# ps4rev - Statistical Physics I(8.044 Spring 2009 Assignment...

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(c) The energy of a molecule in a three-dimensional gas is E 3 d = KE x + KE y + KE z . Compute the probability density for this quantity, via evaluating another convolution integral. Use your result to compute a E 3 d A . (Express your result in terms of the temperature T , rather than σ .) (d) There is also another way to evaluate the E 2 d or E 3 d probability density. Lets try it out for E 3 d . The probability density for the three random variables v x , v y , and v z is p ( v x ,v y ,v z ) = 1 (2 πσ 2 ) 3 / 2 exp b v 2 x + v 2 y + v 2 z 2 σ 2 B .
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## This note was uploaded on 09/17/2009 for the course PHYSICS 8.044 taught by Professor Krishnarajagopal during the Spring '09 term at MIT.

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ps4rev - Statistical Physics I(8.044 Spring 2009 Assignment...

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