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22 July, 10:44

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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  1. 22 July, 14:22
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    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
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