Chemistry
Chemistry
4th Edition
ISBN: 9780393919370
Author: Thomas R. Gilbert
Publisher: NORTON
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 2, Problem 2.116AP

(a)

Interpretation Introduction

To determine: The percentage of aluminum present in 12.04carats of ruby.

Interpretation: The percentage of aluminum present in 12.04carats of ruby is to be calculated.

Concept introduction: The mass of aluminum present in ruby is calculated by the formula,

mAl=MAlMR×mR

(a)

Expert Solution
Check Mark

Answer to Problem 2.116AP

The percentage of aluminum present in ruby is 52.90%_.

Explanation of Solution

Given

The chemical formula of ruby is Al2O3.

The mass of ruby is 12.04carats.

The mass of aluminum present in ruby is calculated by the formula,

mAl=MAlMR×mR (1)

Where,

  • MAl is the molar mass of aluminum.
  • MR is the molar mass of ruby.
  • mR is the given mass of ruby.

The relationship between carat and mg is,

1carat=200.0mg

Convert 12.04carats to mg using the above relation.

12.04carats=12.04×200.0mg=2408mg

The relationship between mg and g is,

1g=1000mg

Convert 2408mg to g using above relation.

2408mg=24081000g=2.408g

The molar mass of aluminum is 27g/mol.

The molar mass of ruby (Al2O3) is =2Al+3O=2×27g/mol+3×16g/mol=102g/mol

The molar mass of two aluminum atoms is =2Al=2×27g/mol=54g/mol

Substitute the molar mass of ruby, molar mass of aluminum and given mass of ruby in equation (1).

mAl=54g/mol102g/mol×2.408g=0.5294×2.408g=1.274g

The percentage of aluminum is calculated by the formula,

P%=mAlmR×100

Substitute the mass of aluminum present in ruby and mass of ruby in the above formula.

P%=1.274g2.408g×100=52.90%

The percentage of aluminum present in ruby is 52.90%_.

(b)

Interpretation Introduction

To determine: The volume of ruby.

Interpretation: The density of ruby is given to be 4.02g/cm3. The volume of ruby is to be calculated.

Concept introduction: The volume of the ruby is calculated by the formula,

V=mRd

(b)

Expert Solution
Check Mark

Answer to Problem 2.116AP

The volume of ruby is 0.5990ml_.

Explanation of Solution

The volume of the ruby is calculated by the formula,

V=mRd

Where,

  • mR is the mass of ruby.
  • d is the density of ruby.

The mass of ruby is 2.408g.

Substitute the mass and density of ruby in the above formula.

V=2.408g4.02g/cm3=0.5990cm3

The relationship between cm3 and ml is,

1cm3=1ml

Convert 0.5990cm3 to ml.

0.5990cm3=0.5990ml

Therefore, the volume of ruby is 0.5990ml_.

Conclusion
  1. a. The percentage of aluminum present in ruby is 52.90%_.
  2. b. The volume of ruby is 0.5990ml_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 2 Solutions

