Problem 1PE
Calculating the Age of Objects Using Radioactive Decay

A rock contains 0.257 mg of lead-206 for every milligram of uranium-238. The half-life for the decay of uranium-238 to lead-206 is 4.5 x 109 yr. How old is the rock?

Cesium-137. which has a half-life of 30.2 yr. is a component of the radioactive waste from nuclear power plants. If the activity due to cesium-137 in a sample of radioactive waste has decreased to 35.2% of its initial value, how old is the sample?

(a) 1.04 yr. (b) 15.4 yr. (c) 31.5 yr. (d) 45.5 yr. (e) 156 yr

Step-by-Step Solution:
Step 1 of 3
Conversion Between Different Measurement Systems If multiplying a number by one of these conversion factors you are not changing the value of the number in anyway just changing the unit. Use dimensional analysis to convert (let the units do the work) 63.5 in to ft (63.5 in / 1) x (1 ft / 12 in) (On paper the in would be diagonal from one another therefor cancelling each other out leaving only ft behind. Note that 1 ft is an exact number just like 12 in therefor they do not have sig fig like 63.5 so only 3 sig fig.) = 5.29 ft 10.070 qt -> L (10.070 qt / 1) x (.9463 L / 1 qt) = (10.070 x .9463 L) = 9.529 L Metric conversions used to express very large or small numbers. Length/Mass Conversion Kilometer

This full solution covers the following key subjects: . This expansive textbook survival guide covers 305 chapters, and 6352 solutions. Chemistry: The Central Science was written by and is associated to the ISBN: 9780321910417. This textbook survival guide was created for the textbook: Chemistry: The Central Science, edition: 13. The full step-by-step solution to problem: 1PE from chapter: 21.6SE was answered by , our top Chemistry solution expert on 09/04/17, 09:30PM. The answer to “Calculating the Age of Objects Using Radioactive DecayA rock contains 0.257 mg of lead-206 for every milligram of uranium-238. The half-life for the decay of uranium-238 to lead-206 is 4.5 x 109 yr. How old is the rock?Cesium-137. which has a half-life of 30.2 yr. is a component of the radioactive waste from nuclear power plants. If the activity due to cesium-137 in a sample of radioactive waste has decreased to 35.2% of its initial value, how old is the sample?(a) 1.04 yr. (b) 15.4 yr. (c) 31.5 yr. (d) 45.5 yr. (e) 156 yr” is broken down into a number of easy to follow steps, and 95 words. Since the solution to 1PE from 21.6SE chapter was answered, more than 294 students have viewed the full step-by-step answer.