Estimate the boiling point of water in Leadville, Colorado, elevation 3170 m.
To do this, use the barometric formula relating pressure and altitude:
\(P=P_{0} \times 10^{-\mathrm{Mgh} / 2.303 \mathrm{RT}} \quad(\text { where }
P=\text { pressure } \mathrm{in}\)
atm; \(P_{0}=1 \mathrm{atm} ; g=\) acceleration due to gravity; molar mass of
air, \(M=0.02896 \mathrm{kg} \mathrm{mol}^{-1} ; \quad R=\)
\(8.3145 \mathrm{Jmol}^{-1} \mathrm{K}^{-1} ;\) and \(T\) is the Kelvin
temperature). Assume the air temperature is \(10.0^{\circ} \mathrm{C}\) and that
\(\Delta H_{\text {vap }}=41 \mathrm{kJ} \mathrm{mol}^{-1} \mathrm{H}_{2}
\mathrm{O}\)