The density of methane at 0 degree Celsius and 1 atm pressure is 0.668g/L. If 1 lb is equal to 454 grams, 1 L is equal to 1000cm3 and 1 inch is equal to 2.54 cm, what is the density in pounds per cubic inch

Respuesta :

The value of density in the required units is [tex]\rm \rho = 2.4\times 10^{-5} lb/in^{3}[/tex]

What is Density ?

Density, mass of a unit volume of a material substance. The formula for density is

d = M/V

where d is density, M is mass, and V is volume.

Density is commonly expressed in units of grams per cubic centimetre.

In the given question

Density given is 0.668 g/L

1 lb = 454grams.

1L = 1000 cm³

1 inch = 2.54 cm

Density in pounds per cubic inch =

[tex]\rm \rho = 0.668 \times \dfrac{(1 \;lb)(1 grams)}{454\; grams}\times \dfrac{(1 L)(2.54)^{3}(1 cm^{3})}{1000cm^{3}(1\;L)(1 in^{3})}[/tex]

[tex]\rm \rho = 2.4\times 10^{-5} lb/in^{3}[/tex]

Therefore the value of density in the required units is [tex]\rm \rho = 2.4\times 10^{-5} lb/in^{3}[/tex].

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