A certain mass of a gas occupies 500 mL at 27 degC and 750 mm Hg. Its volume at STP (0 degC, 760 mm Hg) is nearest to

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A certain mass of a gas occupies $500 mL$ at $2 7^{\circ} C$ and $750 mm Hg$ . Its volume at STP ( $0^{\circ} C$ , $760 mm Hg$ ) is nearest to

\frac{P _{1} V _{1}}{T _{1}} = \frac{P _{2} V _{2}}{T _{2}}

V_{2} = 500 \times \frac{750}{760} \times \frac{273}{300} = 449.0 mL \approx 449 mL