Chemistry for Engineering Students
Chemistry for Engineering Students
4th Edition
ISBN: 9780357026991
Author: Brown
Publisher: CENGAGE Learning Custom Publishing
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Chapter 14, Problem 14.12PAE

(a)

Interpretation Introduction

To determine:

The complete equation for the given radioactive decay and identify the missing particle

B49e+?L36i+H24e

(a)

Expert Solution
Check Mark

Explanation of Solution

Because this is an alpha decay, the helium nucleus is ejected with decrease in mass number by 4 and atomic number by 2 of the parent nucleus. By balancing the mass numbers of products with that of parent nuclei, the mass number of missing particle is 6+49=1. Similarly, atomic number of the missing particle is 3+24=1. The nucleus of atomic number 1 is Hydrogen. Hence, the equation is:

B49e+H11L36i+H24e

(b)

Interpretation Introduction

To determine:

The complete equation for the given radioactive decay and identify the missing particle

?+n01N1124a+H24e

(b)

Expert Solution
Check Mark

Explanation of Solution

In case of alpha decay, the helium nucleus is ejected. By balancing the mass numbers of products with that of a parent nuclei, the mass number of missing particle is 24+41=27. Similarly, atomic number of the missing particle is 11+20=13. The nucleus of atomic number 13 is Aluminum. Hence, the equation is:

A1327l+n01N1124a+H24e

(c)

Interpretation Introduction

To determine:

The complete equation for the given radioactive decay and identify the missing particle:

C2040a+?K1940+H11

(c)

Expert Solution
Check Mark

Explanation of Solution

In the given equation, balancing the mass number and atomic number of the product and reactant sides, we get, the mass number of missing particle is 40+140=1. Similarly, atomic number of the missing particle is 19+120=0. The particle with atomic number 0 and mass number 1 is Neutron. Hence, the equation is:

C2040a+n01K1940+H11

(d)

Interpretation Introduction

To determine:

The complete equation for the given radioactive decay and identify the missing particle

A95241m+H24eB97243k+?

(d)

Expert Solution
Check Mark

Explanation of Solution

By balancing the mass numbers of products with that of parent nuclei, the mass number of missing particle is 241+4243=2. Similarly, atomic number of the missing particle is 95+297=0. The particle with 0 mass number is neutron. Hence, the equation is:

A95241m+H24eB97243k+2n01

(e)

Interpretation Introduction

To determine:

The complete equation for the given radioactive decay and identify the missing particle

C96246m+C6124n01+?

(e)

Expert Solution
Check Mark

Explanation of Solution

In case of neutron decay, the mass number gets reduced. By balancing the mass numbers of products with that of parent nuclei, the mass number of missing particle is 246+124×1=254. Similarly, atomic number of the missing particle is 96+64×0=102. The nucleus of atomic number 102 is Nobelium. Hence, the equation is:

C96246m+C6124n01+N102254o

(f)

Interpretation Introduction

To determine:

The complete equation for the given radioactive decay and identify the missing particle:

U92238+?F100249m+5n01

(f)

Expert Solution
Check Mark

Explanation of Solution

In the given equation, balancing the mass number and atomic number of the product and reactant sides, we get, the mass number of missing particle is 249+5×1238=16. Similarly, atomic number of the missing particle is 100+5×092=8. The nucleus with atomic number 8 is Oxygen. Hence, the equation is:

U92238+O816F100249m+5n01

Conclusion

Therefore, if one of the species from the radioactive decay equation is missing, it can be determined by balancing atomic numbers and atomic mass numbers.

