Complete the following nuclear reactions: a. ^2713 Al+2^4 Hc →?+^3015 P b. 0^1 n+? →2^4 He+3^7 L

Name: Problem 51, Chapter 25: Holt Physics
Uploaded: 2020-05-08T21:51:09-08:00
Duration: 2 min 17 s
Channel: Matthew Lueckheide
Description: Complete the following nuclear reactions: a. ^2713 Al+2^4 Hc →?+^3015 P b. 0^1 n+? →2^4 He+3^7 L

step 1 All right. We have to complete the following nuclear reactions. There are four of them. So essen

Complete the following nuclear reactions: a. ^2713 Al+2^4 Hc...

Complete the following nuclear reactions:
a. $^{27}_{13} \mathrm{Al}+_{2}^{4} \mathrm{Hc} \rightarrow ?+^{30}_{15} \mathrm{P}$
b. $_{0}^{1} n+? \rightarrow_{2}^{4} \mathrm{He}+_{3}^{7} \mathrm{L}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Conservation Laws in Nuclear Reactions

In any nuclear reaction, both the mass number (total number of nucleons) and the atomic number (number of protons) must be conserved. This principle ensures that the sum of these numbers on the reactants side is equal to that on the products side, which is crucial for correctly balancing nuclear equations.

Balancing Nuclear Equations

Balancing nuclear equations involves equating the mass numbers and atomic numbers of the reactants and products. This systematic approach allows one to deduce unknown particles or isotopes in a reaction by setting up equality conditions based on the conservation laws.

Identification of Unknown Nuclear Species

Often in nuclear reactions, one or more particles are not explicitly indicated. By applying conservation of mass and atomic numbers, one can determine the identity of these missing species. This method is essential for understanding and predicting the outcomes of nuclear processes.

Standard Nuclear Notation

Nuclear reactions are expressed using a standardized notation that includes both the mass number and the atomic number along with the chemical symbol of the element. This notation is fundamental for clarity and accuracy when writing and balancing nuclear reactions.

Transcript

0:00 All right.

00:01 We have to complete the following nuclear reactions.

00:04 There are four of them.

00:06 So essentially, we're just going to balance our mass and our charge, and then we'll figure out what element we have to write as the new nucleus.

00:13 Sound good.

00:14 All right.

00:15 So boron 12 is going to carbon 6.

00:19 Sorry, carbon 12, stupid me.

00:21 So our mass is the same here.

00:25 Our mass is increasing by 1.

00:28 So we have to balance that by having a negative mass, a negative charge.

00:35 So our mass is not increasing or decreasing.

00:37 Our charge is going up by one.

00:38 So we have 12 and 5 on the top and bottom, respectively.

00:43 So what particle is that? that's going to be a beta particle.

00:46 So you could write e or you could also write b minus, whatever you want to do.