A bone is found to have 45% of the original amount of carbon 14. If the half life of carbon is 5600 years, how old is the bone.

Would I use the formula N=No e^kt?

  1. 👍
  2. 👎
  3. 👁
  1. You could use that formula, if you know how to relate k to half life. In the formula you wrote, there would have to be a negative exponent (assuming k is positive).

    Another way that might be easier to remember is to solve:

    0.45 = (0.5)^(t/T)
    where T is the half life.

    Take logs of both sides (to any base)

    t/T = log(0.45)/log(0.5) = 1.15

    T = 5600/1.15 = 4870 years

    1. 👍
    2. 👎
  2. yes, you could

    You will need
    .5 = 1 e^(5600k)
    5600k = ln .5
    k = ln .5 / 5600

    so .45 = e^((ln.5/5600)t
    (ln.5/5600)t = ln.45
    t = 5600(ln.45)/ln.5
    = 6451.2

    or the other formula
    N = (.5)^(t/5600)

    then .45 = .5^(t/5600)
    t/5600 = ln.45/ln.5
    t = (5600ln.45/ln.5) = same calculation

    1. 👍
    2. 👎
  3. Thank You

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    Carbon-14 is a radioactive substance produced in the Earth's atmosphere and then absorbed by plants and animals on the surface of the earth. It has a half-life (the time it takes for half the amount of a sample to decay) of

  2. science

    Carbon-14 has a half-life of approximately 5,730 years. How many half-lives have occurred in a sample that contains 50 percent of the original amount of the parent isotope?

  3. Science

    Radioactive carbon-14 dating has determined that a fossil is 5.7 x 10 to the third power years old. What is the total amount of the original Carbon-14 still present in the fossil?

  4. Anatomy

    Jenny is comfortable learning visually. What is the best way for her to study bone markings for her lab quiz? All the above learning modalities can be implemented Listening actively to lectures on the bone markings Feeling the

  1. Chemistry

    The cloth shroud from around a mummy is found to have a carbon-14 activity of 8.1 disintegrations per minute per gram of carbon as compared with living organisms that undergo 15.2 disintegrations per minute per gram of carbon.

  2. chemistry

    An unknown compound contains only carbon, hydrogen, and oxygen (CxHxOx). Combustion of 3.50G of this compound produced 5.13G of carbon dioxide and 2.10G of water A.How many moles of carbon, , were in the original sample? b. How

  3. URGENT! Due soon and I used 8 of 10 attempts

    Archaeologists can determine the age of artifacts made of wood or bone by measuring the amount of the radioactive isotope 14C present in the object. The amount of isotope decreases in a first-order process. If 14.5% of the

  4. Animal Skeletal and Muscular Systems

    Which of the following is an example of voluntary muscle activity? a. scratching b. movement of food down the intestine c. heart contractions d. movement of urine into the bladder Which of the following muscles are used when

  1. algebra

    Use the fact that after 5715 years a given amount of carbon 14 will have decayed to half the original amount to find the exponential decay model for carbon 14. In 1947, earthenware jars containing what was known as the Dead Sea

  2. Alg2

    An anthropologist finds there is so little remaining Carbon-14 in a prehistoric bone that instruments cannot measure it. This means that there is less than 0.5% of the amount of Carbon-14 the bones would have contained when the

  3. chemistry

    How do carbon-12 and carbon-13 differ? (select all that apply) they have different amount of electrons they have different amount of neutrons they have different atomic charges they have different mass numbers I know one of them

  4. Physics

    Two dogs are pulling on opposite ends of a bone. One dog pulls to the right with a force of 50N while the other pulls to the left with a force of 40N. Are the forces balanced or unbalanced? How do you know? What is the net force

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