Question

Help Pls!

Calculate the average density of a single atom

by assuming that it is a uniform sphere of

radius 137.9 pm and its mass is 5.5 × 10−22 g. The volume of a sphere is 4/3π r3.

Answer in units of g/cm3.

Answer 1

d= 50.23 g/cm³

Step-by-step explanation:

Given data:

radius = 137.9 pm

mass is = 5.5 × 10−22 g

density = ?

Solution:

volume of sphere= 4/3π r³

First of all we calculate the volume:

v= 4/3π r3

v= 1.33× 3.14× (137.9)³

v= 1.33 × 3.14 × 2622362.939 pm³

v= 1.095 × 10∧7 pm³

v= 1.095 × 10∧-23 cm³

Formula:

Density:

d=m/v

d= 5.5 × 10−22 g/ 1.095 × 10∧-23 cm³

d= 5.023 × 10∧+1 g/cm³

d= 50.23 g/cm³