One this problem, please tell me what is going on each step ofthe PV Diagram. (i
ID: 1733118 • Letter: O
Question
One this problem, please tell me what is going on each step ofthe PV Diagram. (ie: F to A, A to I, I to B, etc. ---as in ifwork is do on the gas, increase in temp. etc.) This problem is sort of rated: What formula do you use? I tried using theKineticaverage formula for ideal gases (containsBoltzmann's Constant) but got no answer near. Thanks for your time!Explanation / Answer
(1): SOLUTION ----> Choice( C ) "(Internal Energy) Are Equal" Internal Energy is aState Function, and therefore depends onlyon beginning and stopping points, not on path taken. The change in Internal Energy "U" will always be the same between 2 given points for any path between the points. {IA} = {No Work, System Cooled, U & TDecrease} {AF} = {Work Done By Gas, Heat Input, U & T Increase} {IF} = {Work Done By Gas, No Other Info Known} {IB} = {Work Done By Gas, Heat Input, U & T Increase} {BF} = {No Work, System Cooled, U & T Decrease} (2): SOLUTION ----> Choice( D ) "2*E" Total Kinetic Energy for "n"moles of Ideal Gas is given by formula {(3/2)*n*R*T}. Therefore, averageKinetic Energy per molecule is linearly proportional to temp"T". Since there are Avogadro'snumber (N_a) of molecules per mole of Ideal Gas, we have: {Average Kinetic Energy Per Molecule} = = {Total Kinetic Energy In"n" Moles}/{# Molecules In "n"Moles} = {Total KineticEnergy In "n" Moles}/{n*(N_a)} = {(3/2)*n*R*T}/{n*(N_a)} = (3/2)*R*T/(N_a) .
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