2. Suppose air as an ideal gas satisfying the “thermodynamic†version of Bern

Question

2. Suppose air as an ideal gas satisfying the “thermodynamic†version of Bernouilli’s

equation flows down a pipe of radius r. We’ll designate the entrance of the pipe as loca-

tion 1 and a location downstream will be designated location 2. Suppose the velocity at

location 1 is 1 meter per second, and suppose the temperature is 283 degrees C. Suppose

heat is transferred into the gas, so that it is 303 degrees K at location 2. Assuming the

pressure is constant, what will be velocity at location 2?

Explanation / Answer

applying the SFEE at location 1 and 2

h1+ v1^2/2g= h2+ v2^2/2g

P1= P2 given

v1^2/2- v2^2/2= h2-h1= Cp(T2-T1)

v2= 200 m/s

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