Answered: A metal has atoms with a radius of 156…

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...

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Question

A metal has atoms with a radius of 156 pm. It crystallizes in a body-entered cubic unit cell. It has a density of 7.74 g/cm³. Calculate the molar mass of the metal in g/mol.

Expert Solution

Step 1

We know the expression of density for solid is,

d= (Z × M)/a³.N_A

d= density of solid=7.74 g/cm³

Z=number of atoms in bcc=2.

M=Molar mass of metal solid.

a=radius of atoms=156 pm=156×10^-10cm

N_A=Avogadro number=6.022×10²³

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