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Complete each nuclear equation. (Give all nuclei in the form A X Z .) a. 90 Y 39 → 90 Zr 40 + b. → 135 Pr 59 + 0 e +1 c. 210 Bi 83 → + 4 He 2

Question

Complete each nuclear equation. (Give all nuclei in the form A X Z .)

a. 90 Y 39 → 90 Zr 40 + ...

b. ... → 135 Pr 59 + 0 e +1

c. 210 Bi 83 → ... + 4 He 2

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Solution

a. The nuclear equation is balanced when the sum of the mass numbers (A) and the sum of the atomic numbers (Z) on both sides of the equation are equal. In this case, the atomic number increases by 1 (from 39 to 40) during the decay process, which indicates that a beta particle (0 e -1) is emitted. So, the balanced equation is:

90 Y 39 → 90 Zr 40 + 0 e -1

b. In this case, we know that a beta particle (0 e +1) is emitted, which means the atomic number decreases by 1 (from 59 to 58). The mass number remains the same (135). So, the parent nucleus must be 135 Ce 58. The balanced equation is:

135 Ce 58 → 135 Pr 59 + 0 e +1

c. In this case, an alpha particle (4 He 2) is emitted. This means the atomic number decreases by 2 (from 83 to 81) and the mass number decreases by 4 (from 210 to 206). So, the daughter nucleus must be 206 Tl 81. The balanced equation is:

210 Bi 83 → 206 Tl 81 + 4 He 2

This problem has been solved

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