Question

A sample of an ideal gas is taken through the cyclic process abca shown in the figure. The scale of the vertical axis is set by p_b = 9.27 kPa and p_ac = 4.25 kPa. At point a, T = 198 K. (a) How many moles of gas are in the
sample? What are (b) the temperature of the gas at point b, (c) the temperature of the gas at point c, and (d) the net energy added to the gas as heat during the cycle?

Pac 1.42 4.76 Volume (m3)

Answer 1

A)

No. of moles, n = PV/RT

n = (4.25 x 1000 x 1.42)/(8.314 x 198) = 3.67 mol

B)

From ideal gas equation,

Tb = [(9270 x 4.76)/(4250 x 1.42)] 198 = 1447.69 K

C)

Tc = (4.76/1.42) 198 = 663.72 K

D)

Q = 0.5 x (4.76 - 1.42)(9270 - 4250) = 8383.4 J

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