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6 August, 12:31

The metal lid on a plastic container is

sealed at 2.3 atm of pressure at a

temperature of 298K. The container

is placed in the trunk of a car on a

cold, frigid day (T = 2°C). What is

the pressure of the gas inside the can

at this temperature?

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Answers (1)
  1. 6 August, 16:22
    0
    2.12 atm

    Explanation:

    Given dа ta:

    Initial pressure = 2.3 atm

    Initial temperature = 298 K

    Final temperature = 2°C = 2+273 = 275 k

    Final pressure = ?

    Solution:

    According to Gay-Lussac Law,

    The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.

    Mathematical relationship:

    P₁/T₁ = P₂/T₂

    Now we will put the values in formula:

    2.3 atm / 298 K = P₂/275 K

    P₂ = 2.3 atm * 275 K / 298 K

    P₂ = 632.5 atm. K / 298 K

    P₂ = 2.12 atm

    The pressure at 2°C is 2.12 atm.
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