a) Use a computer to plot the Maxwell-Boltzmann speed distribution for H (ydrogen) in the Mars atmosphere for a T=140K at a height of 100km. Label the axes appropriately. b) Compute cp,crms and cesc and indicate these velocities on your graph. RMars=3390km,MMars=6.421023kg. c) Compute the escape parameter, X=(cpcesc)2, and then estimate the escape time by consulting the escape time graph in Prlss. d) Compute besc, the portion of H atoms with a speed, ccesc [you can use the series expansion for erf(x)]. e) The atmosphere of Mars is 95%CO2. Compute X=(cpcesc)2 for CO2 (at h=100km ) and estimate whether the escape time is smaller or larger than the age of the solar system of 4.5 billion yr? f) Estimate besc, the portion of CO2 molecules with a speed, ccesc (an order-of-magnitude estimate is fine)