In a certain mountain range, water boils at 92°C. What is the atmospheric pressure under these conditions? The enthalpy of vaporization of water at 100°C is 40.7 kJ/mol. R=8.31J/(K*mol))

Answer 1

I think you want to use the Clausius-Clapeyron equation here.
http://www.science.uwaterloo.ca/~cchieh/cact/c123/clausius.html
Remember that water at 100 C is the normal boiling point with a pressure of 1 atm.