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Question 11.5: A 4.8-L sample of helium gas contains 0.22 mol of helium. Ho......

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.

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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

sol 11.5

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