6. At 0°C and 760 mm Hg 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:- (A) 80cc
Given that at 100℃ and 760 mm Hg pressure, a gas occupies a volume of 100cm3.
P1=760mm Hg
T1=0℃=273K
V1=100cm3
The kelvin temperature of the gas is increased by one-fifth while the pressure is increased one and half-times.
P2=760+21×760=1140 mm Hg
T2=273+51×273=327.6K
V2=?
Using combined gas law, we have
T1P1V1=T2P2V2
⇒273760×100=327.61140×V2
⇒V2=80cm
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