A sample of methane (CH4) has a volume of 25 mL at a pressure of 0.80 atm. What is the volume of the gas at each of the following pressures if there is no change in temperature? a) 0.40 atm; b) 2.00 atm; c) 2500 mmHg; d) 80.0 torr.

Question

Macy Donovan

Chemistry

24 March, 08:50

A sample of methane (CH4) has a volume of 25 mL at a pressure of 0.80 atm. What is the volume of the gas at each of the following pressures if there is no change in temperature? a) 0.40 atm; b) 2.00 atm; c) 2500 mmHg; d) 80.0 torr.

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Answers (1)

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Bryce Kline · Answer 1

a. 50ml b. 10ml c. 6.097ml d. 190.1 ml

Explanation:

According to Boyle's law

Volume is inversely proportional to pressure at constant temerature

Mathematically

P1V1=P2V2

P1=Initial pressure=0.8atm

V1=Initial volume=25ml

making V2 the subject

at 0.4atm P2=0.4 atm,

V2=25*0.8/0.4

=50ml

at 2 atm V2=25*0.8/2

=10 ml

1mmHg=0.00131579

2500mmHg=3.28 atm

At 3.28 atm, V2=25*0.8/3.28

=6.097 ml

at 80.0 torr

1 torr=0.00131579

80 torr=0.1052 atm

at 0.1048 atm V2=25*0.8/0.1048

=190.1 ml