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13 February, 13:33

Jeff wants to find the volume of a gas in a cylinder. He knows that at 28°C and a pressure of 1 atm, the volume of the gas was 6.0 L. He measures the temperature and pressure and finds that the temperature is 39°C and the pressure has remained at 1 atm. What would be the best for Jeff to use to find the volume of the gas?

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Answers (2)
  1. 13 February, 13:53
    0
    Charles Law
  2. 13 February, 13:59
    0
    by using ideal gas law

    Explanation:

    ideal gas law:

    PV=nRT

    where:

    P is pressure measured in Pascal (pa)

    V is volume measured in letters (L)

    n is number of moles

    R is ideal gas constant

    T is temperature measured in Kelvin (K)

    by applying the given:

    P (initial) V (initial) = nRT (initial)

    P (final) V (final) = nRT (final)

    nR is constant in both equations since same gas

    then,

    P (initial) V (initial) / T (initial) = P (final) V (final) / T (final)

    then by crossing multiply both equations

    V (final) = { (P (initial) V (initial) / T (initial)) T (final) } / P (final)

    P (initial) = P (final) = 1 atm = 101325 pa

    V (initial) = 6 L

    T (initial) = 28°c = 28+273 kelvin

    T (final) = 39°c = 39+273 kelvin

    by substitution

    V (final) = 6.21926 L
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