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liraira [26]
3 years ago
15

Osmium (Os) is the densest element known (density =22.57 g/cm^3). Calculate the mass in pounds and in kilograms of an Os sphere

15 cm in diameter (about the size of a grapefruit) (volume of a sphere of radius r is 4/3Ïr^3).
Chemistry
1 answer:
Amiraneli [1.4K]3 years ago
7 0

<u>Answer:</u> The mass of osmium in kilograms and in pounds are 318.9141 kg and 703.085 pounds.

<u>Explanation:</u>

To calculate the volume of sphere, we use the formula:

V=\frac{4}{3}\pi r^3

where,

r = radius of sphere

We are given:

Radius of osmium = 15 cm

Volume of osmium = \frac{4}{3}\times 3.14\times (15)^3=14130cm^3

Density of osmium = 22.57g/cm^3

To calculate mass of a substance, we use the equation:

Density=\frac{Mass}{Volume}

Putting values in above equation, we get:

22.57g/cm^3=\frac{\text{Mass of osmium}}{14130cm^3}\\\\\text{Mass of osmium}=318914.g

To convert the given mass into kilo grams and pounds, we use the conversion factors:

1 kg = 1000 grams

So, 318914.1g=318914.1g\times \frac{1kg}{1000g}=318.9141kg

And,

1 pound = 453.592 g

So, 318914.1g=318914.1g\times \frac{1pound}{453.592g}=703.085pounds

Hence, the mass of osmium in kilograms and in pounds are 318.9141 kg and 703.085 pounds.

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