A metal with molar mass = 102.91 g/mol crystallizes in a face-centered cubic lattice with an edge length of 380.1 pm. What is its density? A. 0.777 g/cm³ хов.3.11 g/cm3 C. 1.55 g/cm3 D. 6.22 g/cm3 E. 12.4 g/cm3

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
A metal with molar mass =
102.91 g/mol crystallizes in a face-centered cubic lattice with an edge length of 380.1 pm. What is its density?
A. 0.777 g/cm3
B. 3.11 g/cm3
O C. 1.55 g/cm3
D. 6.22 g/cm3
E. 12.4 g/cm3
Transcribed Image Text:A metal with molar mass = 102.91 g/mol crystallizes in a face-centered cubic lattice with an edge length of 380.1 pm. What is its density? A. 0.777 g/cm3 B. 3.11 g/cm3 O C. 1.55 g/cm3 D. 6.22 g/cm3 E. 12.4 g/cm3
Expert Solution
Step 1) Given that

Given that :-

    Molar mass = M = 102.91 g/mol

    Edge length = a = 380.1 pm

       { but 1 pm = 10-12 m }  & { 1m = 100 cm}

     Edge length = a = 380.1 × 10-¹² (100cm) 

     Edge length = a = 380.1 × 10-10cm

     Edge length = a = 3.801 × 10-8cm

    Metal form FCC lattice

    Number of Particles = Z = 4

    Avogadro Number = N = 6.022 × 10²³

    

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Crystal Lattices and Unit Cells
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
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY