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Chemistry help involving temp, pressure and liters?

A sample of a gas in a cylindrical chamber with a movable piston occupied a volume of 1.40 L when the pressure was 762 torr and the temperature was 26.9 °C. The volume of the system was readjusted to 0.150 L by moving the piston. What was the pressure exerted on the surface of the piston, in atmospheres, by the gas if the temperature of the system remained constant?

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  • 1 decade ago
    Favorite Answer

    All right this is simple.

    You can just use the formule P1V1/T1 = P2V2/T2

    In the problem you already have P1, V1, T1, V2, and T2. So you are finding P2.

    So you manipulate the formula so you are solving for P2.

    P2 = P1V1T2 / T1V2

    Then you have to change 762 torr to atm and 26.9 degrees celsius to Kelvin.

    There are 760 torr in 1 atm

    So you divide 762 torr by 760

    762 torr * 1 atm / 760 torr = 1.00 atm

    Now in order to change Celsius to Kelvin you just add 273

    26.9 + 273 = 299.9K

    Now you just plug in the numbers.

    P2 = (1 atm)(1.40L)(299.9K)/(299.9K)(0.150L) = 9.33 atm

    Hope that helped!!

    Source(s): Chemistry Major
  • 1 decade ago

    Variables:

    V1 = 1.40 L

    P1 = 762 torr

    V2 = 0.15 L

    P2 = ? atm

    Temperature can be ignored because it is constant.

    Since your problem deals with volume and pressure only, use Boyle's Law:

    P1*V1 = P2*V2

    Solve for the missing variable:

    P2 = P1*V1 / V2

    P2 = (762 torr * 1.40 L) / (0.150 L)

    P2 = 7112 torr

    Then convert this to the proper unit and round to three significant figures.

    1 atm = 760 torr

    7112 torr * (1 atm / 760 torr) = 9.36 atm

    Make sure your answer makes sense. Your initial pressure was basically 1 atm. Then you reduced the volume by nearly a factor of ten. The pressure then must increase by nearly a factor of ten, and it does.

    Source(s): chemistry teacher
  • 1 decade ago

    Since temperature remains constant, we will apply Boyle's law

    P1 V1 = P2 V2 P1= 762 torr V1= 1.40L V2= 0.150L P2=?

    P2 = P1V1/ V2 = (762 X 1.40) / 0.150 = 7112 torr =9.36 atm

    Looks like its a lot of pressure hmm......

  • Anonymous
    5 years ago

    Use the combined gas law to find the ratio of the final V to the initial V. P1V1 / T1 = P2V2 / T2 720. torr x V1 / 298 K = 605 torr x V2 / 288 K V2 / V1 = (720. torr x 288 K) / (605 torr x 298 K) = 1.15 The final volume will be 1.15 times greater than the original volume. The change will be 0.15 of the original (or 15 % greater).

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  • 1 decade ago

    Email me faustomrtnz@yahoo.com

    I just taught this in chemistry today. I have a simple method to performing all this.

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