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`

Step-by-step explanation:

Density is defined as the mass contained per unit volume.

`Density=(mass)/(Volume)`

Given:

Density of glycerine=
`1.26* 10^3kg/m^3`

1 lbm = 0.454 kg

1 kg =
`(1)/(0.454)=2.2lbm`

Thus
`0.454kg=(2.2)/(1)* 0.454=0.99`

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

Putting in the values we get:

`Density=(0.99lbm)/(35.3147)=0.028lbm/foot^3`

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