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Question
At 0°C and 760 mm Hg pressure, a gas occupies a volume of 10Q cm3. The Kelvin temperature (Absolute temperature) of the gas is increased by one-fifth while the pressure is increased one and a half times. Calculate the final volume of the gas. [80 cc.]
Solution
Initial conditions
P1 = 760
V1 = 100
T1 = 0 + 273 = 273 K
Final conditions
P2 = `760 x 3/2 = (380 xx 3)`
V2 = ?
T2 = `273 xx 1/5 + 273`
`= 273 xx 6/5`
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)`
`"V"_2 = (760xx100)/(273xx380xx3) xx (273 xx 6)/5` = 80 c.c
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