COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 27, Problem 33QAP
To determine
The number of nuclei that are present in a
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Problem A
You have a 3 mol pure sample of an unknown material. After 3.7 h, you discover that 20% has decayed. Determine the half-life, decay
constant, mean life, & initial decay rate. Also determine what the decay rate is at 3.7 h.
T1/2 =
λ= 3.28e-04 x h¹
T=
R₂ =
R=
Problem B
decays/h
decays/h
The decay rate of a radioactive source decreases by 32.8% in 92 h. Determine the half-life, decay constant, & mean life of the source.
T1/2 =
λ =
T=
h-1
Natural uranium ore contains about 0.720% of the fissile uranium - 235 isotope. Suppose a sample of uranium ore contains 2.50 x 1028 uranium nuclei. Determine the number of uranium - 235 nuclei in the sample.
On March 11, 2011, a magnitude 9.0 earthquake struck northwest Japan. The tsunami that followed left thousands of people dead and triggered a meltdown at the Fukushima Daiichi Nuclear Power Plant, releasing radioactive isotopes 137Cs and 134Cs, among others, into the atmosphere and into the Pacific Ocean. By December 2015 (about 1,730 days after the meltdown), contaminated seawater reached the US west coast with maximum Cs activities (including both isotopes) per cubic meter of seawater reaching 11.0 Bq/m3, more than 500 times below the US government safety limits for drinking water. The half-lives of 137Cs and 134Cs are 1.10 ✕ 104 days and 734 days, respectively. Calculate the number of 137Cs and 134Cs nuclei in the 1.00 m3 seawater sample, assuming 137Cs and 134Cs were originally released in equal amounts.
(a)137Cs
Answer:_________ nuclei
(b) 134Cs
Answer:__________ nuclei
Chapter 27 Solutions
COLLEGE PHYSICS
Ch. 27 - Prob. 1QAPCh. 27 - Prob. 2QAPCh. 27 - Prob. 3QAPCh. 27 - Prob. 4QAPCh. 27 - Prob. 5QAPCh. 27 - Prob. 6QAPCh. 27 - Prob. 7QAPCh. 27 - Prob. 8QAPCh. 27 - Prob. 9QAPCh. 27 - Prob. 10QAP
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