Sketch a PV diagram and find the work done by the gas during the following stage

Question

Sketch a PV diagram and find the work done by the gas during the following stages. (Draw the PV diagram on paper. Your instructor may ask you to turn in this work.) A gas is expanded from a volume of 1.0 L to 3.4 L at a constant pressure of 3.1 atm. J The gas is then cooled at constant volume until the pressure falls to 2.2 atm. J The gas la then compressed at a constant pressure of 2.2 atm from a volume of 3.4 L to 1.0 L. [Note: Be careful of the signs.] J The gas is heated until Its pressure increases from 2.2 atm to 3.1 atm at a constant volume. J Find the net work done during the complete cycle. Your response differs from the correct answer by more than 10%. Double check your calculations. J A quantity of a monatomic ideal gas undergoes a process in which its pressure is increased by a factor of n = 5 and its volume is increased by a factor of m = 4 as shown in Figure P12.12. What is the heat absorbed by the gas during this process? (Hint: See Problem 1. Answer i

Explanation / Answer

workdone = area under the curve=1/2*(n-1)(m-1)p*v+(m-1)v*p in b m=1 because volume is constant workdone =0 by substituting in the above eqn in a p=3.1atm=3.1*101.325kpa=314.10 kpa ,n=1 pressure is constant m=3.4, substitute in above eqn workdone=(m-1)v*p=(3.4-1)*1*314.10=753.858=754J in case of c it is opposite so it is -754J in case of d m=1 n=3.1/2.2=1.4 substitute above eqn at constant volume workdone is always zero when volume is constant

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