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Question
22.4 litres of gas weighs 70 g at STP. Calculate the weight of the gas if it occupies a volume of 20 litres at 27°C and 700 mmHg of pressure.
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Solution
Step 1:
V1 = 20 litres
P1 = 700 mm
T1 = 300 K
V2= ?
T2 = 273 K
P2 = 760 mm
`("P"_1 "V"_1)/"T"_1 = ("P"_2 "V"_2)/"T"_2`
`(700xx20)/300 = (760xx"V"_2)/273`
`"V"_2 = (91xx7)/76 = 637/38 = 16.76` litres
Step 2:
22.4 litres of the gas at STP weighs = 70 g
16.76 litres of the gas has weight at STP =
`(70xx16.76)/22.4 = 52.38` g
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