Chapter 6, Problem 117IAE

We have noted that atmospheric pressure depends on altitude. Atmospheric pressure as a function of altitude can be calculated with anequation known as the barometric formula:

   $P=P_0\times {10}^{-Mgh/2.303RT}$

In this equation, P and P₀can be in any pressure units, for example, Torr.P₂is the pressure at sea level, generally taken to be 1.00 atm or isequivalent. The units in the exponential term must be SI units, however. Use the barometric formula to
a. estimate the barometric pressure at the top of Mt.Whitney in California (altitude: 14,494 ft; assume a temperature of 10 °C);
b. show that barometric pressure decreases by one-thirtieth value for every 900-ft increase in altitude.