The fraction of a radioactive isotope remaining at time tis  (1/2)t/t1/2, where t1/2is the half-life. If the half-life of carbon-14 is5730 yr, what fraction of carbon-14 in a piece of charcoal re-mains after (a) 10.0 yr; (b) 10.0x10^3yr; (c) 10.0x10^4yr? (d) Why is radiocarbon dating more reliable for the fraction re-maining in part (b) than that in part (a) or in part (c)?

Q: It takes 4 h 39 min for a 2.00-mg sample of radium-230 to decay to 0.25 mg. What is the half-life of…

A: Half life of first order kinetic reaction is given by:

Q: In a treatment that decreases pain and reduces inflammation of the lining of the knee joint, a…

A: Initial count (No) = 1100 per second Final count (Nt) = 1.14 per second Time (t) = 24 hours

Q: Nitrogen-13 is used in tracers injected into the bloodstream for positron emission tomography (PET).…

A:

Q: An old piece of wood has a carbon-14 content of 0.0156 times that 14 is the age of the old wood if…

A: We will use first order kinetics formula

Q: Fluorine-18, which has a physical half-life of 110 min, is used in PET scans. if 1.00g of…

A: The fluorine-18 sample was shipped at 5:00 PM and arrives the laboratory at 9:30 AM in the next…

Q: 31. A Yadio chemist prepames a cobalt sample 0.100 moks trom AS pert contrining of 58CO· As per…

A: Answer :-  Half-life of 58Co =  70.87 days…

Q: Radioactive tungsten-178 decays with a half-life of 21.6 days. (a) What is the value of k in s-1?…

A: a) we have  half life of W - 178 = 21.6 days = 21.6 * 24 hours = 518.4 hours = 518.4 * 3600 seconds…

Q: You take a course in archaeology that includes field work. An ancient wooden totem pole is excavated…

A: Given: The beta decay rate is measured at = 690 decays/min. sample from the totem pole contains =…

Q: If 2.8x10-10% of the atoms of a radioactive isotope disintegrate in 1.0 yr, what is the decay…

A: As the radioactive decay is first order reaction, the expression is given as, Here,  N0 indicates…

Q: A 1.00-gram sample cantains two radioactive isotopes A and B. The half-life of isotope A is 2 hrs.…

A:

Q: How long will it take for 2.35mg of Pu-236 with half life of 2.86 years to decay to 0.100 mg? О а.…

A: Given: Remaining mass = 0.100 mg Initial mass = 2.35 mg Firstly, the ratio of the remaining mass to…

Q: Which of the following describe(s) the following reaction? Choose all that apply. 139 235TT 920 + on…

A: The reaction given is,

Q: 3. The half-life of 3P is t1/2 = 14.30 days. Suppose that mass of P is 32.00 amu. (a) Calculate the…

A: Radioactive decay is an example of first order reaction. In radioactive decay, the loss of energy…

Q: How many hours until the isotope decays to 1.56 x 10-3 mg?

A:

Q: If 29.5% of the original amount of 14C is present in a wooden tool at the time of analysis, what is…

A: Since the carbon decay is a first order kinetics reaction Hence for the first order reaction we can…

Q: If a mineral contains 1.56 % of its parent isotope, how many half-lives have gone?

A: Half Life Real analysis by the simple Concentration Analysis is mentioned in step-2  1st order…

Q: phosphorus-32 is a radioactive isotope with half-life of 14days. a biochemist has a vial containing…

A: The radioactive isotopes follows the first order reactions, which is dependent upon the…

Q: Nitrogen-13 is used in tracers injected into the bloodstream for positron emission tomography (PET).…

A: The half-life (t1/2) of Nitrogen-13 is provided as 10 minutes.

