The pressure on Earth's atmosphere as a function of height y above sea level can be determined byassuming g to be constant and that the density of air is proportional to the pressure, i.e., px P.Note that this assumption is not very accurate since temperature and other weather effects caninfluence pressure. [Hint: Po = 1.013 × 105 N/m², po = 1.29 kg x m-³](1) Start by finding a relation between the pressure Po and the density of air po at 0° at sea level(y=0) and the pressure P and density p at height y. Using this relation find an expressionfor p as a function of P, i.e., p = p(P).(2) Find the pressure as a function y.(3) At what altitude above sea level is the atmospheric pressure equal to half the pressure at sealevel?

The air density is proportional to the pressure which means,…

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