Question

A commonly used unit of mass in the English system is the pound-mass, abbreviated lbm, where 1 lbm = 0.454 kg. What is the density of glycerine in pound-mass per cubic foot? (Assume the density of glycerine is 1.26 ✕ 103 kg/m3.)

Answer 1

Answer: The density of glycerine will be $0.028lbm/foot^3$

Explanation:

Density is defined as the mass contained per unit volume.

$Density=\frac{mass}{Volume}$

Given:

Density of glycerine= $1.26\times 10^3kg/m^3$

1 lbm = 0.454 kg

1 kg =$\frac{1}{0.454}=2.2lbm$

Thus $0.454kg=\frac{2.2}{1}\times 0.454=0.99$

Also $1m^3=35.3147foot^3$

Putting in the values we get:

$Density=\frac{0.99lbm}{35.3147}=0.028lbm/foot^3$

Thus density of glycerine will be $0.028lbm/foot^3$