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Sedaia [141]
3 years ago
8

Steam is accelerated by a nozzle steadily from zero velocity to a velocity of 280 m/s at a rate of 2.5 kg/s. If the temperature

and pressure of the steam at the nozzle exit are 400°C and 2 MPa, determine the exit area of the nozzle. Solve using appropriate software.
Physics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:

The exit area of the nozzle is 0.000861 m².

Explanation:

Given that,

Velocity = 280 m/s

Rate = 2.5 kg/s

Pressure = 2 MPa

Temperature = 400°C

We need to calculate the volume

Using equation of ideal gas

PV=RT

V=\dfrac{RT}{P}

Put the value into the formula

V=\dfrac{0.287\times673}{2\times10^{3}}

V=0.0965\ m^3/kg

We need to calculate the exit area of the nozzle

Using equation of continuity

\dfrac{dm}{dt}=\dfrac{A_{1}v}{V}

A=\dfrac{V\times\dfrac{dm}{dt}}{v}

Put the value into the formula

A=\dfrac{0.0965\times2.5}{280}

A=0.000861\ m^2

Hence, The exit area of the nozzle is 0.000861 m².

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