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Converting g/cm3 to lb/ft3?

I have searched extensively online and reviewed my chemistry and physics textbooks, but I still cannot find a clear conversion factor to convert grams per cubic centimeter (g/cm³) to pounds per cubic foot (lb/ft³). Every time I attempt the conversion, I end up with different results, and it’s driving me CRAZY! If someone could provide a clear explanation of the conversion factor, I would greatly appreciate it.

Additionally, I am trying to determine the number of moles of lead sulfide (PbS) in 1.00 ft³, given a density of 7.46 g/cm³. I know how to calculate the number of moles of the compound, but would I simply convert 7.46 g/cm³ to lb/ft³ and then use that value to find the moles of PbS? I’m not entirely sure if that’s the correct approach, so any guidance would be very helpful! Thank you!

5 Answers

A
Anonymous

Feb 17, 2025

g/cm^3 to lb/ft^3:

(1 grams/cm^3) * (1 lb / 453.6 grams) * (1 cm^3 / 3.531*10^-5 ft^3) = 62.5 lb/ft^3 is the answer.

Other question:

density = mass / volume

7.46 grams/cm^3 = mass / 1.00 ft^3

7.46 grams/cm^3 = mass / 28317 cm^3

mass = 211245 grams PbS

moles PbS = (211245 grams PbS) * (1 mol PbS / 239.3 grams PbS) = 882.76 mol PbS is the answer.

A
Anonymous

Dec 13, 2024

if you’re trying to find the moles of a particular substance, it’s best to just figure out the amount of PbS in grams rather than pounds.

1 ft3 = 28316.846592 cm3 (yes it is a MASSIVE number)

multiply this with the density of 7.46 g/cm3…….you’ll get the total grams of PbS

then to figure out the moles, you simply divide the number you get above with the mass of PbS which is 239.26 grams.which is the answer!

but if you’re curious the conversion of g/cm3 > lb/ft3 is as follows

(g/cm3) x (1cm3/3.531×10^-5 ft3) x (0.0022 lbs/1 gram)

note how the grams cancel out and so do the cm3’s. and you’re left with lbs/ft3

A
Anonymous

Dec 20, 2024

g = lb /454

cm^3 = ft^3/ (30.5)^3

–> g/cm^3 = ( lb /454 )* (30.5^3 / ft3)

= 62.49 lb/ ft^3 (use this result as default)

Ex: 19.3 g/cm^3

= 19.3 * 62.49 lb/ft^3

= 1206.15 lb/ft^3

d = 7.46 g/ cm3 = 7460 g/ L

Molarity PbS : 7460 / 239 = 31.21 M

=> Mole of PbS is 32.21 * 28.4 = 913.9 mol

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