As measured by NASA's Viking landers, the atmosphere of Mars, where g≈3.71 m/ s2,is almost entirely carbon dioxide, and the surface pressure averages 700 Pa. The temperature is cold and drops off exponentially: T ≈T0 e-Cz where C = 1.3E-5 m -1 and T0= 250 K. For example, at 20,000 m altitude, T≈ 193 K. (a) Find an analytic formula for the variation of pressure with altitude, (b) Find the altitude where pressure on Mars has dropped to 1 pascal.