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Question

The pressure, temperature and velocity of air flowing in pipe are 5 bar, 500 K and 50m/s, respectively. The specific heats of air at a constant pressure and at constant volume are 1.005 kJ/kgK and 0.718 kJ/kgK, respectively. Neglect potential energy. If the pressure and temperature of the surroundings are 1 bar and 300 K, respectively, the available energy in kJ/kg of he air stream is

A
170
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B
191
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C
187
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D
213
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Solution

The correct option is C 187
(b)
P0=100kPa,T0=300K
Available energy
=(h1h0)T0(s1s0)+(v212v222)
where, s1s0=cpInT1T0RInp1p0 (V2=0)
=1.005In(500300)0.287In(51)
=0.05147kJ/kgK
Available energy
=1.005(500300)300(0.5147)+(50)22×103
=186.8kJ/kg187kJ/kg

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