Chemistry: An Atoms-Focused Approach (Second Edition)
Chemistry: An Atoms-Focused Approach (Second Edition)
2nd Edition
ISBN: 9780393614053
Author: Thomas R. Gilbert, Rein V. Kirss, Stacey Lowery Bretz, Natalie Foster
Publisher: W. W. Norton & Company
Question
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Chapter 2, Problem 2.75QA
Interpretation Introduction

To find:

Moles and atoms of titanium in the given compounds

Expert Solution & Answer
Check Mark

Answer to Problem 2.75QA

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 FeTiO3; 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 TiCl4; 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 Ti2O3; 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 Ti3O5; 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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Chapter 2 Solutions

Chemistry: An Atoms-Focused Approach (Second Edition)

Ch. 2 - Prob. 2.11VPCh. 2 - Prob. 2.12VPCh. 2 - Prob. 2.13QACh. 2 - Prob. 2.14QACh. 2 - Prob. 2.15QACh. 2 - Prob. 2.16QACh. 2 - Prob. 2.17QACh. 2 - Prob. 2.18QACh. 2 - Prob. 2.19QACh. 2 - Prob. 2.20QACh. 2 - Prob. 2.21QACh. 2 - Prob. 2.22QACh. 2 - Prob. 2.23QACh. 2 - Prob. 2.24QACh. 2 - Prob. 2.25QACh. 2 - Prob. 2.26QACh. 2 - Prob. 2.27QACh. 2 - Prob. 2.28QACh. 2 - Prob. 2.29QACh. 2 - Prob. 2.30QACh. 2 - Prob. 2.31QACh. 2 - Prob. 2.32QACh. 2 - Prob. 2.33QACh. 2 - Prob. 2.34QACh. 2 - Prob. 2.35QACh. 2 - Prob. 2.36QACh. 2 - Prob. 2.37QACh. 2 - Prob. 2.38QACh. 2 - Prob. 2.39QACh. 2 - Prob. 2.40QACh. 2 - Prob. 2.41QACh. 2 - Prob. 2.42QACh. 2 - Prob. 2.43QACh. 2 - Prob. 2.44QACh. 2 - Prob. 2.45QACh. 2 - Prob. 2.46QACh. 2 - Prob. 2.47QACh. 2 - Prob. 2.48QACh. 2 - Prob. 2.49QACh. 2 - Prob. 2.50QACh. 2 - Prob. 2.51QACh. 2 - Prob. 2.52QACh. 2 - Prob. 2.53QACh. 2 - Prob. 2.54QACh. 2 - Prob. 2.55QACh. 2 - Prob. 2.56QACh. 2 - Prob. 2.57QACh. 2 - Prob. 2.58QACh. 2 - Prob. 2.59QACh. 2 - Prob. 2.60QACh. 2 - Prob. 2.61QACh. 2 - Prob. 2.62QACh. 2 - Prob. 2.63QACh. 2 - Prob. 2.64QACh. 2 - Prob. 2.65QACh. 2 - Prob. 2.66QACh. 2 - Prob. 2.67QACh. 2 - Prob. 2.68QACh. 2 - Prob. 2.69QACh. 2 - Prob. 2.70QACh. 2 - Prob. 2.71QACh. 2 - Prob. 2.72QACh. 2 - Prob. 2.73QACh. 2 - Prob. 2.74QACh. 2 - Prob. 2.75QACh. 2 - Prob. 2.76QACh. 2 - Prob. 2.77QACh. 2 - Prob. 2.78QACh. 2 - Prob. 2.79QACh. 2 - Prob. 2.80QACh. 2 - Prob. 2.81QACh. 2 - Prob. 2.82QACh. 2 - Prob. 2.83QACh. 2 - Prob. 2.84QACh. 2 - Prob. 2.85QACh. 2 - Prob. 2.86QACh. 2 - Prob. 2.87QACh. 2 - Prob. 2.88QACh. 2 - Prob. 2.89QACh. 2 - Prob. 2.90QACh. 2 - Prob. 2.91QACh. 2 - Prob. 2.92QACh. 2 - Prob. 2.93QACh. 2 - Prob. 2.94QACh. 2 - Prob. 2.95QACh. 2 - Prob. 2.96QACh. 2 - Prob. 2.97QACh. 2 - Prob. 2.98QACh. 2 - Prob. 2.99QACh. 2 - Prob. 2.100QACh. 2 - Prob. 2.101QACh. 2 - Prob. 2.102QACh. 2 - Prob. 2.103QACh. 2 - Prob. 2.104QACh. 2 - Prob. 2.105QACh. 2 - Prob. 2.106QACh. 2 - Prob. 2.107QACh. 2 - Prob. 2.108QACh. 2 - Prob. 2.109QACh. 2 - Prob. 2.110QACh. 2 - Prob. 2.111QACh. 2 - Prob. 2.112QACh. 2 - Prob. 2.113QACh. 2 - Prob. 2.114QACh. 2 - Prob. 2.115QACh. 2 - Prob. 2.116QA
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