put it in mathematica code plz

Part II [Complete all questions. Complete questions using Mathematica and upload your notebook (.nb)] 1. In the room you are in right now, the composition of the air, excluding water vapour, is these molecules fly around that room is described by the Maxwell-Boltamarn probability distribution, PMB(v)=4(2RTM)3/2v2cT2u2 where M is the molar mass of the gas molecule (in kgmol1 ), R is the ideal gas constant (in Jmol1K1 ), and T is the absolute temperature. The larger the value of Psa(v) the more likely it is that molecules have the speed v, and the smaller the value of Ps(v) the less likely molecules have the speed v. (a) Estimate the temperature in your room, T. Plot the Maxwell-Boltzmann distributions for the N2,O2 and Ar molecules in your room. Choose the appropriate range of v. (6 pts) (b) Plot the Maxwell-Boltzmann distribution for all the gas molecules combined. ( 5 pts) (Hint: For a half-and-half mixture of gas A and B, the total probability density would be P=21PA+21PB ) (c) Just before a gas molecule hits you in the face, at what speed is it most likely to be travelling: i. if it ihs N2 molecule? ( 2 pts) ii. if it is a O2 molecule? (2 pts) ii. if it is a Ar molecule? (2 pts) iv. if it is any molecule? (2pts) (d) What speed is equally probable whether it is N2 or O2 ? (5 pts) (e) Show how the Maxwell-Boltzmann distribution differs between N2 and the combination of all three gases. At what speed do they differ the most? ( 6pts)