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Question
Calculate the volume of a gas ‘A’ at s.t.p., if at 37°C and 775 mm of mercury pressure, it occupies a volume of `9 1/2` litres.
Solution
Original conditions
T1 = 37 + 273 = 310 K
P1 = 775 mm
V1 = `9 1/2` litres = `19/2`
Final conditions
T2 = 273 K
P2 = 760 mm
V2 = ?
Using gas equation `("P"_1"V"_1)/"T"_1 = ("P"_2"V"_2)/"T"_2`
`(775 xx 19) / (310 xx 2)` = `(760 xx V_2) / 273`
∴ V2 = `(775 xx 19 xx 273)/(310 xx 2 xx 760) = 8.5312` litres
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