General Chemistry
General Chemistry
7th Edition
ISBN: 9780073402758
Author: Chang, Raymond/ Goldsby
Publisher: McGraw-Hill College
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Chapter 21, Problem 21.57QP

(a)

Interpretation Introduction

Interpretation: 

For the given nuclear reaction, X should be identified and the equation should be balanced.

Concept Introduction:

  • Nuclear reaction can be written in the shorthand notation with the parentheses. Bombarding particle, that is projectile can be represented as first symbol in the parentheses and the emitted particle that is ejected which can be represented as the second particle in the parentheses.

Parent nucleus and daughter nucleus can be represented in the front part of the parentheses and back part of the parentheses respectively.

  7N15(p,α)6C12Parentnucleus(Projectile,ejectile)Daughternucleus

  • On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal.

To find: The value of X in the given nuclear equation (a).

X=23He

(a)

Expert Solution
Check Mark

Answer to Problem 21.57QP

H13 23He+β-1 0                        X=23He

Explanation of Solution

Nuclear reaction can be written in the shorthand notation with the parentheses. Bombarding particle, that is projectile can be represented as first symbol in the parentheses and the emitted particle that is ejectile which can be represented as the second particle in the parentheses. Parent nucleus and daughter nucleus can be represented in the front part of the parentheses and back part of the parentheses respectively. So for any nuclear reaction, short hand notation will be in this form that is,Parentnucleus(Projectile,ejectile)Daughternucleus

For the given reaction,

Parentnucleus-H13Daughternucleus-XEjectile-β

The given chemical equation can be written as,

H13  X -1 0

On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal. So the X will be 23X. By analyzing the X, atomic number of X is 3 and the atomic mass is 2. So it is found that X=23He.

So the balanced equation can be written as,

H13 23He+β-1 0

(b)

Interpretation Introduction

Interpretation:  For the given nuclear reaction, X should be identified and the equation should be balanced.

Concept Introduction:

  • Nuclear reaction can be written in the shorthand notation with the parentheses. Bombarding particle, that is projectile can be represented as first symbol in the parentheses and the emitted particle that is ejectile which can be represented as the second particle in the parentheses.

Parent nucleus and daughter nucleus can be represented in the front part of the parentheses and back part of the parentheses respectively.

7N15(p,α)6C12Parentnucleus(Projectile,ejectile)Daughternucleus

  • On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal.

To find: The value of X in the given nuclear equation (b).

X=U92238

(b)

Expert Solution
Check Mark

Answer to Problem 21.57QP

Pu94242α24+U92238                      X=U92238

Explanation of Solution

For the given reaction b,

Parentnucleus-P94242Daughternucleus-XEjectile-α

The given chemical equation can be written as,

Pu94242α24+ X

On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal. So the X will be 92238X. By analyzing the X, atomic number of X is 92 and the atomic mass is 238. So it should be the isotope of Uranium-238. It is found that X=U92238.

 So the balanced equation can be written as,

.Pu94242α24+U92238

(c)

Interpretation Introduction

Interpretation:  For the given nuclear reaction, X should be identified and the equation should be balanced.

Concept Introduction:

  • Nuclear reaction can be written in the shorthand notation with the parentheses. Bombarding particle, that is projectile can be represented as first symbol in the parentheses and the emitted particle that is ejectile which can be represented as the second particle in the parentheses.

Parent nucleus and daughter nucleus can be represented in the front part of the parentheses and back part of the parentheses respectively.

7N15(p,α)6C12Parentnucleus(Projectile,ejectile)Daughternucleus

  • On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal.

To find: The value of X in the given nuclear equation (c).

X=Xe54131

(c)

Expert Solution
Check Mark

Answer to Problem 21.57QP

I53131Xe54131-1 0                       X=Xe54131

Explanation of Solution

For the given reactions,

Parentnucleus-I53131Daughternucleus-XEjectile-β

The given chemical equation can be written as,

I53131 X -1 0 

On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal. So X will be 57146X. By analyzing the X, atomic number of X is57 and the atomic mass is 146. So it should be the isotope of Xe. It is found that X=La57146_

 So the balanced equation can be written as,

.I53131Xe54131-1 0

(d)

Interpretation Introduction

Interpretation:  For the given nuclear reaction, X should be identified and the equation should be balanced.

Concept Introduction:

  • Nuclear reaction can be written in the shorthand notation with the parentheses. Bombarding particle, that is projectile can be represented as first symbol in the parentheses and the emitted particle that is ejectile which can be represented as the second particle in the parentheses.

Parent nucleus and daughter nucleus can be represented in the front part of the parentheses and back part of the parentheses respectively.

7N15(p,α)6C12Parentnucleus(Projectile,ejectile)Daughternucleus

  • On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal.

To find: The value of X in the given nuclear equation (d).

