Figure 20-27 shows a reversible cycle through which 1.00 mol of a monatomic idea

Question

Figure 20-27 shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that p = 2.05p0, V = 2.68V0, p0 = 1.62

shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that p = 2.05p0, V = 2.68V0, p0 = 1.62 times 105 Pa, and V0 = 0.0220 m3. Calculate (a) the work done during the cycle, (b) the energy added as heat during stroke abc, and (c) the efficiency of the cycle. (d) What is the efficiency of a Carnot engine operating between the highest and lowest temperatures that occur in the cycle? (e) Is this greater than or less than the efficiency calculated in (c)?

Explanation / Answer

the work done during the process is

W = P x V

the energy added as heat is

Q = n x R x T

where n = 1.00 mol,R = 8.314 J/mol/K and T is temperature of gas in Kelvin

the efficiency of the cycle is

N = (W/Q)

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