CHXI06:STATES OF MATTER
314215
A gas occupies \({\rm{300}}\,{\rm{m}}\,{\rm{L}}\) at \(\mathrm{27^{\circ} \mathrm{C}}\) and \(\mathrm{730 \mathrm{~mm}}\) of Hg pressure. What would be its volume at STP?
1 \({\rm{162}}{\rm{.2}}\,{\rm{m}}\,{\rm{L}}\)
2 \({\rm{262}}{\rm{.2}}\,{\rm{m}}\,{\rm{L}}\)
3 \({\rm{362}}{\rm{.}}\,{\rm{m}}\,{\rm{L}}\)
4 \({\rm{462}}{\rm{.2}}\,{\rm{m}}\,{\rm{L}}\)
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Explanation:
Given \(\mathrm{T_{1}=300 K, T_{2}=273 K(S T P)}\) \({{\rm{V}}_{\rm{1}}}{\rm{ = 300ml = }}\left( {\frac{{{\rm{300}}}}{{{\rm{1000}}}}} \right){\rm{litre,}}\) \({{\rm{P}}_{\rm{1}}}{\rm{ = }}\left( {\frac{{{\rm{730}}}}{{{\rm{760}}}}} \right){\rm{atm}} \cdot {{\rm{P}}_{\rm{2}}}{\rm{ = 1\;atm \times ,}}\,{{\rm{V}}_{\rm{2}}}{\rm{ = ?}}\) \(\mathrm{\dfrac{P_{1} V_{1}}{T_{1}}=\dfrac{P_{2} V_{2}}{T_{2}}}\) \(\mathrm{\dfrac{730 \times 300}{760 \times 1000 \times 300}=\dfrac{1 \times V_{2}}{273}}\) \(\mathrm{\therefore \quad V_{2}=0.2622}\) litre \(\mathrm{=262.2 \mathrm{~mL}}\).