Concept explainers
A cylindrical piece of pure copper
Interpretation:
The number of atoms in given cylinder of copper needs to be determined.
Concept introduction:
Relation between mass, volume and density is as follows:
Formula to calculate volume of cylinder is given as follows:
Relation between moles, mass of substance and number of atoms is as follows:
Answer to Problem 38QAP
Number of atoms in given cylinder of pure copper =
Explanation of Solution
Diameter of cylinder = 1.15 cm
Since,
Height of cylinder = 4.00 inches
As 1 inches = 2.54 cm
Therefore,
Formula to calculate volume of cylinder is given as:
Putting the values in above formula to get the volume of cylinder as:
According to question, density of copper = 8.92 g/cm3
Relation between mass, volume and density:
Putting the values in above formula to get the mass of copper as:
Since,
Therefore,
Also,
Mass of copper = 94.11 g
Molar mass of copper = 63.55 g/mol
Putting the values to get the number of atoms as:
Thus,
Thus, the number of atoms in given cylinder of copper=
Want to see more full solutions like this?
Chapter 2 Solutions
Chemistry: Principles and Reactions
- Arrange the following in the order of increasing mass. (a) a potassium ion, K+ (b) a phosphorus molecule, P4 (c) a potassium atom (d) a platinum atomarrow_forwardA sample of metallic element X, weighing 3.177 g, combines with 0.6015 L of O2 gas (at normal pressure and 20.0C) to form the metal oxide with the formula XO. If the density of O2 gas under these conditions is 1.330 g/L, what is the mass of this oxygen? The atomic weight of oxygen is 15.999 amu. What is the atomic weight of X? What is the identity of X?arrow_forward3.116 The simplest approximate chemical formula for the human body could be written as C728H4850O1970N104Ca24P16K4S4Na3Cl2Mg. Based on this formula, describe how you would rank by mass the ten most abundant elements in the human body.arrow_forward
- The photo here depicts what happens when a coil of magnesium ribbon and a few calcium chips are placed in water. (a) Based on these observations, what might you expect to see when barium, another Croup 2A element, is placed in water? (b) Give the period in which each element (Mg. Ca, and Ba) is found. What correlation do you think you might find between the reactivity of these elements and their positions in the periodic table?arrow_forwardConsider the following data for three binary compounds of hydrogen and nitrogen: %H (by Mass) %N (by Mass) I 17.75 82.25 II 12.58 87.42 III 2.34 97.66 When 1.00 L of each gaseous compound is decomposed to its elements, the following volumes of H2(g) and N2(g) are obtained: H2(L) N2(L) I 1.50 0.50 II 2.00 1.00 III 0.50 1.50 Use these data to determine the molecular formulas of compounds I, II, and III and to determine the relative values for the atomic masses of hydrogen and nitrogen.arrow_forwardThe mass spectrum of CH3Cl is illustrated here. You know that carbon has two stable isotopes, and 13C with relative abundances of 98.9% and 1.1%, respectively, and chlorine has two isotopes, 35a and 37CI with abundances of 75.77% and 24.23%, respectively. (a) What molecular species gives rise to the lines at m/Z of 50 and 52? Why is the line at 52 about 1/3 the height of the line at 50? (b) What species might be responsible for the line at m/Z = 51?arrow_forward
- Chemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning
- Introduction to General, Organic and BiochemistryChemistryISBN:9781285869759Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar TorresPublisher:Cengage LearningChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage Learning