# MOST PROBABLE VELOCITY Starting from the Maxwell-Boltzman equation derive the most probable velocity. Del N=Del v * N * v sq. SGH(21pi) (mlkT)”3l2…

(5d1) Hi, I don’t know how to answer question 1, can you please help me understand most probable by answering it? Thank you very much! Including a graph would be appreciated very much!

1. MOST PROBABLE VELOCITYStarting from the Maxwell-Boltzman equation derive the most probable velocity. Del N=Del v * N * v sq. SGH(21pi) (mlkT)“3l2EXP(-mv sq I 2kT) 2. BOILED MISSIONARY A missionary is to be boiled in a large pot of water in themorning. To conserve fuel the water is to be heated by 550 Kg of usedcannon balls heated to 560 degrees centigrade on a nearby volcano. Heexpects to be put in 680 Kg of water at 20 degrees. How many Kg of icemust he hide in the pot to keep the final temperature down to 46degrees? Ignore the heat capacity of the pot and missionary. Heat offusion of ice = 79 caligm. Specific heat of iron = 0.1 calIgm deg C 1000*{550*(560-46}*.1-680*(46-20))l(1000*(79+46))A. 19.7, B. 37.6, C. 52.2, D. 72.1, E. (84.7) 3. CONCENTHIC HEATHeat is conducted along a two piece metal rod. The inner part is a solid cylinder with cross section area A equal .059 m sq. , k=.1 watts m/m sq. K. The outer part is a concentric hollow cylinder incontact with the inner part. A = .01 m sq., k=.34 watts mlm sq. K.The length is two m, the temperature difference is 2500. How many watts are transfered along the rod? (.059*.1+.o1*.34)*125A. .12. a. .624, c. (1.16), o. 22.5, E. 53.1 4. ISOTHERMShow that the work done expanding an ideal gas along an isotherm is given by: H=nHT ln(V2lV1). 5. TRIANGLE CYCLEAn engine uses a cycle with three parts: (1) An isotherm at 430 c going from a volume of 9.2 times 4 liters to 4 liters, (2) An isobargoing from the high pressure side of the isotherm, (3) An isometricside going down from the high volume and of the isobar to the low pressure end of the isotherm! Find the % efficiency for 20 moles of —._.4__.___|-_n___ﬂ_-_-J_L._.J_Ldnnnn_r—

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