Question

32P is a radioactive isotope with a half-life of 14.3 days. If you currently have 30.9 g of 32P, how much 32P was present 4.00 days ago?

in grams

Answer #1

K = 0.693/t1/2

t1/2 = 14.3days

k = 0.693/14.3 = 0.0485days^-1

t = 4days

[A0] = 30.9g

k = 2.303/t log[A0]/[A]

0.0485 = 2.303/4 log30.9/[A]

log30.9/[A] = 0.0485*4/2.303

log30.9/[A] = 0.084237

30.9/[A] = 10^0.084237

30.9/[A] = 1.214

[A] = 30.9/1.214

[A] = 25.45g >>>>answer

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Please show detailed steps

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left

Complete the table for the radioactive isotope. (Round your
answers to two decimal places.)
Isotope
Half-life
(in years)
Initial
quantity
Amount after
1000 years
Amount after
10,000 years
239Pu
24,100
?grams
grams
?0.4 grams

1. Given that a freshly prepared radioactive isotope has a
half-life of 10 days, the percentage of it remaining after 30 days
is
A
30.0 %.
B
10.0 %.
C
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50%.
C
75%.
D
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