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23 March, 00:13

A gas has a volume of 1.6 liters at STP. What is the new volume when the temperature is

changed to 60K and the pressure stays constant at 1.0 atm?

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Answers (1)
  1. 23 March, 00:31
    0
    0.35L

    Explanation:

    Step 1:

    Data obtained from the question. This includes the following:

    Initial volume (V1) = 1.6L

    Initial pressure (P1) = stp = 1atm

    Initial temperature (T1) = stp = 273K

    Final temperature (T2) = 60K

    Final pressure (P2) = constant (the same as initial pressure)

    Final volume (V2) = ?

    Step 2:

    Determination of the new volume of the gas.

    Considering the question given, the gas is obeying Charles' law since the pressure is constant. Thus, the final volume i. e the new volume of the gas can be obtained as follow:

    V1/T1 = V2/T2

    1.6/273 = V2/60

    Cross multiply to express in linear form

    273 x V2 = 1.6 x 60

    Divide both side by 273

    V2 = (1.6 x 60) / 273

    V2 = 0.35L

    Therefore, the new volume of the gas is 0.35L
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