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2 October, 20:05

a gas measured a volume of 100 ml under pressure of 740mmhg what would thr volume be under a pressure of 780mmhg with constant tempature

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Answers (1)
  1. 2 October, 22:39
    0
    The new pressure will be

    1000 L

    , rounded to one significant figure.

    Explanation:

    Boyle's law states that when a gas is held at a constant temperature and mass in a closed container, the volume and pressure vary inversely. The equation to use is

    P

    1

    V

    1

    =

    P

    2

    V

    2

    .

    Given

    V

    1

    =

    200

    mL

    *

    1

    L

    1000

    mL

    =

    0.2 L

    P

    1

    =

    700 mmHg

    V

    2

    =

    100

    mL

    *

    1

    L

    1000

    mL

    =

    0.1 L

    Unknown

    P

    2

    Equation

    P

    1

    V

    1

    =

    P

    2

    V

    2

    Solution

    Rearrange the equation to isolate

    P

    2

    and solve.

    P

    2

    =

    P

    1

    V

    1

    V

    2

    P

    2

    =

    (

    700

    mmHg

    *

    0.2

    L

    )

    0.1

    L

    =

    1400 L

    , which must be rounded to

    1000 L

    because all of the measurements have only one significant figure
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