Show that the work done during one complete Carnot cycle is given by Work_cycle = -(qh + qc)
Added by Luis M.
Step 1
During the isothermal expansion at the hot temperature Th, the work done by the gas is given by: W_h = q_h Show more…
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(II) $(a)$ Show that the work done by a Carnot engine is equal to the area enclosed by the Carnot cycle on a $P V$ diagram, Fig. $7 .$ (b) Generalize this to any reversible cycle.
Determine the efficiency of a Carnot cycle engine that takes 855 J of heat, performs 225 J of work, and gives off the remaining energy as heat.
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A Carnot cycle, shown in the figure, has the following conditions: Va = 4.5 L, Vb = 15.0 L, TH = 530°C, and TL = 290°C. The gas used in the cycle is 0.5 mole of a diatomic gas, γ = 1.4. (b) Calculate the volumes at c and d. ____L and ____L (c) What is the work done along process ab? ______J (d) What is the heat lost along process cd? (Include the sign of the value in your answer.) _____J (e) Calculate the net work done for the whole cycle _____J (f) What is the efficiency of the cycle, using the definition e = W/QH? _____%
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