1. In 2019, a team of climate scientists, Tom Matthews and Baker Perry, installed a weather station a few hundred meters below the summit of Mount Everest at an altitude of 8,430 m above sea level (popularly known as Balcony weather station). You can find more information about the weather station installation at the following link: (15 marks) https://www.nationalgeographic.com/environment/article/perpetual-planet-next-gen-weatherstation-installed-near-everests-summit (a) On 18 September 2019 at noon, the weather station measured the temperature of -17.89 0C and the pressure of 359 hPa. Assuming the air is dry at the altitude of the weather station, calculate the air density. (3 marks) (b) Given the density of water vapour is 4.770 x 10-3 Kg/m3 , if the air is saturated, what is the total pressure exerted by a mixture of the dry air and water vapour at the Balcony weather station? (3 marks) (c) Using the average observed temperature lapse rate of the troposphere on Earth: (i) Calculate the estimated air temperature at the summit of Mount Everest (8,848 m above sea level). (2 marks) (ii) Calculate the estimated air temperature at the Mount Everest Base Camp (5,364 m above sea level). (2 marks) (d) State the pressure (in hPa), temperature (in 0C)