Questions: Which nuclear equation is an example of positron emission? Multiple Choice - 87^221 Fr → 85^217 At+ - 13^27 Al + 2^4 He → 15^30 O - 8^15 O → 7^15 N+ - 62^235 U + On → 52^13 Te + 40^7 Zr - 93^239 Np → 94^239 Pu

Which nuclear equation is an example of positron emission?

Multiple Choice

- 87^221 Fr → 85^217 At+
- 13^27 Al + 2^4 He → 15^30 O
- 8^15 O → 7^15 N+
- 62^235 U + On → 52^13 Te + 40^7 Zr
- 93^239 Np → 94^239 Pu
Transcript text: Which nuclear equation is an example of positron emission? Multiple Choice ${ }_{87}^{221} \mathrm{Fr} \rightarrow{ }_{85}^{217} \mathrm{At}+$ ${ }_{13}^{27} \mathrm{Al}+{ }_{2}^{4} \mathrm{He} \rightarrow{ }_{15}^{30} \mathrm{O}$ ${ }_{8}^{15} \mathrm{O} \rightarrow{ }_{7}^{15} \mathrm{~N}+$ ${ }_{62}^{235} \mathrm{U}+\mathrm{O}_{\mathrm{n}} \rightarrow{ }_{52}^{13} \mathrm{Te}+{ }_{40}^{7} \mathrm{Zr}$ ${ }_{93}^{239} \mathrm{~Np} \rightarrow{ }_{94}^{239} \mathrm{Pu}$
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Solution

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Solution Steps

Step 1: Identify Positron Emission

Positron emission is a type of beta decay where a proton in the nucleus is converted into a neutron, releasing a positron (\( \beta^+ \)) and a neutrino. The general form of the equation is: \[ {}_{Z}^{A}X \rightarrow {}_{Z-1}^{A}Y + \beta^+ \]

Step 2: Analyze Each Option
  • Option 1: \[ {}_{87}^{221} \mathrm{Fr} \rightarrow {}_{85}^{217} \mathrm{At} + \] This equation represents alpha decay, not positron emission, as the atomic number decreases by 2 and mass number by 4.

  • Option 2: \[ {}_{13}^{27} \mathrm{Al} + {}_{2}^{4} \mathrm{He} \rightarrow {}_{15}^{30} \mathrm{O} \] This is a nuclear reaction involving the fusion of aluminum and helium, not positron emission.

  • Option 3: \[ {}_{8}^{15} \mathrm{O} \rightarrow {}_{7}^{15} \mathrm{N} + \lambda^{0} \] This equation shows a decrease in atomic number by 1, which is characteristic of positron emission.

  • Option 4: \[ {}_{62}^{235} \mathrm{U} + \mathrm{O}_{\mathrm{n}} \rightarrow {}_{52}^{13} \mathrm{Te} + {}_{40}^{7} \mathrm{Zr} \lambda^{9} \] This is a complex nuclear reaction, not positron emission.

  • Option 5: \[ {}_{93}^{239} \mathrm{Np} \rightarrow {}_{94}^{239} \mathrm{Pu} \] This represents beta decay where a neutron is converted into a proton, not positron emission.

Step 3: Conclusion

The correct example of positron emission is: \[ {}_{8}^{15} \mathrm{O} \rightarrow {}_{7}^{15} \mathrm{N} + \beta^+ \] This matches the characteristics of positron emission, where the atomic number decreases by 1.

Final Answer

\(\boxed{{}_{8}^{15} \mathrm{O} \rightarrow {}_{7}^{15} \mathrm{N} + \beta^+}\)

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