Question

Answer the following questions:Show all your work. Include formulae and units! EVERY TIME! Be sure to include meaningful,relavant diagram Don't try to squeeze everythingWrite down any formula used before plugging any numbers into it.

1.Eleven grams of Argon gas is used as the operating gas in a Carnot engine (an engine that uses the Carnot cycle to do work.The specifics of the cycle are:

a.The initial temperature of the gas is 300 K.

b.During the isothermal expansion, the volume of the gas increases from 0.0066 m³ to twice that volume.

c.During the adiabatic expansion, the gas temperature decreases to 200 K.

d.During the isothermal compression, the volume of the gas decreases from 0.0150 m³ to 0.0127 m³.

e.The adiabatic compression then takes the gas back to its initial state.

Note: The 2 temperatures given above are the operating temperatures of the Argon, NOT the temperatures of the reservoirs!

From this information determine:

I) The amount of energy that the engine absorbs from the hot reservoir during one complete cycle.

II) The amount of energy expelled to the cold reservoir for each cycle.

III) The net amount of work done by the engine per cycle.

IV) The engine

Answer 1

1) the amount of energy absorbed by the engine Q₁= 2.303nRTlog₁₀(V₂ / V₁)

                                                                      Q₁ = 2.303*.3*8.314*300*log₁₀2

                                                                      Q₁= 518.7 J

2)                                                                   Q₂ = -2.303nRTlog₁₀( V₃ / V₄ )

                                                                       Q₂ = 82.6J

3)                      work done per cycle W = Q₁-Q₂

                                                         W =436.1J

4) effiency of the engine        = W /Q₁

                                                       = 84%