A compressed gas with a total mass of $107 \mathrm {~kg}$ is stored in a spherical container having a radius of 0.521 m. What is the density of the compressed gas? A)181 kg/m³ B)110 kg/m³ C)134 kg/m³ D)161 kg/m³

Question

Quizplus · Accepted Answer

The volume of the sphere is calculated using the formula $ V = \frac{4}{3} \pi r^3 $. Substituting $ r = 0.521 \, \text{m} $, the volume $ V \approx 0.592 \, \text{m}^3 $. The density is mass/volume, so $ \text{density} = \frac{107 \, \text{kg}}{0.592 \, \text{m}^3} \approx 181 \, \text{kg/m}^3 $.

A Compressed Gas with a Total Mass Of 107 kg107 \mathrm {~kg}107 kg

A Compressed Gas with a Total Mass Of $107 \mathrm {~kg}$