Q: The half-life of 19TC, a ߯ emitter, is 15.8 s. 43 (a) How many atoms of 13Tc are present in a…

A:

Q: A certain artifact is tested by carbon dating and found to contain 73% of its original carbon-14. As…

A:

Q: The isotope ²¹²₈₃Bi has a half-life of 1.01 yr. What mass (inmg) of a 2.00-mg sample will remain…

A: Given, half life of  ²¹²₈₃Bi ,  t1/2 = 1.01 yr = 365 x 24 x 1.01 h = 8847.6 h            initial…

Q: How many radioactive disintegrations occur per minute ina 0.0010-g sample of 209Po that has been…

A: We know, k=ln2t1/2k - decay constant and t1/2 is half life

Q: The half-life of Cs-131 is 30.2 years. How much time would it take for a sample to drop to 1.00% of…

A: * cs=3Half life=t12=30.2 yearsfrom this half life we can calculate , rate constant for this…

Q: The half-life of 87Sr is 2.80 h. Calculate how much time it would take for an isolated quantity of…

A: Time required to decay for a radioactive molecule,t = 2.303Klogaa-x Where a is the initial amount…

Q: Plutonium-239 is the fissionable isotope produced in breeder reactors; it is also produced in…

A:

Q: The isotope 100 Tc has a half life of 16 sec, what is the radioactive decay constant, k?

A: Given: Half life of isotope 100Tc = 16sec As all radioactive process are first order reactions using…

Q: What is the half-life of radium-226 if 3.41x10 years are required for the activity of a sample of…

A:

Q: Phosphorus-32 is used in biochemical studies to follow the pathway taken by metabolites. Its…

A:

Q: 11047Ag → 0.je + 110 48Cd For the nuclear reaction Starting with 200. g of Ag-110 in a container,…

A: Since you have asked multiple question, as per our company guidelines we are supposed to answer the…

Q: 6. Iridium is a radioactive elementused fortherapy in nucle armedicine. It decaysto% or 24, of its…

A: Answer: Nuclear reactions are first order reactions, therefore decay reaction of Ir will also be a…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: N  = N0 e-λt  N0  = Initial mass of the sample N = Mass of the sample after a time 't' λ = decay…

Q: The ratio between the number of tritium (13T; radio active isotope of hydrogen) and the naturally…

A:

Q: how much of the 111In111In will be active 15 daysdays after the injection is given?

A: The rate of a reaction is determined as the change in concentration of the reactants or the products…

Q: Nickel-57 undergoes β+ decay (t1/2 = 36.0 hr) to form cobalt-57. How long will it take for 0.150 mol…

A: Radioactive decay is related to first order kinetics. For first order reaction: First order…

Q: A piece of a spear handle is found in an archaeological dig in Central America. It contains 35.2% as…

A:

Q: What is the half-life of an isotope that decays to 3.125% of its original activity in 63.6 h?…

A: We know that,  N(t) = N0(1/2)t/t1/2 No = initial amount  N(t) = amount of substance at time t t1/2 =…

Q: (c ) Iodine-131 has a half-life of 8 days. How many grams of I-131 in a 4.0 g sample remain after…

A: (c) The amount of the isotope that remains after given decay time is calculates by using below…

Q: 10.6. A sample of S, a ß- emitter, has an activity of 0.100 µCi. In 20.0 days, the activity o the…

A: Given,  Initial amount, [A]0 = 0.1 µCi  Final amount, [A] = 0.0853 µCi  Time, t = 20 days

Q: Co-60 is used extensively in radiotherapy as a source of y - rays. Its half-life is 5.27 years. a)…

A: Given, t1/2 = 5.27 years (a) The time required to decrease the activity by 35% of its original value…

Q: A substance X initially weights 56 grams. After 6 minutes, it was observed that its mass decreased…

A: Mass at starting (t=0) = 56 grams Mass after 6 min = (56-12) g                                = 44 g…

Q: Nitrogen-13 is used in tracers injected into the bloodstream for positron emission tomography (PET).…

A:

Q: If a tree dies and the trunk remains undisturbed for 1.015 x 104 years, what percentage of the…

A:

Q: A 10.00-g plant fossil from an archaeological site is found to have a 14C activity of 3094…

A:

Q: Some watch dials are coated with a phosphor, like ZnS,and a polymer in which some of the 1H atoms…

A: Given that : Half life of tritium = 12.3 yr Time period (t) = 50 yr Mass of tritium = 3.024 g

Q: You take a course in archacology that includes field work. An ancient wooden totem pole is excavated…

A: The above question can be solved using the formula  t1/2 = 0.693/k Where k is the rate constant k=…

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.