An ideal gas of molar mass M is located in a uniform gravitational field , whose free fall acceleration is g. a) find the gas pressure as a function of height if p=p0 at sea level (y=0), and the temperature variation with height is given by T= T0 (1-ay). b) assuming To =300 k and a = 2 x 10^(-5) /m estimate the pressure ans temperature atop mount Everest. c) what is lapse rate dt/dy based on the above parameters(in kelvin/km)?