Question

A gas occupying a volume of 32ft³

and weights 4.06lbf on the moon, where the acceleration of gravity is 5.42ft/s . Determine the density, in lbm/ft³ , on Mars, where g=12.83ft/s²

Answer 1

To determine the density on Mars, you need to calculate the mass of the gas on the moon and then use the density formula: density = mass/volume.

Step-by-step explanation:

To determine the density on Mars, we need to use the formula density = mass/volume.

First, let's find the mass of the gas on the moon.

Since weight = mass * acceleration due to gravity, we can rearrange the formula to calculate the mass: mass = weight / acceleration due to gravity.

mass = 4.06 lbf / 5.42 ft/s² = 0.75 lbm.

Next, we can use the density formula to find the density on Mars: density = mass / volume.

density = 0.75 lbm / 32 ft³ = 0.0234375 lbm/ft³.

Therefore, the density on Mars is approximately 0.0234375 lbm/ft³.