As measured by NASA's Viking landers, the atmosphere of Mars, where g = 3.71 m/s, is...

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As measured by NASA's Viking landers, the atmosphere of Mars, where g = 3.71 m/s, is almost entirely carbon dioxide, and the surface pressure averages 700 Pa. The temperature is cold and drops off exponentially: T Te, where C 1.3E-5 m and T. 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. As measured by NASA's Viking landers, the atmosphere of Mars, where g = 3.71 m/s, is almost entirely carbon dioxide, and the surface pressure averages 700 Pa. The temperature is cold and drops off exponentially: T Te, where C 1.3E-5 m and T. 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.

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