2. Atmosphere of an exoplanet. The exoplanet TOI 270b has a mass of approximately 1.58 ME and a radius of 1.2 RE, where ME and RE are the mass and radius of the Earth. Its semi-major axis from its star is 0.0306 AU. Its star has a luminosityr 0.017 times the luminosity of the Sun. Here, luminosity is in the unit of Watts. (b) If the atmosphere is composed entirely of carbon dioxide, what is the scale height at a temperature of Teq? [c] If the planet's atmosphere has a uniform temperature of Teq, at what altitude does atmospheric density reach one tenth of its surface value? [d] Now assume TOI 270b's atmosphere follows a dry lapse rate until the tropopause, which you can assume occurs at pressure 0.1 bar and temperature 0.8Teq. The atmosphere above the tropopause is isothermal and the surface pressure is 1 bar. List the steps you would take to compute the vertical temperature profile (1' as a function of z} from the surface to 40 km with a computer program. You may take the specific heat capacity of carbon dioxide to be cp : 900 J/kg/K