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Question
The pressure on one mole of gas at s.t.p. is doubled and the temperature is raised to 546 K. What is the final volume of the gas ? [one mole of a gas occupies a volume of 22.4 litres at stp.]
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Solution
One mole of gas occupies a volume of 22.4 lit. at s.t.p.
∴ V1 = 22.4 lit.
P1 = 1 atm.
T1 = 273 K
V2 = ?
P2 = 2 atm.
T2 = 546 K
Using gas equation `("P"_1"V"_1)/"T"_1 = ("P"_2"V"_2)/"T"_2`
V2 = `("P"_1"V"_1"T"_2)/("T"_1"P"_2)`
`= (1xx22.4xx546)/(273xx2)` = 22.4 lits.
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