At 0°C and 760mm Hg pressure a gas occupies a volume of 100cc. The kelvin temperature of the gas is increased by one fifth while the pressure is increased one and half time. calculate the final volume..
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2
Answer:
80cc
Given that at 100℃ and 760 mm Hg pressure, a gas occupies a volume of 100cm
3
.
P
1
=760mm Hg
T
1
=0℃=273K
V
1
=100cm
3
The kelvin temperature of the gas is increased by one-fifth while the pressure is increased one and half-times.
P
2
=760+
2
1
×760=1140 mm Hg
T
2
=273+
5
1
×273=327.6K
V
2
=?
Using combined gas law, we have
T
1
P
1
V
1
=
T
2
P
2
V
2
⇒
273
760×100
=
327.6
1140×V
2
⇒V
2
=80cm
3
Hence the final volume of the gas will be 80cc.
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