Download Nuclear reaction Assignment

ASSIGNMENT
NUCLEAR REACTION
1. The symbol 28
14𝑆𝑖 represents an atom of the metal silicon.
i. Determine the number of neutrons found in ONE atom of silicon.
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(1 mark)
ii. Using the same standard notation, state a possible isotope of 28
14𝑆𝑖 .
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(1 mark)
b. A radioactive element X undergoes a decay process which results in the formation of
a new element Y, as shown in the following equation.
𝑝
222
4
76𝑋 → 𝑞𝑌 + 2𝐻𝑒
i.
State the type of decay process that occurred.
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(1 mark)
ii. Determine the values of p and q.
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(2 marks)
iii. If element Y then undergoes a beta decay and forms an element Z, write the
reaction equation.
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(2 marks)
c. Uranium isotope U-238 undergoes fission when struck by a neutron. Barium-139 and
krypton-97 nuclei are emitted along with three neutrons as shown in the following
equation.
238
79
1
1
139
𝒑𝐵𝑎 + 37𝐾𝑟 + 3 0𝑛
92𝑈 + 0𝑛 →
Uranium-238
398.350 × 10−27 𝑘𝑔
Barium-139
232.560 × 10−27 𝑘𝑔
Krypton-97
152.620 × 10−27 𝑘𝑔
Neutron
1.670 × 10−27 𝑘𝑔
c
3.0 × 108 𝑚𝑠 −1
i. State the value of p.
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(1 mark)
ii. State the meaning of ‘c’ in Einstein’s equation ∆𝐸 = ∆𝑚𝑐 2 .
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(1 mark)
iii. Calculate the total mass of the elements formed after the reaction.
(2 marks)
iv. Calculate the energy released in the reaction.
(4 marks)
Total 15 marks