Please help During the compression stroke of a certain gasoline engine, the pres

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During the compression stroke of a certain gasoline engine, the pressure increases from 1.00 atm to 19.0 atm. The process is adiabatic and the air-fuel mixture behaves as a diatomic ideal gas. By what factor does the volume change? Vfinal = Vinitial By what factor does the temperature change? Tfinal = Tinitial Assume the compression starts with 0.016 mole of gas at 26.5degreeC. Find the value of Q that characterizes the process. J Find the value of Delta Eint that characterizes the process. J Find the value of W that characterizes the process. J

Explanation / Answer

a. (PiVi)^r = (Pfvf)^r

Vf/Vi = (Pi/Pf)^(1/r) = (1/19)^(1/1.4) = 0.122

b. Tf/Ti = (Pf/Pi)(Vf/Vi) = (19)(0.122) = 2.32

c. Since adiabatic hence Q = 0

d. y = 1.4 Cv = 5/2

delta T = 2.32Ti - Ti = 1.32Ti

delta E = nCv delta T = (0.016)(5*8.413/2)(1.32*299.5)

= 131.47 J

e. W = -Q + delta E = 0+131.47 = 131.47 J

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