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## Homework Statement

Assume that at sea-level the air pressure is 1.0 atm and the air density is 1.3 kg/m3.

What would be the height of the atmosphere if the air density decreased linearly to zero with height?

## Homework Equations

P = ρgh

## The Attempt at a Solution

Really not sure how to approach this. I've made density a function of height: ρ(h) = 1.3-1.3/h and I integrated this from 0 to h(max) so it now becomes 1.3 - 1.3ln(h), but where do I go from here?