Question

the density of atmosphere (measured in kilograms/meter3) on a certain planet is found to decrease as altitude increases (as measured from the planet's surface). what type of relationship exists between the altitude and the atmospheric density, and what would the atmospheric density be at an altitude of 1,291 kilometers?

Answer 1

Answer

As the density of atmosphere (measured in kilograms/meter3) on a certain planet is found to decrease as altitude increases (as measured from the planet's surface). Therefore inverse relationship exists between the altitude and the atmospheric density,

we know that

on planet earth, when height is less than 36512km we use following formula to determine the density

$density= pressure/(1718\times(59-.00365height+459.7)$

therefore density at height=1,291 kilometers is given as

$[tex]density=\frac{pressure}{(1718\times(59-(.00365\times 1291)+459.7)}\\ density=\frac{pressure}{(1718\times(59-4.71+459.7)}\\density=\frac{pressire}{883031.1263}$[/tex]

Answer 2

The type of relationship between atmospheric density and altitude is therefore inverse relationship. This means an increase in either will decrease the other factor. Density is mass per unit volume, it is difficult to calculate with only altitude 1,291 kilometers given. Else, we could also use temperature and pressure to solve density but they are not provided.