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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