Bb Assignments Phys 212 x LON-CAPA Prob1604.probl... x Mail Makenzie Reutter x C

Question

Bb Assignments Phys 212 x LON-CAPA Prob1604.probl... x Mail Makenzie Reutter x C Physics question I Chegg x physi dak,ed h/G /Chap 16/Prob1604,probl ded%2fndsu%2f 8A2361183b98e New Messages Courses Help Logout Makenzie Reutter v Student section: 01 Physics 211 College Physics I Spring 2016 Main Menu Contents Grades syllabus Feeds Timer Notes Evaluate Feedback Print a Info Course Contents Homework 13 Prob1604 problem done by the gas on its surroundings? If you The temperature of a sample of dilute on gas with n S 6.2 moles decreases by 360 K. If 34 J of heat are extracted from the gas, what is the work use the universal gas constant to solve this problem use 8.31 J/(mol"K) ather than 8.314 J/(mol K). Submit Answer Tries 0/6 Send Feedback Post Discussion BE rill 5:43 PM 4/21/2016

Explanation / Answer

ANSWER

Exercise Information:

n = 6.2 moles

decreases = 360 K

heat =34180 J

gas constant = R = 8.314

Now, apply the Nonflow Energy Equation:

Q = Delta U + WB

WB = Q - Delta U

Q = - 34180 J

Delta U = ( n ) ( Cvm ) ( T2 - T1 )

Cvm = ( 3/2 ) ( R ) for a monatomic gas

Cvm = ( 3/2 ) ( 8.314 J / mol - K ) = 12.511 J / mol - K

Delta U = (6.2 mol ) ( 12.511 J / mol - K ) ( - 360 K )

Delta U = - 27924.552 J

WB = Q - Delta U

WB = ( - 34180 J ) - ( - 27924.552 J ) = - 6255.448 J = - 6.255 kJ   ANS.

Finally, the surroundings do 6.255 kJ of work on the system, since WB is negative.

Regards!!!

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