Chemistry - Thermodynamics - 1 Question with Solution | TestHub

A cloud mass moving across the ocean at an altitude of 2000 m encounters a coastal mountain range. As it rises to a height of 3500 m to pass over the mountains, it undergoes an adiabatic expansion. The pressure at 2000 m and 3500 m is 0.80 and 0.60 atm , respectively. If the initial temperature of the cloud mass is 290 K , what is the cloud temperature (in K ) as it passes over the mountains? Assume that ${\mathrm{C}}_{\mathrm{P}.\mathrm{m}}$ for air is $29.88{\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}$ and that air obeys the ideal gas law.

($R=8.3J{K}^{-1}mo{l}^{-1}$, $log2=0.30$, $log3=0.48$, $30\times log0.92=-1$)