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Compute the volume of helium at 1.0 atm and 298 K that will be collected if 2.5 g of 222Rn is stored in a container able to expand to maintain a constant pressure for 15 days. Assume that 222Rn decays to 218Po with a half-life of 3.824 days.

  • Chemistry -

    k = 0.693/t1/2

    ln(No/N) = kt
    No = 2.5 g
    N = solve for this.
    k from above.
    t = 15 days

    Solve for N and subtract from 2.5g to find g Rn decayed. Convert to g He by
    g Rn x (atomic mass He/atomic mass Rn) = ?
    Then use PV = nRT to solve for V in liters.

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