What is the mass in pounds of 1 cubic foot of osmium if density is 22.5 g per cm3?

Answer 1

A sample of ascorbic acid (vitamin C) is synthesized in the laboratory. It contains 1.50g of carbon and 2.00g of oxygen. Another sample of ascorbic acid is isolated from citrus fruits contains 6.35g of carbon. How many grams of oxygen does it contain? Which law are you assuming in answering this question?

Answer 2

First you need to know what a cubic foot is when measured in cm3

1 foot = 30.5cm, so 1 cubic foot = (30.5cm)3 = 28373cm3

If Osmium has a density of 22.5g for each 1cm3, then all you need to do is to multiply the density by the number of cm3

22.7 g/cm3 x 28373 cm3

=644058g or approximately 644 Kg

(feel free to ignore this bit: As an aside, note that, in the last multiplication, you can use the units to check your calculation - in this case, cm3 x g/cm3 = g. This is called dimensional analysis, and is incredibly useful if you're ever unsure if you have used the wrong equation.

For example, if you had mistakenly divided the volume by the density, your units would become:

cm3 / (g/cm3) = cm6/g,

which plainly makes no sense and would indicate that the method you have used is wrong)

Answer 3

• volume=(1.500cm)^3=3.375cm^3
• density=mass/volume=76.31g/3.375cm^3=22.61g.cm^-3

Answer 4

density=mass/volume

volume of osmium= (1.5)^3 cm^3 = 3.375 cm^3

mass of osmium=76.31 g

density= 76.31 g/ 3.375 cm^3= 22.61 g/cm^3

Answer 5

mass divided by volume is the density. 76.31g/(1.5cm3*1.5cm3*1.5cm3) = 22.5g/cm-3