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math

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A 10 kg quantity of a radioactive isotope decays to 3 kg after 17 years. Find the decay constant of the isotope.

  • math -

    In en.wikipedia type: "Half-life"
    and read text, and retype formulas.

    So:

    N(t)=N0*e^(-lambda*t)

    N(t)=N(17)=3

    N0=10

    t=17

    3=10*e^(-lambda*17) Divide with 10

    3/10=e^(-lambda*17)

    e^(-lambda*17)=3/10

    -lambda*17=ln(3/10)Divide with 17

    -lamba=ln(0.3)/17

    lamda=-ln(0.3)/17

    lamda=-(-1,203972804326)/17

    lamda=1,203972804326/17

    lamda=0,07082193

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