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Engineering Chemistry S Datta

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NUCLEAR CHEMISTRY 67

29. A piece of wood was found to have 14 C/ 12 C ratio 0.7 times that in a living plant. Calculate the

approximate life period when the plant died. Given t 1/2

= 5760 years. [Ans. 2970 years]

30. A sample of uranium ore is found to contain 11.9 g of 238 U and 10.33. of 206 Pb. Calculate the age

of the rock. Given t 1/2

of uranium = 4.5 × 10 9 yrs.

[Ans. 4.5 × 10 9 years]

31. Half life of 222 Rn in 3.82 days. Calculate the weight of 1 curie of 222 Rn. [Ans. 6.5 × 10 –6 ]

32. A radioactive element disintegrates to 1/16th of its original mass in 160 days. What is its halflife

period?

[Ans. 40 days]

33. Calculate the energy released in MeV from the reaction:

10 2

11 1

5B + 1H ⎯⎯→ 5B + 1H

Given: Mass of 10 B = 10.01605 a.m.u.

Mass of 11 B = 11.01286 a.m.u.

Mass of 2H = 2.01472 a.m.u.

Mass of 1 H = 1.00812 a.m.u.

[Ans. 9.114 MeV]

34. A neutron breaks into a proton and an electron. Calculate the energy produced in MeV.

Given: Mass of neutron = 1.6747 × 10 –24 g.

Mass of proton = 1.6725 × 10 –24 g.

Mass of electron = 9 × 10 –28 g.

1 a.m.u. = 931 MeV. [Ans. 0.73 MeV]

35. Calculate the decay constant of 60 Co. Given the t 1/2

of cobalt = 5.3 years. [Ans. 0.13 yr –1 ]

36. Calculate the energy released in the nuclear fusion reaction:

2 3

4

1H + 1H ⎯⎯→ 2He

+ 0 1 n

Given: Mass of 1 2 H = 2.014 a.m.u.

Mass of 1 3 H = 3.016 a.m.u.

Mass of 2 4 He = 4.003 a.m.u.

Mass of 0 1 n = 1.009 a.m.u.

[Ans. 16.76 MeV]

37. An old wooden article shows 2.0 counts min –1 g –1 . A fresh sample of wood shows 15.2 counts

min –1 g –1 . Calculate the age of the wooden article.

Given: t 1/2

for 14 6C = 5,760 yrs. [Ans. 16,862 years]

38. Distinguish between nuclear fuel and a chemical fuel.

39. Write short note on components of a nuclear power reactor and their functions.

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