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An isothermal atmosphere layer with temperature T starts at altitude h 1 , where the pressure is p 1 . In this problem, use a

An isothermal atmosphere layer with temperature T starts at altitude h1, where the pressure is p1. In this problem, use a non-constant gravitational acceleration,
g(h)=g0(ReRe+h)2,
where g0 is the acceleration at h=0, and Re is the radius of the Earth. Assume an ideal gas, p=RT.
a) Determine the pressure p2 at another altitude h2>h1 in the same layer.
b) Show that when h1,h2Re, your expression in the previous part reduces to the expression in Section 3.2.4 of the notes.
c) Assume that the entire atmosphere is isothermal at T=250K. Write a code that computes and plots the pressure for altitudes 0h100km, using both a constant and variable gravitational acceleration. Use a log scale for the pressure (semilogx),g0=9.80665ms2,R=287.053Jkg.K,p0=101325Nm2, and Re=6371km. Include the plot in your submission and discuss the differences.
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