Question

A gas occupying a volume of 22ft³ and weights 5.88lbf on the moon, where the acceleration of gravity is 5.48ft/s². Determine the mass of the gas in lbm, on Mars, where g=12.86ft/s². ENTER the units

Answer 1

The mass of the gas on Mars is 2.0308 lbm.

Step-by-step explanation:

To determine the mass of the gas on Mars, we can use the relationship between weight, mass, and acceleration due to gravity. On the moon, the weight of the gas is 5.88 lbf. We can convert this to Newtons using the conversion factor 1 lbf = 4.448 N. So, the weight of the gas on the moon is 5.88 lbf * 4.448 N/lbf = 26.1144 N.

Next, we can use the formula weight = mass * acceleration due to gravity to find the mass of the gas on Mars. Plugging in the values, we have 26.1144 N = mass * 12.86 ft/s². Rearranging the equation to solve for mass, we get mass = 26.1144 N / 12.86 ft/s² = 2.0308 lbm. So, the mass of the gas on Mars is 2.0308 lbm.