Question

0.06 mol of an ideal diatomic gas held in the apparatus shown to the right is initially uninsulated, at room temperature (290K), and atmospheric pressure. The piston has an initial height of 20cm. i. Masses are slowly added and exert an average force of 1000N as the piston travels a total distance of 10cm. ii. Fixing the pin, a flame is applied to the cylinder. iii. Once the thermal energy of the gas has increased by 593J, the flame is removed, the cylinder is insulated from it's environment, and the masses added in step 1 are removed, and the pin is quickly released 8. (30 points) A 100 cm2 a) Draw a p-V diagram for this cycle- it is not necessary to calculate specific values of the pressure-it's the shape of the cycle that's important. b) Make a table of AEth Q and W (or W.) for each of the the processes in this cycle. c) What is the thermal efficiency of this cycle?

Answer 1

TSocharie froass Adiabatic Ccnve ismot a traiat me) TSothormal Cofression Exbemsion 2 V For frloss 2 AXA =GD X 20 -2000 Cm =2000D XIO 2x163m3 Latm 1013x10 fa Loeigt is atpliedl Fnal fressineforfs 2 PaPt Pressune due to loco N n the Biston 8o 0137105) foDX104 A 1.013 x10 + 1X10S 2.013 X105 Pa (10ox102 Cmoo Contoaime las lorga TE T2290K (frotoss ts isator mal x10ms 1O Cim) O because tere ts mO Change daperatore IM

2 0.06x &31 X 290 X x UnX163 -100.22J AEe tN ( -100-22J -00-22J far plocess 2-3 Simle tm tfio ocess velume is Constnd woak done- AlPxAU -Pxo こ0 ByGasequton PaaaaRERT t is given that or this froocess 593J tdynaies S93 t0 S 93 Py fost lar -S933

Adaatic Fraess thore i no nge ef thoat betoecu Rystem & secor diundIng Frocoss) For frocass 3 Since for excla am adiabntc -0 LOOK dona- lwl= KCVV) for diatondc gas Y4 K w-16-86912x10(x16 FT (+-Y) 14 1-013X105x (X103) 16.868 0.0 -0c4 =161.84 J By ost lae tonnamies AERL AE +161-4 AE 161-84 -10D 223 1o0.22J 5933 5933 161.84J 3-91 -161.84J Net theat draun 100.22 +S93 +o Net weak doney gas W100.22 + 161- 6-623 -492-78 Benet efthclenty of oyelo- 61.62 492.78 0.125 Smet