Moles and atoms of titanium in the given compounds

Question

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Answer 1

Question

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti

So, 0.125 mol of Ti₃O₅ contains 0.375 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.375 mol of Ti to atoms of Ti.

0.375 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti= 2.26*1023 atoms of Ti

So 0.125 moles of Ti₃O₅ contains 2.26 * 10²³ atoms of Ti.

Conclusion:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.250 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium

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Answer 2

Question

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti

So, 0.125 mol of Ti₃O₅ contains 0.375 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.375 mol of Ti to atoms of Ti.

0.375 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti= 2.26*1023 atoms of Ti

So 0.125 moles of Ti₃O₅ contains 2.26 * 10²³ atoms of Ti.

Conclusion:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.250 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium

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Answer 3

Question

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti

So, 0.125 mol of Ti₃O₅ contains 0.375 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.375 mol of Ti to atoms of Ti.

0.375 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti= 2.26*1023 atoms of Ti

So 0.125 moles of Ti₃O₅ contains 2.26 * 10²³ atoms of Ti.

Conclusion:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.250 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium

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Answer 4

Question

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti

So, 0.125 mol of Ti₃O₅ contains 0.375 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.375 mol of Ti to atoms of Ti.

0.375 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti= 2.26*1023 atoms of Ti

So 0.125 moles of Ti₃O₅ contains 2.26 * 10²³ atoms of Ti.

Conclusion:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.250 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium

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Answer 5

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti

So, 0.125 mol of Ti₃O₅ contains 0.375 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.375 mol of Ti to atoms of Ti.

0.375 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti= 2.26*1023 atoms of Ti

So 0.125 moles of Ti₃O₅ contains 2.26 * 10²³ atoms of Ti.

Conclusion:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.250 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium

Answer 6

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti

So, 0.125 mol of Ti₃O₅ contains 0.375 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.375 mol of Ti to atoms of Ti.

0.375 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti= 2.26*1023 atoms of Ti

So 0.125 moles of Ti₃O₅ contains 2.26 * 10²³ atoms of Ti.

Conclusion:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.250 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium

Answer 7

Chapter 2, Problem 2.65QA

Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Answer 8

Expert Solution & Answer

Answer to Problem 2.65QA

Solution:

a) 0.125 moles of FeTiO₃ contains 0.125 moles and 7.53 * 10²² atoms of Titanium_.

b) 0.125 moles of TiCl₄ contains 0.125 moles and 7.53 * 10²² atoms of Titanium

c) 0.125 moles of Ti₂O₃ contains 0.25 moles and 1.51 * 10²³ atoms of Titanium_.

d) 0.125 moles of Ti₃O₅ contains 0.375 moles and 2.26 * 10²³ atoms of Titanium_.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Calculations:

a) 0.125 mol of FeTiO₃

In one molecule of FeTiO₃, there is one atom of Ti. Therefore, we can say that the mole ratio between FeTiO₃: Ti is 1:1. Now, we have the mole to mole ratio, and moles of FeTiO_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of FeTiO3 *1 mol of Ti1 mol of FeTiO3=0.125 mol of Ti

So, 0.125 mol of FeTiO₃ contains 0.125 mol of Ti.

Now, we convert moles into atoms. We know that in every 1 mol of substance we have 6.023 * 10²³ molecules or atoms of the given substance which is equal to Avogadro’s number.

1 mol Ti = 6.023 * 1023 atoms of Ti

Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of FeTiO₃ contains 7.53 * 10²² atoms of Ti.

b) 0.125 mol of TiCl₄

In one molecule of TiCl₄, there is one atom of Ti. Therefore, we can say the mole ratio between TiCl₄: Ti is 1:1. Now, we have the mole to mole ratio and moles of TiCl_4; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of TiCl4*1 mol of Ti1 mol of TiCl4=0.125 mol of Ti

So, 0.125 mol of TiCl₄ contains 0.125 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.125 mol of Ti to atoms of Ti.

0.125 mol of Ti ×6.023* 1023 atoms of Ti 1 mol of Ti=7.53×1022 atoms of Ti

So, 0.125 moles of TiCl₄ contains 7.53 * 10²² atoms of Ti.

c) 0.125 mol of Ti₂O₃

In one molecule of Ti₂O₃, there are two atoms of Ti. Therefore, we can say the mole ratio between Ti₂O₃: Ti is 1:2. Now, we have the mole to mole ratio and moles of Ti₂O_3; so, we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti2O3*2 mol of Ti 1 mol of Ti2O3=0.250 mol of Ti

So, 0.125 mol of Ti₂O₃ contains 0.250 mol of Ti.

We know that 1 mol of Ti = 6.023 * 10²³ atoms of Ti. Using this conversion factor, we will convert 0.250 mol of Ti to atoms of Ti.

0.250 mol of Ti ×6.023* 1023 atoms of Ti1 mol of Ti=1.51× 1023 atoms of Ti

So, 0.125 moles of Ti₂O₃ contains 1.51 * 10²³ atoms of Ti.

d) 0.125 mol of Ti₃O₅

In one molecule of Ti₃O₅, there are three atoms of Ti. Therefore, we can say the mole ratio between Ti₃O₅: Ti is 1:3. Now, we have the mole to mole ratio and moles of Ti₃O_5; so we can calculate the moles of Ti using the dimensional analysis method.

0.125 mol of Ti3O5*3 mol of Ti1 mol of Ti3O5=0.375 mol of Ti