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13 August, 11:03

If 22.5L of nitrogen at 748 mm Hg are compressed to 725 mm Hg at constant temperature. What is the new volume?2. A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant? 3. What pressure is required to compress 196.0 litersof air at 1.00 atmosphere into a cylinder whose volume is 26.0 liters?4. A 40.0 L tank of ammonia has a pressure of 12.7 kPa. Calculate the volume of the ammonia if its pressure is changed to 8.4 kPa while its temperature remains constant. 5.4. If a syringe is filled with 100 mL of air at 1 atm, how much pressure must be applied to reduce the volume to 60 mL?

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  1. 13 August, 11:10
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    a) 23.2 L

    b) 68.3kPa

    c) 7.5 atm

    d) 60.5L

    e) 1.67 atm

    Explanation:

    From Boyle's law:

    P1V1=P2V2

    P1 = 748mmHg

    P2=725mmHg

    V1 = 22.5L

    V2?

    V2 = P1V1/P2 = 748*22.5/725 = 23.2 L

    b)

    V1=4.0L

    P1 = 205*10^3Pa

    V2 = 12.0L

    P2=?

    P2 = P1V1/V2 = 205*10^3*4/12

    P2 = 68.3*10^3 Pa or 68.3kPa

    c)

    P1 = 1 atm

    V1 = 196.0L

    P2=?

    V2 = 26.0L

    P2 = P1V1/V2=1*196.0/26.0

    P2 = 7.5 atm

    d)

    V1 = 40.0L

    P1 = 12.7*10^3Pa

    V2=?

    P2 = 8.4*103Pa

    V2 = P1V1/P2 = 12.7*10^3*40.0/8.4*103

    V2=60.5L

    e)

    V1 = 100mL

    P1 = 1atm

    V2 = 60mL

    P2=?

    P2 = P1V1/V2 = 1*100/60

    P2 = 1.67 atm
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