college algebra

One isotope of holmium, 162Ho, has a half life of 22 minutes. The half-life of a second isotope, 164Ho, is 37 minutes. Starting with a sample containing equal amounts, find the ratio of the amounts of 162Ho to 164Ho after one hour. Rounded to three decimal

  1. 👍
  2. 👎
  3. 👁
  1. after t minutes, the two isotopes have remaining amounts of

    2^(-t/22) and 2^(-t/37)

    So, after one hour (60 minutes), the ratio of 162Ho/164Ho is just

    2^(-60/22) / 2^(-60/37)
    = 2^(-60/22 + 60/37)
    = 2^(-450/407)
    = 2^-1.10565
    = 0.465

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chemistry

    Which radioactive sample would contain the greatest remaining mass of the radioactive isotope after 10 years? A. 2.0 grams of 198 Au B. 2.0 grams of 42 K C. 4.0 grams of 32 P D. 4.0 grams of 60 Co By the way the numbers next to

  2. Chemistry

    Gallium65, a radioactive isotope of gallium, decays by first order-kinetics. The half-life of this isotope is 15.2 min. How long would it take for 7/8 of a sample of this isotope to decay? 15.2 min 30.4 min 45.6 min 48.0 min I'm

  3. Chemistry

    As a sample of the radioactive isotope 131 I decays, its half-life a)decreases b)increases c)remains the same

  4. chemistry

    If there are 80 milligrams of a radioactive element decays to 10 milligrams in 30 minutes then what is the elements half life in minutes? Ok i narrowed it down to either 10 or 30...but im rly confused so if u could help it wuld be

  1. math

    3. Write the exponential growth function to model the following situation: A population of 422, 000 increases by 12% each year. 4. At t = 0 there are 50 grams of a radioactive isotope. The isotope has a half-life of 16 minutes.

  2. math

    Complete the table for the radioactive isotope. (Round your answer to two decimal places.) Isotope: 239Pu Half-life (years): 24,100 Initial Quantity: g Amount After 1000 Years: 0.6

  3. Math

    An isotope of sodium has a half-life of 20 hours. Suppose an initial sample of this isotope has mass 10 grams. The amount of the isotope (in grams) remaining after t hours is given by: (Note: We're assuming exponential decay here.

  4. chem

    Can someone please help me with the following questions? 1:Suppose you were given an ancient wooden box. If you analyze the box for carbon-14 activity and find that it is 50% of that of a new piece of wood of the same size, how

  1. Biology

    Explain how the half-life of a radioactive isotope affects the usefulness of that isotpe in dating specific types of rock?

  2. astronomy

    The isotope potassium-40 (40K) decays into the isotope argon-40 (40Ar) with a half-life of 1.25 billion years. Suppose we find a rock in which seven-eighths of the potassium-40 has decayed to become argon-40, and only one-eighth

  3. Math help

    Gold (Au) has a synthetic isotope that is relatively unstable. After 25.5 minutes, a 128-gram sample has decayed to 2 g. What is the half-life of this isotope? 8.5 minutes 2.25 minutes 1.5 minutes 4.25 minutes

  4. chemistry

    What is the half-life of an isotope if it decays to 12.5% of its radioactivity in 18 minutes?

You can view more similar questions or ask a new question.