A monatomic gas undergoes the cyclic process shown in the figure below. The temp
ID: 2163923 • Letter: A
Question
A monatomic gas undergoes the cyclic process shown in the figure below. The temperature at point C is -10 C.
(a) What is the NET work done BY the gas during one cycle? 8106 J
(b) What is the total heat input into the gas during one cycle? 18247.45 J
(c) What is the total heat expelled from the gas during one cycle? 10141.45 J
(d) What is the maximum Carnot efficiency for an engine run between the minimum and maximum temperatures for this cycle? 0.8
(e) What is the actual effiency of this engine? 0.44 J
Explanation / Answer
Now the net work is area under the curve 4*40*0.5*1.013*10^5*10^-3=8106J Heat input would be along process AB and AC in AC the heat given would be Cvdelta(PV):- Heat=1.5*4*40*1.013*10^5*10^-3 Heat=6078J See in path AB internal energy change is zero as delta(PV)=0 so work = applied heat work=Net work of cycle+area of rectangle below BC=12169.45J So total heat given is=182747.45J Total heat expelled would be Positive heat-work done=10141.45J Now temperature minimum would be at point A or B Maximum is at the temperature -10 That is equal to -50 1-10/50=0.8 The actual efficiency of engine is=work/positive heat=8106/18247.45=0.44