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17 April, 05:29

20 PTS! What is the volume of a gas at 90.0°C, if it occupies 1.41 L at 170°C?

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Answers (2)
  1. 17 April, 05:40
    0
    1.72 L

    Explanation:

    Initial Temperature of the gas T = 90°+273 = 363 K

    Initial Volume of the gas V1 = 1.41 L

    Final temperature of the gas T2 = 170°c + 273 = 443 K

    Final volume of the gas V2=?

    Using Charles law;

    V1/T1 = V2/T2

    V1T2 = V2T1

    V2 = V1T2/T1

    V2 = 1.41*443/363

    V2 = 1.72 L
  2. 17 April, 05:41
    0
    The new volume of the gas is 1.72L

    Explanation:

    V1 = 1.41L

    V2 = ?

    T1 = 90°C = (90+273.15) K = 363.15K

    T2 = 170°C = (170+273.15) K = 443.15K

    To find the new volume V2 of the gas, we apply Charles law which states that the volume of a fixed mass of gas is directly proportional to its temperature provided that pressure remains constant.

    V = KT, K = V1 / T1 = V2 / T2 = V3 / T3 ... = Vn / Tn

    V1 / T1 = V2 / T2

    Solve for V2,

    V2 = (V1 * T2) / T1

    V2 = (1.41 * 443.15) / 363.15

    V2 = 1.72L

    The new volume of the gas is 1.72L
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