The radioisotope Tc is an isotope that is sometimes given to patients because it emits gamma rays and has a relatively short half-life of 6.05 h. Because it emits gamma rays, Tc 99, can be used as a tracer when performing imaging on a specific part of the human body. (a) Find the decay constant ofTc (in h-). h- (b) Find the number of Tc nuclei needed to provide an activity of 2.61 µCi. nuclei
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- (a) A wooden artifact is found in an ancient tomb. Its carbon-14 (14, C) activity is measured to be 55.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact (in years). (b) What If? What would be the age of the sample (in years) if the 14C activity were only 32.3% of the fresh sample?(a) A sample of a radioactive isotope contains N nuclei at time t. At time (t + At), it contains (N-AN) nuclei of the isotope. For the period At, state, in terms of N, AN and At, (i) the mean activity of the sample, activity = (ii) the probability of decay of a nucleus. probability = [1] [1] (b) A cobalt-60 source having a half-life of 5.27 years is calibrated and found to have an activity of 3.50 x 105 Bq. The uncertainty in the calibration is +2%. Calculate the length of time, in days, after the calibration has been made, for the stated activity of 3.50 x 105 Bq to have a maximum possible error of 10%.An unstable isotope of cobalt, 60Co, has one more neutron in its nucleus than the stable 59Co and is a beta emitter with a half-life of 5.30 years. This isotope is widely used in medicine. A certain radiation source in a hospital contains 4.20×10−2g of 60Co A) What is the decay constant for that isotope? Express your answer with the appropriate units. B) How many atoms are in the source? C) How many decays occur per second? Express your answer as a number of decays per second. D) What is the activity of the source, in curies? Express your answer in curies.
- A sample of radioactive isotope is found to have an activity of 110 Bq imediately after it is pulled from the reactor that formed the isotope. Its activity 1 h, 20 min later is measured to be 89 Bq. Find the decay constant of the sample. Answer in units of h-. Find the half-life of the sample. Answer in units of h. How many radioactive nuclei were there in the sample initially?The activity of C-14 can be used to determine the age of some archaeological discoveries. Suppose a sample of ancient wood which contains C-14 has an activity of 7.50 x 10^-4 Ci. The half life of C-14 is 5730 years. What will be the activity of this sample after 250 years?Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to incandescence for long periods of time. Natural thorium is almost 100% 232Th, with a half-life of 1.405 x 10¹0 y. If an average lantern mantle contains 270 mg of thorium, what is its activity (in Bq)? XBq t
- Question 4. A syuthetic radioisotope is freshly prepared in a lab that has an ac- tivity of 10.0 mCi. If the activity of the radioisotope changes to 8.00 mCi, in 5.00 h, (a) What is the decay constant and half-life of the radioisotope in seconds? (b) How many atoms of the radioisotope were contained in the freshly prepared sam- ple? (e) What is the sample's activity in mCi 40.0 h after it is prepared?Thorium 22890Th produces a daughter nucleus that is radioactive. The daughter, in turn, produces its own radioactive daughter, and so on. This process continues until bismuth 21883Bi is reached. What are (a) the total number Nα of α particles and (b) the total number Nβ of β- particles that are generated in this series of radioactive decays?I need the answer as soon as possible