Question

The density of helium is 0.164 kg-m-3. What is this density in Ib-ft3? 1 kg = 2.20 lb and 1 m = 3.28 ft (A) 0.0102 1b-f-3 (B) 0.110 16•f-3 (C) 1.1816-f-3 (D) 12.7 16-f-3

Answer 1

The density of helium 0.164 kg/m³ is converted to pounds per cubic foot using dimensional analysis to obtain 0.0102 lb/ft³, which corresponds to answer choice (A).

Step-by-step explanation:

The question is asking to convert the density of helium from kilograms per cubic meter (kg/m³) to pounds per cubic foot (lb/ft³).

Given a density of helium as 0.164 kg/m³, and the conversion factors that 1 kg equals 2.20 lb, and 1 m equals 3.28 ft, we can perform the conversion using dimensional analysis.

First, convert the mass from kilograms to pounds:

0.164 kg/m³ × (2.20 lb/kg) = 0.3608 lb/m³

Next, convert cubic meters to cubic feet:

(3.28 ft/m)³ = 35.29 ft³/m³

So, the final conversion is:

0.3608 lb/m³ × 1 m³/35.29 ft³ = 0.0102 lb/ft³

Therefore, the correct answer is (A) 0.0102 lb/ft³.