A pipe of diameter 0.1 m carries a gas with the following properties at a certai

Question

A pipe of diameter 0.1 m carries a gas with the following properties at a certain cross- section: p = 200 kPa ; T = 40 C; v = 1 m3/kg ; V = 10 m/s .

A)

Determine the mass flow rate (m) in units kg/s

Express your answer to three significant figures.

B)

Determine the volume flow rate in units m^3/s

Express your answer to four significant figures.

C)

Determine the specific kinetic energy (ke) in units kJ/kg

Express your answer to four significant figures.

D)

Determine the flow rate of kinetic energy (KE) in units kW

Express your answer to four significant figures.

Explanation / Answer

Given that,

Pressure P = 200 kPa

T = 40 oC

density r = 1 kg/m^3

velocity V = 10 m/s

Diameter of pipe d = 0.1 m

area A = pi*d^2 / 4 = 0.00785 m^2

(a)

mass flow rate,

m/t = r V A

m/t = 1*10*0.00785

m/t = 0.0785 kg/s

(b)

volume flow rate,

V = area * velocity

V = 0.00785 * 10

V = 0.0785 m^3 / s

(c)

specific kinetic energy ,

Ke = (1/2)v^2

Ke = (1/2)*10^2

Ke = 50 J/kg

Ke = 0.05 kJ / kg

(d)

flow rate of kinetic energy,

KE = (1/2) * (m/t) * v^2

KE = (1/2) * 0.0785 * 10^2

KE = 3.925 W

KE = 0.003925 kW

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