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A pure silver sphere has a radius of 0.886 cm. How many silver atoms does it contain?

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 104P Chapter 6

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 104P

A pure silver sphere has a radius of 0.886 cm. How many silver atoms does it contain? (volume of a sphere = 𝜋r3; density of silver = 10.5 g/cm3)

Step-by-Step Solution:

Solution 104P

Step 1:

Given :

Radius of pure silver sphere = 0.886 cm

Density of silver = 10.5 g/cm3

volume of a sphere =  

Number of silver atoms, the sphere contains = ?

First, let’s find the volume of the sphere :

        =

        =(0.886 cm)3

        = 2.914 cm3.

We have the density and volume, let’s calculate the mass of the silver using the density formula :

                 =

                m = V

           

                     m = 30.59 g

Therefore the mass of the silver in the sphere is 30.59 g.

Step 2 of 2

Chapter 6, Problem 104P is Solved
Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

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A pure silver sphere has a radius of 0.886 cm. How many silver atoms does it contain?