Suppose that you want to find out how much gasoline is in an underground storage tank. you pour in 1 gallon of gasoline that contains some radioactive material with a long half-life that gives off 5500 counts per minute. the next day, you remove a gallon from the underground tank and measure its radioactivity to be 10 counts per minute.
1. how much gasoline is in the tank?
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Ответ:
549 gallons
Explanation:
1 gallon of radioactive material was added to unknown volume of gasoline which we will represent as V in gallons.
Initially the 1 gallon gives a 5500 counts per minutes (cpm)
After adding to an underground gasoline tank, the total volume becomes
(V + 1) gallons
1 gallon was withdrawn from the underground and gave 10 cpm
using simple proportion and assuming the gasoline has mixed together
1 gallon gave 10 cpm
10 (V + 1) gallons should give 5500cpm
10 (V+1) = 5500cpm
divide both side by 10
V+1 = 5500 /10 = 550
V = 550 -1 = 549 gallons
Ответ: