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,…

The pressure on Earth's atmosphere as a function of height y above sea level can be determined by assuming 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 can influence pressure. [Hint: Po = 1.013 x 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 expression for 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 sea level?

The pressure on Earth's atmosphere as a function of height y above sea level can be determined by assuming 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 can influence pressure. [Hint: Po = 1.013 x 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 expression for 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 sea level?