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Question
At 0°C and 760 mmHg pressure, a gas occupies a volume of 100 cm3. Kelvin temperature of the gas is increased by one-fifth and the pressure is increased one and a half times. Calculate the final volume of the gas.
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Solution
V = 100 cm3
P = 760 mm
T = 273 K
V1= ?
`"T"_1 = 273 xx 1/5 = 54.6 = 273 + 54.6 = 327.6 "K"`
`"P"_1 = 1 1/2 xx 760 = 760 xx 3/2 = 1140` mm
V1 = ?
Using gas equation,
`"PV"/"T" = ("P"_1"V"_1)/"T"_1`
`(760xx100)/273 = (1140 xx "V"_1)/327.6`
V1 = 80 cm3
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