Solution Found!
Osmium (Os) is the densest element known (density = 22.57
Chapter 1, Problem 76P(choose chapter or problem)
Osmium (Os) is the densest element known (density = 22.57 \(\mathrm{g}/\mathrm{cm}^3\)). Calculate the mass in pounds and in kilograms of an Os sphere 15 cm in diameter (about the size of a grapefruit). See Problem 1.57 for volume of a sphere.
Questions & Answers
QUESTION:
Osmium (Os) is the densest element known (density = 22.57 \(\mathrm{g}/\mathrm{cm}^3\)). Calculate the mass in pounds and in kilograms of an Os sphere 15 cm in diameter (about the size of a grapefruit). See Problem 1.57 for volume of a sphere.
ANSWER:Step 1 of 2
Here we have to calculate the mass of an Os sphere in pounds and in kilogram.
Given:
Density of osmium = 22.57 g/
Diameter = 15 cm
It is known that the volume of sphere is equal to = 4/3
Where r is the radius, can be calculated as r = d/2 = 15/2 = 7.5
It is known that mass can be calculated as mass = volume density
Density is given in the question so in order to calculate the mass we have to find out the volume.
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