: the sample is a gas mixture such as air

\(R\) \(= 8.314\ \frac{\mathrm{J}}{\mathrm{mol}\ \mathrm{K}}\)


\(T\) \(= 298.15\ \mathrm{K}\)    room temperature


\(P_{\mathrm{\ce{O2}}}\) \(= 0.19\ \mathrm{atm}\)    partial pressure of oxygen at sea level


\(V_{\mathrm{gas}}\) \(= 25.0\ \mathrm{L}\)   


\(n_{\mathrm{\ce{O2}}}\) \(= \dfrac{P_{\mathrm{\ce{O2}}} \cdot V_{\mathrm{gas}}}{R \cdot T}\)

\(\ \ \ =\dfrac{0.19\ \mathrm{atm} \cdot 25.0\ \mathrm{L}}{8.314\ \frac{\mathrm{J}}{\mathrm{mol}\ \mathrm{K}} \cdot 298.15\ \mathrm{K}}\)

\(\ \ \ =\dfrac{4.75\ \mathrm{atm}\ \mathrm{L}}{2478.82\ \frac{\mathrm{J}}{\mathrm{mol}}}\)

\(\ \ \ =0.19\ \mathrm{mol}\)