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Chapter 14 Solutions

Chemistry for Engineering Students

Ch. 14 - Prob. 14.1PAECh. 14 - Prob. 14.2PAECh. 14 - Prob. 14.3PAECh. 14 - Prob. 14.4PAECh. 14 - (a) How does 14C enter a living plant? (b) Write...Ch. 14 - Prob. 14.6PAECh. 14 - Prob. 14.7PAECh. 14 - Prob. 14.8PAECh. 14 - Prob. 14.9PAECh. 14 - Prob. 14.10PAECh. 14 - Prob. 14.11PAECh. 14 - Prob. 14.12PAECh. 14 - Prob. 14.13PAECh. 14 - Prob. 14.14PAECh. 14 - Prob. 14.15PAECh. 14 - Prob. 14.16PAECh. 14 - Prob. 14.17PAECh. 14 - Prob. 14.18PAECh. 14 - Prob. 14.19PAECh. 14 - Prob. 14.20PAECh. 14 - Prob. 14.21PAECh. 14 - Prob. 14.22PAECh. 14 - Prob. 14.23PAECh. 14 - Prob. 14.24PAECh. 14 - Prob. 14.25PAECh. 14 - Prob. 14.26PAECh. 14 - Prob. 14.27PAECh. 14 - Prob. 14.28PAECh. 14 - Prob. 14.29PAECh. 14 - Prob. 14.30PAECh. 14 - Prob. 14.31PAECh. 14 - Prob. 14.32PAECh. 14 - Prob. 14.33PAECh. 14 - Prob. 14.34PAECh. 14 - Prob. 14.35PAECh. 14 - Prob. 14.36PAECh. 14 - Prob. 14.37PAECh. 14 - Prob. 14.38PAECh. 14 - Prob. 14.39PAECh. 14 - Prob. 14.40PAECh. 14 - Prob. 14.41PAECh. 14 - Prob. 14.42PAECh. 14 - Prob. 14.43PAECh. 14 - Prob. 14.44PAECh. 14 - Prob. 14.45PAECh. 14 - Prob. 14.46PAECh. 14 - Prob. 14.47PAECh. 14 - Prob. 14.48PAECh. 14 - Prob. 14.49PAECh. 14 - Prob. 14.50PAECh. 14 - Prob. 14.51PAECh. 14 - Prob. 14.52PAECh. 14 - Prob. 14.53PAECh. 14 - Prob. 14.54PAECh. 14 - Prob. 14.55PAECh. 14 - Prob. 14.56PAECh. 14 - Prob. 14.57PAECh. 14 - Prob. 14.58PAECh. 14 - Prob. 14.59PAECh. 14 - Prob. 14.60PAECh. 14 - Prob. 14.61PAECh. 14 - Prob. 14.62PAECh. 14 - Prob. 14.63PAECh. 14 - Prob. 14.64PAECh. 14 - Prob. 14.65PAECh. 14 - Prob. 14.66PAECh. 14 - Prob. 14.67PAECh. 14 - Prob. 14.68PAECh. 14 - Prob. 14.69PAECh. 14 - Prob. 14.70PAECh. 14 - Prob. 14.71PAECh. 14 - Prob. 14.72PAECh. 14 - Prob. 14.73PAECh. 14 - Prob. 14.74PAECh. 14 - Prob. 14.75PAECh. 14 - Prob. 14.76PAECh. 14 - Prob. 14.77PAECh. 14 - Prob. 14.78PAECh. 14 - Prob. 14.79PAECh. 14 - Prob. 14.80PAECh. 14 - Prob. 14.81PAECh. 14 - Prob. 14.82PAECh. 14 - Prob. 14.83PAECh. 14 - Prob. 14.84PAECh. 14 - Prob. 14.85PAECh. 14 - Prob. 14.86PAECh. 14 - Prob. 14.87PAECh. 14 - Prob. 14.88PAECh. 14 - Prob. 14.89PAECh. 14 - Prob. 14.90PAECh. 14 - Prob. 14.91PAECh. 14 - Prob. 14.92PAECh. 14 - Prob. 14.93PAECh. 14 - Prob. 14.94PAECh. 14 - Prob. 14.95PAECh. 14 - Prob. 14.96PAECh. 14 - Prob. 14.97PAECh. 14 - Prob. 14.98PAECh. 14 - Prob. 14.99PAECh. 14 - Prob. 14.100PAECh. 14 - Prob. 14.101PAECh. 14 - Prob. 14.102PAECh. 14 - Prob. 14.103PAECh. 14 - Prob. 14.104PAECh. 14 - Prob. 14.105PAECh. 14 - Prob. 14.106PAECh. 14 - Prob. 14.107PAE
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