Question

The density of ethanol is 0.789 g/cm³. What is the density of ethanol in lb/in³? (Note: 1 lb = 453.6 g and 1 in = 2.54 cm)

A. 0.045 lb/in³
B. 0.056 lb/in³
C. 0.071 lb/in³
D. 0.098 lb/in³

Answer 1

The density of ethanol in lb/in³ is 0.056 lb/in³.

Step-by-step explanation:

The density of ethanol is 0.789 g/cm³. To convert this to lb/in³, we need to convert grams to pounds and centimeters to inches. The conversion factors given are:

• 1 lb = 453.6 g
• 1 in = 2.54 cm

To convert g/cm³ to lb/in³, we can use the following steps:

1. Convert g/cm³ to lb/cm³ by dividing by 1 lb/453.6 g.
2. Convert lb/cm³ to lb/in³ by multiplying by (2.54 cm/in)³

Let's calculate:

0.789 g/cm³ × (1 lb/453.6 g) × (2.54 cm/in)³ = 0.056 lb/in³

Therefore, the density of ethanol in lb/in³ is 0.056 lb/in³, which corresponds to option B.