X=Cm96247

(d)

Expert Solution
Check Mark

Answer to Problem 21.57QP

Cf98251Cm9624724                  X=Cm96247

Explanation of Solution

For the given reactions, Shorthand notation is U92235(n,n)X. From the notation it is clear that,

Parentnucleus-U92235Daughternucleus-XEjectile-α

The given chemical equation can be written as,

Cf98251 X 24 

On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal. So X will be 97247X. By analyzing the X, atomic number of X is97 and the atomic mass is 247. So it should be the isotope of Cm. It is found that X=4n01_

 So the balanced equation can be written as,

Cf98251Cm9624724 

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Chapter 21 Solutions

General Chemistry

Ch. 21 - Prob. 21.2QPCh. 21 - Prob. 21.3QPCh. 21 - Prob. 21.4QPCh. 21 - Prob. 21.5QPCh. 21 - Prob. 21.6QPCh. 21 - Prob. 21.7QPCh. 21 - Prob. 21.8QPCh. 21 - Prob. 21.9QPCh. 21 - Prob. 21.10QPCh. 21 - Prob. 21.11QPCh. 21 - Prob. 21.12QPCh. 21 - Prob. 21.13QPCh. 21 - Prob. 21.14QPCh. 21 - Prob. 21.15QPCh. 21 - Prob. 21.16QPCh. 21 - Prob. 21.17QPCh. 21 - Prob. 21.18QPCh. 21 - Prob. 21.19QPCh. 21 - Prob. 21.20QPCh. 21 - Prob. 21.21QPCh. 21 - Prob. 21.22QPCh. 21 - Prob. 21.23QPCh. 21 - Prob. 21.24QPCh. 21 - Prob. 21.25QPCh. 21 - Prob. 21.26QPCh. 21 - Prob. 21.27QPCh. 21 - Prob. 21.28QPCh. 21 - Prob. 21.29QPCh. 21 - Prob. 21.30QPCh. 21 - Prob. 21.31QPCh. 21 - Prob. 21.32QPCh. 21 - Prob. 21.33QPCh. 21 - Prob. 21.34QPCh. 21 - Prob. 21.35QPCh. 21 - Prob. 21.36QPCh. 21 - Prob. 21.37QPCh. 21 - Prob. 21.38QPCh. 21 - Prob. 21.39QPCh. 21 - Prob. 21.40QPCh. 21 - Prob. 21.41QPCh. 21 - Prob. 21.42QPCh. 21 - Prob. 21.43QPCh. 21 - Prob. 21.44QPCh. 21 - Prob. 21.45QPCh. 21 - Prob. 21.46QPCh. 21 - Prob. 21.47QPCh. 21 - Prob. 21.48QPCh. 21 - Prob. 21.49QPCh. 21 - Prob. 21.50QPCh. 21 - Prob. 21.51QPCh. 21 - Prob. 21.52QPCh. 21 - Prob. 21.53QPCh. 21 - Prob. 21.54QPCh. 21 - Prob. 21.55QPCh. 21 - Prob. 21.56QPCh. 21 - Prob. 21.57QPCh. 21 - Prob. 21.58QPCh. 21 - Prob. 21.59QPCh. 21 - Prob. 21.60QPCh. 21 - Prob. 21.61QPCh. 21 - Prob. 21.62QPCh. 21 - Prob. 21.63QPCh. 21 - Prob. 21.64QPCh. 21 - Prob. 21.65QPCh. 21 - Prob. 21.66QPCh. 21 - Prob. 21.67QPCh. 21 - Prob. 21.68QPCh. 21 - Prob. 21.69QPCh. 21 - Prob. 21.70QPCh. 21 - Prob. 21.71QPCh. 21 - Prob. 21.72QPCh. 21 - Prob. 21.73QPCh. 21 - Prob. 21.74QPCh. 21 - Prob. 21.75QPCh. 21 - Prob. 21.76QPCh. 21 - Prob. 21.77QPCh. 21 - Prob. 21.78QPCh. 21 - Prob. 21.79QPCh. 21 - Prob. 21.80QPCh. 21 - Prob. 21.81QPCh. 21 - Prob. 21.82QPCh. 21 - Prob. 21.83QPCh. 21 - Prob. 21.84QPCh. 21 - Prob. 21.85QPCh. 21 - Prob. 21.86QPCh. 21 - Prob. 21.87SPCh. 21 - Prob. 21.88SPCh. 21 - Prob. 21.89SPCh. 21 - Prob. 21.90SPCh. 21 - Prob. 21.91SPCh. 21 - Prob. 21.92SPCh. 21 - Prob. 21.93SPCh. 21 - Prob. 21.94SPCh. 21 - Prob. 21.95SPCh. 21 - Prob. 21.96SPCh. 21 - Prob. 21.97SPCh. 21 - Prob. 21.98SPCh. 21 - Prob. 21.99SP
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