Chapter 3, Problem 3.57QP

Problems

3.57    Balance the following equations using the method outlined in Section 3.7.

(a)     $\text{C}+{\text{O}}_2\to \text{CO}$

(b)     $\text{CO}+{\text{O}}_2\to {\text{CO}}_2$

(c)     ${\text{H}}_2+{\text{Br}}_2\to \text{HBr}$

(d)     $\text{K}+{\text{H}}_2\text{O}\to \text{KOH}+{\text{H}}_2$

(e)     $\text{Mg}+{\text{O}}_2\to \text{MgO}$

(f)     ${\text{O}}_3\to {\text{O}}_2$

(g)     ${\text{H}}_2{\text{O}}_2\to {\text{H}}_2\text{O}+{\text{O}}_2$

(h)     ${\text{N}}_2+{\text{H}}_2\to {\text{NH}}_3$

(i)     $\text{Zn}+\text{AgCl}\to {\text{ZnCl}}_2+\text{Ag}$

(j)     ${\text{S}}_8+{\text{O}}_2\to {\text{SO}}_2$

(k)     $\text{NaOH}+{\text{H}}_2{\text{SO}}_4\to {\text{Na}}_2{\text{SO}}_4+{\text{H}}_2\text{O}$

(l)     ${\text{Cl}}_2+\text{NaI}\to \text{NaCl}+{\text{I}}_2$

(m)     $\text{KOH}+{\text{H}}_3{\text{PO}}_4\to {\text{K}}_3{\text{PO}}_4+{\text{H}}_2\text{O}$

(n)     ${\text{CH}}_4+{\text{Br}}_2\to {\text{CBr}}_4+\text{HBr}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{2C}+{\text{O}}_2\to 2\text{CO}$

Explanation of Solution

The given unbalanced chemical equation is,$\text{C}+{\text{O}}_2\to \text{CO}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

$\text{2C}+{\text{O}}_2\to 2\text{CO}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{2CO}+{\text{O}}_2\to 2{\text{CO}}_2$

Explanation of Solution

The given unbalanced chemical equation is,$\text{CO}+{\text{O}}_2\to {\text{CO}}_2$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

$\text{2CO}+{\text{O}}_2\to 2{\text{CO}}_2$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{H}}_2+{\text{Br}}_2\to 2\text{HBr}$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{H}}_2+{\text{Br}}_2\to \text{HBr}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

${\text{H}}_2+{\text{Br}}_2\to 2\text{HBr}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{2K}+2{\text{H}}_2\text{O}\to 2\text{KOH}\text{+}{\text{H}}_2$

Explanation of Solution

The given unbalanced chemical equation is, $\text{K}+{\text{H}}_2\text{O}\to \text{KOH}\text{+}{\text{H}}_2$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

$\text{2K}+2{\text{H}}_2\text{O}\to 2\text{KOH}\text{+}{\text{H}}_2$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{2Mg}+{\text{O}}_2\to 2\text{MgO}$

Explanation of Solution

The given unbalanced chemical equation is, $\text{Mg}+{\text{O}}_2\to \text{MgO}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is, $\text{2Mg}+{\text{O}}_2\to 2\text{MgO}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{2O}}_3\to 3{\text{O}}_2$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{O}}_3\to {\text{O}}_2$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is, ${\text{2O}}_3\to 3{\text{O}}_2$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{2H}}_2{\text{O}}_2\to 2{\text{H}}_2\text{O}\text{+}{\text{O}}_2$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{H}}_2{\text{O}}_2\to {\text{H}}_2\text{O}\text{+}{\text{O}}_2$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is, ${\text{2H}}_2{\text{O}}_2\to 2{\text{H}}_2\text{O}\text{+}{\text{O}}_2$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{N}}_2+3{\text{H}}_2\to 2{\text{NH}}_3$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{N}}_2+{\text{H}}_2\to {\text{NH}}_3$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is, ${\text{N}}_2+3{\text{H}}_2\to 2{\text{NH}}_3$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{Zn}+2\text{AgCl}\to {\text{ZnCl}}_2\text{+}2\text{Ag}$

Explanation of Solution

The given unbalanced chemical equation is, $\text{Zn}+\text{AgCl}\to {\text{ZnCl}}_2\text{+}\text{Ag}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

$\text{Zn}+2\text{AgCl}\to {\text{ZnCl}}_2\text{+}2\text{Ag}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{S}}_8+8{\text{O}}_2\to 8{\text{SO}}_2$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{S}}_8+{\text{O}}_2\to {\text{SO}}_2$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is, ${\text{S}}_8+8{\text{O}}_2\to 8{\text{SO}}_2$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{2NaOH}+{\text{H}}_2{\text{SO}}_4\to {\text{Na}}_2{\text{SO}}_4\text{+}2{\text{H}}_2\text{O}$

Explanation of Solution

The given unbalanced chemical equation is, $\text{NaOH}+{\text{H}}_2{\text{SO}}_4\to {\text{Na}}_2{\text{SO}}_4\text{+}{\text{H}}_2\text{O}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

 $\text{2NaOH}+{\text{H}}_2{\text{SO}}_4\to {\text{Na}}_2{\text{SO}}_4\text{+}2{\text{H}}_2\text{O}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{Cl}}_2+2\text{NaI}\to 2\text{NaCl}\text{+}{\text{I}}_2$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{Cl}}_2+\text{NaI}\to \text{NaCl}\text{+}{\text{I}}_2$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

 ${\text{Cl}}_2+2\text{NaI}\to 2\text{NaCl}\text{+}{\text{I}}_2$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is $\text{3KOH}+{\text{H}}_3{\text{PO}}_4\to {\text{K}}_3{\text{PO}}_4\text{+}3{\text{H}}_2\text{O}$

Explanation of Solution

The given unbalanced chemical equation is, $\text{KOH}+{\text{H}}_3{\text{PO}}_4\to {\text{K}}_3{\text{PO}}_4\text{+}{\text{H}}_2\text{O}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

 $\text{3KOH}+{\text{H}}_3{\text{PO}}_4\to {\text{K}}_3{\text{PO}}_4\text{+}3{\text{H}}_2\text{O}$

Interpretation Introduction

Interpretation:

The chemical equation has to be balanced.

Concept Introduction:

• Chemical equation is the representation of a chemical reaction, in which the reactants and products of the reactions are represented left and right side of an arrow respectively by using their respective chemical formulas.
• Balanced chemical equation of a reaction is written according to law of conservation of mass.

Balanced reaction is a chemical reaction in which number of atoms for each element in the reaction and the total charge are same on both reactant side and the product side.

Steps in balancing the information

• Step 1: Write the unbalanced equation
• Step 2: Find the coefficient to balance the equation.
• The coefficient should be reduced to the smallest whole number.

Answer to Problem 3.57QP

The balance chemical equation is ${\text{CH}}_4+4{\text{Br}}_2\to {\text{CBr}}_4+4\text{HBr}$

Explanation of Solution

The given unbalanced chemical equation is, ${\text{CH}}_4+{\text{Br}}_2\to {\text{CBr}}_4+\text{HBr}$

Balanced chemical equation of a reaction is written according to law of conservation of mass.

Therefore,

The total number of each atoms in the reactant side should equal to the total number of each atoms in the product side.

So, in order to balance a chemical equation, the coefficients of compounds or atoms are needed to be changed in such a way that total number of each atoms in the reactant side and the total number of each atoms in the product side is to become equal.

Hence,

The Balanced chemical equation for the chemical equation is,

 ${\text{CH}}_4+4{\text{Br}}_2\to {\text{CBr}}_4+4\text{HBr}$