Question

density of a liquid was found to be 1.05 g / cm^3, what will be the density of liquid in lb / gallons. (1 gallon = 3.78 l and 1 kg = 2.2 lb) 8.73 lb/g 9 lb/g 8.7 lb/ g 8.7318 lb/g

Explanation:

Step1: Convert \( g/cm^3 \) to \( kg/L \)

We know that \( 1\ g/cm^3 = 1\ kg/L \) (since \( 1\ kg = 1000\ g \) and \( 1\ L = 1000\ cm^3 \)), so \( 1.05\ g/cm^3 = 1.05\ kg/L \).

Step2: Convert \( kg/L \) to \( lb/Gallon \)

First, convert \( kg \) to \( lb \): \( 1\ kg = 2.2\ lb \), so \( 1.05\ kg/L = 1.05\times2.2\ lb/L \).
Then, convert \( L \) to \( Gallon \): \( 1\ Gallon = 3.78\ L \), so \( 1\ L=\frac{1}{3.78}\ Gallon \).
So the density in \( lb/Gallon \) is \( 1.05\times2.2\div\frac{1}{3.78} \).
Calculate \( 1.05\times2.2 = 2.31 \), then \( 2.31\times3.78 = 8.7318 \).

Answer:

8.7318 lb/G