Consider the following thermodynamic cycle for an ideal gas: From A to B the gas is compressedadiabatically. From B to C heat Qh is added to the gas and the gas is kept at constant volume.From C to D the gas expands adiabatically. From D to A the gas ejects heat Q₁ to the environmentand is kept at constant volume.(1) Draw the PV-diagram associated to this cycle.(2) Show that the efficiency of an engine running this cycle is given by e = 1 -(3) Calculate the efficiency for a compression ratio VA/VB = 8 assuming a diatomic gas. [Hint: fora diatomic gas Cv = (5/2)R.]

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Consider a monatomic ideal gas operating through the Carnot cycle. The initial volume of the gas is V1 = 160 × 10-3 m3. During the isothermal compression step, the volume of gas is reduced by a factor of 4. In the adiabatic heating step, the temperature of the gas is doubled. What is the volume at point 3, in cubic meters? a. During the isothermal compression step, the volume of gas is reduced by a factor of 4. In the adiabatic heating step, the temperature of the gas is doubled. What is the volume at point 3, in cubic meters? b. What is the volume at point 4, in cubic meters?
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