The ‘barometric formula’, p = p 0 e –a/H , where H = 8 km, gives the dependence of the pressure p on the altitude, a; p0 is the pressure at sea level, assumed to be 1 atm. Use this expression together...

The ‘barometric formula’, p = p₀e^–a/H, where H = 8 km, gives the dependence of the pressure p on the altitude, a; p0 is the pressure at sea level, assumed to be 1 atm. Use this expression together with the Clausius–Clapeyron equation to derive an expression for how the boiling temperature of a liquid depends on the altitude (Hint: The boiling point is when the vapour pressure is equal to the external pressure.) Use your result to predict the boiling temperature of water at 3000 m. The normal boiling point of water is 373.15 K and you may take that the standard enthalpy of vaporization as 40.7 kJ mol⁻¹.