Part c The half-life of thorium-229 is 7340 years (a) Compute the time required for a...
The half-life of 235U, an alpha emitter, is 7.1×108 yr. Part A Calculate the number of alpha particles emitted by 3.4 mg of this nuclide in 3 minutes. Express your answer using two significant figures. TIME GIVEN IS 3 MINUTES
The half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. (b) Calculate the decay constant for this isotope. (c) Convert 0.350 μCi to the SI unit the becquerel. (d) Find the number of 131I nuclei necessary to produce a sample with an activity of 0.350 μCi. (e) Suppose the activity of a certain 131I sample is 6.10 mCi at a given time. Find the number of half-lives the sample goes through in 40.2 d and the activity...
The half-life of a reaction, t1/2, is the time required for one-half of a reactant to be consumed. It is the time during which the amount of reactant or its concentration decreases to one-half of its initial value. Determine the half-life for the reaction in Part B using the integrated rate law, given that the initial concentration is 1.85 mol⋅L−1 and the rate constant is 0.0016 mol⋅L−1⋅s−1 . Express your answer to two significant figures and include the appropriate units.
The half-life of 52Mn is 5.59 days. (a) Convert the half-life to units of seconds. (b) What is the decay constant (in s−1) for this isotope? (c) Suppose a sample of 52Mn has an activity of 0.510 µCi. What is this activity expressed in the SI unit of becquerels (Bq)? (d) How many 52Mn nuclei are needed in the sample in part (c) to have the activity of 0.510 µCi? E. Now suppose that a new sample of 52Mn has...
The half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. s (b) Calculate the decay constant for this isotope. s−1 (c) Convert 0.650 μCi to the SI unit the becquerel. Bq (d) Find the number of 131I nuclei necessary to produce a sample with an activity of 0.650 μCi. 131I nuclei (e) Suppose the activity of a certain 131I sample is 7.10 mCi at a given time. Find the number of half-lives the sample goes through in...
The radioactive isotope thorium 234 has a half-life of approximately 578 hours. (a) If a sample has a mass of 67 milligrams, find an expression for the mass after t hours. Q(t) = 67e-0.0011997 (b) How much will remain after 85 hours? (Round your answer to one decimal place.) 60.5 mg (c) When will the initial mass decay to 20 milligrams? (Round your answer to one decimal place.) 1008.3 x hr
Radioactive Decay - Half-life and Activity 1 Radioactive decay - Half-life Time 0 1000 21 31 750 N 1.000.000 500,000 250,000 125,000 62,500 31.250 15.625 7813 3.506 1.953 977 51 6 500 7 BI . 101 250 125 0 tie 21.234.41516171819, 1012 Time in multiples of A radioactive sample's half-life is 30.2 years. 1 year = 365 days, 1 day = 24 hours, 1 hour - 60 minutes, 1 minute = 60 seconds (a) Find its decay constant in year...
2. Half-life is the time required for half of an amount of a particular compound to degrade (see table below). The half-life of DDT in the soil is from 2 to 15 years, and the half-life of DDT in an aquatic environment is 150 years. 1 half-life 50% degraded 2 half-lives 75% degraded 3 half-lives 88% degraded 4 half-lives 94% degraded 5 half-lives 97% degraded a. How many years have passed after five DDT half-lives in an aquatic environment? b....
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
The half-life of cesium-137 is 30 years. Suppose we have a 18-gram sample. (a) Find the yearly growth factor a. (Round your answer to five decimal places.) a = (b) Find an exponential model m(t) = Cat for the mass remaining after t years. m(t) = (c) How much of the sample will remain after 85 years? (Round your answer to two decimal places.) g (d) After how long will only 3 g of the sample remain? (Round your answer...