Step 1

$\mathbf{PV}\mathbf{}\mathbf{=}\mathbf{}\mathbf{nRT}\phantom{\rule{0ex}{0ex}}\mathbf{PV}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{m}}{\mathbf{MM}}\mathbf{RT}\phantom{\rule{0ex}{0ex}}\mathbf{m}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{PV}\mathbf{\times}\mathbf{MM}}{\mathbf{RT}}\phantom{\rule{0ex}{0ex}}\mathbf{m}\mathbf{}\mathbf{=}\mathbf{}\frac{(895\mathrm{torr}\times {\displaystyle \frac{1\mathrm{atm}}{760\mathrm{torr}}})(8.70L)(70.9{\displaystyle \frac{g}{\mathrm{mol}}})}{(0.08206{\displaystyle \frac{\mathrm{atm}\xb7L}{\mathrm{mol}\xb7K}})(24\xb0C+273.15)\mathbf{K}}$

Chlorine is widely used to purify municipal water supplies and to treat swimming pool water. Suppose that the volume of a particular sample of Cl_{2} gas is 8.70 L at 895 torr and 24 ^{o}C.

What volume will the Cl_{2} occupy at STP?

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