Question

1.) In lecture, we developed the Maxwell-Boltzmann distribution given as: P(v)dv = 47 (2,16)"exp(-mv7/2kyn) v?dv Explicitly derive the following: a.) Show that this distribution is normalized. b.) For helium atoms at 500 K, use the error function in order to calculate the fraction of particles traveling in the range of 1500 m/s to 2000 m/s. c.) Produce an expression for <Vavy. (Note: Not the root square average as presented in lecture.) d.) Transform this distribution into a distribution in energy using E-V mv. e.) In lecture, we used the distribution above in order to find the average kinetic energy. Use the energy distribution produced in d.) in order to find the same result. Note: You will need to make the substitution: x = f.) From the <Vavy?> result produced in lecture, calculate the average pressure exerted by He atoms in a 1 dm volume container.

Answer 1

The pages have been marked at the bottom right side as 1 and 2. Try n solve the numericals on your own by just putting the values provided. If you still get stuck, leave a comment. Don't forget to give a rating!
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