Given the emissions and half-lives for the Th-232 series, determine the missing values in the picture. 1.1 If the half life of B as it decays to Ra-224 is 1.91 years, what is the mass remaining of the radioactive material after 1.91 years?  1.2 Calculate the half-life of 1.20 mg of a radioactive species that decays to 0.30 mg in 40 min.  1.3 The half-life of Technetium is 6.00 hrs. What mass of Tc-99 have already DECAYED from a 10.0 gram sample after 24.0 hours?

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter9: Nuclear Chemistry
Section: Chapter Questions
Problem 9.31P
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1. Given the emissions and half-lives for the Th-232 series, determine the missing values in the picture.

1.1 If the half life of B as it decays to Ra-224 is 1.91 years, what is the mass remaining of the radioactive material after 1.91 years? 

1.2 Calculate the half-life of 1.20 mg of a radioactive species that decays to 0.30 mg in 40 min. 

1.3 The half-life of Technetium is 6.00 hrs. What mass of Tc-99 have already DECAYED from a 10.0 gram sample after 24.0 hours?

 

Emissions and Half-Lives of Th-232 Series
First Reaction: 232Tha+238Ra t₁/2 = 1.41 x 10¹⁰ years
No = 1 g
2327
228 Ra
88
B
1.41x 10¹⁰ y
228 Ac
90
6.7 y
→ A
NRa-228 224 Ra
α
6.13 h
• B
1.91 y
α
Transcribed Image Text:Emissions and Half-Lives of Th-232 Series First Reaction: 232Tha+238Ra t₁/2 = 1.41 x 10¹⁰ years No = 1 g 2327 228 Ra 88 B 1.41x 10¹⁰ y 228 Ac 90 6.7 y → A NRa-228 224 Ra α 6.13 h • B 1.91 y α
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