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What is missing in the nuclear reaction shown below? 10 5 B + 4 2 He- 13 7 N+

What is missing in the nuclear reaction shown below? 10 5 B + 4 2 He- 13 7 N+

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Question:** What is missing in the nuclear reaction shown below? \[ \begin{array}{c} ^{10}_{5}\textrm{B} + \, ^{4}_{2}\textrm{He} \rightarrow \, ^{13}_{7}\textrm{N} + \, \underline{\hspace{0.5cm}} \end{array} \] **Options:** - ○ an alpha particle - ○ a neutron - ○ a positron - ○ gamma radiation - ○ a beta particle **Explanation:** In the given nuclear reaction, boron-10 \((^{10}_{5}\textrm{B})\) and helium-4 \((^{4}_{2}\textrm{He})\) combine to form nitrogen-13 \((^{13}_{7}\textrm{N})\). The missing particle is required to balance the nuclear equation, ensuring that the sum of mass numbers and atomic numbers on both sides are equal. - **Analyzing Mass Numbers:** \[ 10 + 4 = 14 \] \[ 13 + x = 14 \implies x = 1 \] - **Analyzing Atomic Numbers:** \[ 5 + 2 = 7 \] \[ 7 + y = 7 \implies y = 0 \] The missing component that fits these criteria is **a neutron** \((^{1}_{0}\textrm{n})\).
Transcribed Image Text:**Question:** What is missing in the nuclear reaction shown below? \[ \begin{array}{c} ^{10}_{5}\textrm{B} + \, ^{4}_{2}\textrm{He} \rightarrow \, ^{13}_{7}\textrm{N} + \, \underline{\hspace{0.5cm}} \end{array} \] **Options:** - ○ an alpha particle - ○ a neutron - ○ a positron - ○ gamma radiation - ○ a beta particle **Explanation:** In the given nuclear reaction, boron-10 \((^{10}_{5}\textrm{B})\) and helium-4 \((^{4}_{2}\textrm{He})\) combine to form nitrogen-13 \((^{13}_{7}\textrm{N})\). The missing particle is required to balance the nuclear equation, ensuring that the sum of mass numbers and atomic numbers on both sides are equal. - **Analyzing Mass Numbers:** \[ 10 + 4 = 14 \] \[ 13 + x = 14 \implies x = 1 \] - **Analyzing Atomic Numbers:** \[ 5 + 2 = 7 \] \[ 7 + y = 7 \implies y = 0 \] The missing component that fits these criteria is **a neutron** \((^{1}_{0}\textrm{n})\).
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