A 4.8-L sample of helium gas contains 0.22 mol of helium. How many additional moles of helium gas must be added to the sample to obtain a volume of 6.4 L? Assume constant temperature and pressure.
GIVEN:
V_1 = 4.8 L
n_1 = 0.22 mol
V_2 = 6.4 L
FIND: n_2
RELATIONSHIPS USED
{\frac{V_{1}}{n_{1}}}\,=\,{\frac{V_{2}}{n_{2}}} (Avogadro’s law, presented in this section)
{\frac{V_{1}}{n_{1}}}\,=\,{\frac{V_{2}}{n_{2}}} \\ n_{2}={\frac{V_{2}}{V_{1}}}\;n_{1} \\ ={\frac{6.4\,{\mathrm{\cancel{L}}}}{4.8\,{\mathrm{\cancel{L}}}}}0.22\,{\mathrm{mol}}= 0.29 mol
mol to add = 0.29 – 0.22 = 0.07 mol