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A $54.0\ \mathrm{mL}$ sample of oxygen is collected over water at $20\ \mathrm{^\circ C}$ and $770\ \mathrm{Torr}$ pressure. What is the volume of the dry gas at STP?

By using the combined gas law, I came up with the answer $\pu{51.2 mL}$.

$770 - 21.1 = 748.9\ \mathrm{Torr}$ pressure for oxygen

$21.1$ = vapor pressure of water at $23\ \mathrm{^\circ C}$

$\frac{P_1V_1}{ T_1 }= \frac{P_2V_2 }{ T_2}$

$\frac{748.9V_1}{273 }= \frac{770\times54}{296}$

$V_1 = \pu{51.2 mL}$

Is this how it's supposed to be done?

user75030
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