g 1.000 atm of oxygen gas, placed in a container having a pinhole opening in its side, leaks from the container 2.14 times faster than does

Question

g 1.000 atm of oxygen gas, placed in a container having a pinhole opening in its side, leaks from the container 2.14 times faster than does 1.000 atm of an unknown gas placed in this same apparatus. Which of these species could be the unknown gas

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Delwyn 3 years 2021-07-16T19:37:18+00:00 1 Answers 880 views 0

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  1. Nem
    0
    2021-07-16T19:38:39+00:00
    Reply

    The question is incomplete, the complete question is;

    1.000 atm of Oxygen gas, placed in a container having apinhole opening in its side. leaks from the container 2.14 timesfaster thatn 1.000 atm of an unknown gas placed in this sameapparatus. Which of the following species could be theunknown gas?

    A. CL2

    B. SF6

    C. Kr

    D. UF6

    E. Xe

    Answer:

    SF6

    Explanation:

    From Graham’s law;

    Let the rate of diffusion of oxygen be R1

    Let the rate of diffusion of unknown base be R2

    Let the molar mass of oxygen by M1

    Let the molar mass of unknown gas be M2

    Hence;

    R1/R2 = √M2/M1

    So;

    2.14/1 = √M2/32

    (2.14/1)^2 = M/32

    M= (2.14/1)^2 × 32

    M= 146.6

    This is the molar mass of SF6 hence the answer above.

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