A rock sample contains 7.5 g of Californium-249 and 52.5 g of the daughter isotope. If the half life of Californium-249 is 360 days, how old is the rock?

Answers

Answer 1

Answer:

Rock is [tex]1080[/tex] days old

Explanation:

Total Mass = [tex]52.5[/tex] grams [tex]+ 7.5[/tex] grams [tex]= 60[/tex] grams

As we know  

[tex]\frac{7.5}{60} = \frac{60* (\frac{1}{2} ) (\frac{t}{360d})}{60}[/tex]

[tex]0.125 = 0.5* (\frac{t}{360d})[/tex]  

Taking log on both sides we get –  

Log [tex](0.125) = \frac{t}{360}[/tex] log [tex](0.5)[/tex]  

[tex]\frac{-0.903}{-0.301 } = \frac{t}{360}[/tex]

[tex]t = 3 * 360[/tex]

[tex]t = 1080[/tex]

[tex]1080[/tex] days


Related Questions

Darren picked 25 flowers that he plans to divide evenly into 3 vases. He will use as many flowers per vase as he can, but may have flowers left. Its math btw

Answers

Answer:

he'll be able to put the flowers into 8 vases and have 1 flower left over

Explanation:

25 divided by 3 = 8.33333333333 (8)

3 x 8 = 24

25 - 24 = 1

He would use 8 flowers in each vase.
25➗3 : 8.3333
3 x 8 : 24
25 - 24 : 1
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