Chemistry

Ch. 2 - Prob. 2.3VPCh. 2 - Prob. 2.4VPCh. 2 - Prob. 2.5VPCh. 2 - Prob. 2.6VPCh. 2 - Prob. 2.7VPCh. 2 - Prob. 2.8VPCh. 2 - Prob. 2.9QPCh. 2 - Prob. 2.10QPCh. 2 - Prob. 2.11QPCh. 2 - Prob. 2.12QPCh. 2 - Prob. 2.13QPCh. 2 - Prob. 2.14QPCh. 2 - Prob. 2.15QPCh. 2 - Prob. 2.16QPCh. 2 - Prob. 2.17QPCh. 2 - Prob. 2.18QPCh. 2 - Prob. 2.19QPCh. 2 - Prob. 2.20QPCh. 2 - Prob. 2.21QPCh. 2 - Prob. 2.22QPCh. 2 - Prob. 2.23QPCh. 2 - Prob. 2.24QPCh. 2 - Prob. 2.25QPCh. 2 - Prob. 2.26QPCh. 2 - Prob. 2.27QPCh. 2 - Prob. 2.28QPCh. 2 - Prob. 2.29QPCh. 2 - Prob. 2.30QPCh. 2 - Prob. 2.31QPCh. 2 - Prob. 2.32QPCh. 2 - Prob. 2.33QPCh. 2 - Prob. 2.34QPCh. 2 - Prob. 2.35QPCh. 2 - Prob. 2.36QPCh. 2 - Prob. 2.38QPCh. 2 - Prob. 2.39QPCh. 2 - Prob. 2.40QPCh. 2 - Prob. 2.41QPCh. 2 - Prob. 2.42QPCh. 2 - Prob. 2.43QPCh. 2 - Prob. 2.44QPCh. 2 - Prob. 2.45QPCh. 2 - Prob. 2.46QPCh. 2 - Prob. 2.47QPCh. 2 - Prob. 2.48QPCh. 2 - Prob. 2.49QPCh. 2 - Prob. 2.50QPCh. 2 - Prob. 2.51QPCh. 2 - Prob. 2.52QPCh. 2 - Prob. 2.53QPCh. 2 - Prob. 2.54QPCh. 2 - Prob. 2.55QPCh. 2 - Prob. 2.56QPCh. 2 - Prob. 2.57QPCh. 2 - Prob. 2.58QPCh. 2 - Prob. 2.59QPCh. 2 - Prob. 2.60QPCh. 2 - Prob. 2.61QPCh. 2 - Prob. 2.62QPCh. 2 - Prob. 2.63QPCh. 2 - Prob. 2.64QPCh. 2 - Prob. 2.65QPCh. 2 - Prob. 2.66QPCh. 2 - Prob. 2.67QPCh. 2 - Prob. 2.68QPCh. 2 - Prob. 2.69QPCh. 2 - Prob. 2.70QPCh. 2 - Prob. 2.71QPCh. 2 - Prob. 2.72QPCh. 2 - Prob. 2.73QPCh. 2 - Prob. 2.74QPCh. 2 - Prob. 2.75QPCh. 2 - Prob. 2.76QPCh. 2 - Prob. 2.77QPCh. 2 - Prob. 2.78QPCh. 2 - Prob. 2.79QPCh. 2 - Prob. 2.80QPCh. 2 - Prob. 2.81QPCh. 2 - Prob. 2.82QPCh. 2 - Prob. 2.83QPCh. 2 - Prob. 2.84QPCh. 2 - Prob. 2.85QPCh. 2 - Prob. 2.86QPCh. 2 - Prob. 2.87QPCh. 2 - Prob. 2.88QPCh. 2 - Prob. 2.89QPCh. 2 - Prob. 2.90QPCh. 2 - Prob. 2.91QPCh. 2 - Prob. 2.92QPCh. 2 - Prob. 2.93QPCh. 2 - Prob. 2.94QPCh. 2 - Prob. 2.95QPCh. 2 - Prob. 2.96QPCh. 2 - Prob. 2.97QPCh. 2 - Prob. 2.98QPCh. 2 - Prob. 2.99QPCh. 2 - Prob. 2.100QPCh. 2 - Prob. 2.101QPCh. 2 - Prob. 2.102QPCh. 2 - Prob. 2.103QPCh. 2 - Prob. 2.104APCh. 2 - Prob. 2.105APCh. 2 - Prob. 2.106APCh. 2 - Prob. 2.107APCh. 2 - Prob. 2.108APCh. 2 - Prob. 2.109APCh. 2 - Prob. 2.110APCh. 2 - Prob. 2.111APCh. 2 - Prob. 2.112APCh. 2 - Prob. 2.113APCh. 2 - Prob. 2.114APCh. 2 - Prob. 2.115APCh. 2 - Prob. 2.116APCh. 2 - Prob. 2.117APCh. 2 - Prob. 2.118APCh. 2 - Prob. 2.119APCh. 2 - Prob. 2.120APCh. 2 - Prob. 2.121APCh. 2 - Prob. 2.122APCh. 2 - Prob. 2.123APCh. 2 - Prob. 2.125APCh. 2 - Prob. 2.126APCh. 2 - Prob. 2.127AP
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY
Types of Matter: Elements, Compounds and Mixtures; Author: Professor Dave Explains;https://www.youtube.com/watch?v=dggHWvFJ8Xs;License: Standard YouTube License, CC-BY