Question

Steam at 1 MPa, 300 C flows through a 30 cm diameter pipe with an average velocity of 10 m/s. The mass flow rate of this steam is: (d) 3.78 kg/s (a) 0.731 kg/s(b) 2.74 kg/s (c) 3.18 kg/s

Answer 1

`\dot m = 2.74 kg/s`

Step-by-step explanation:

given data:

pressure 1 MPa

diameter of pipe = 30 cm

average velocity = 10 m/s

area of pipe
`= \frac[\pi}{4}d^2`

`= (\pi)/(4) 0.3^2`

A = 0.070 m2

WE KNOW THAT mass flow rate is given as

`\dot m = \rho A v`

for pressure 1 MPa, the density of steam is = 4.068 kg/m3

therefore we have

`\dot m = 4.068 * 0.070* 10`

`\dot m = 2.74 kg/s`