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Carbon dioxide enters an adiabatic nozzle steadily at 1 MPa, 530 oC, and mass flow rate of 5,227 kg/h and exits the system at 102 kPa and 427 m/s. Considering the nozzle having an inlet area of 43 cm2, calculate the inlet velocity in m/s (Give your answer with three decimals, and do NOT enter units!!!).

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Olajidey

Answer:

The inlet velocity is 5.015

Explanation:

Given that,

Mass flow rate m, = 5227kg/h

Pressure P₁ = 102kPa

Inlet area A₁ = 43cm² = 0.043m²

Exit velocity v₂ = 427m/s

For CO₂ gas

R = 0.1889KJ/Kg.k

R  is specific gas constant

Calculate the density

[tex]p_1 = \frac{P_1}{RT_1} \\= \frac{1020}{0.1889 (530 + 273) } \\= 6.724kg/m^2[/tex]

Calculate the inlet velocity

[tex]m = p_1A_1v_1\\v_1 = \frac{m}{p_1A} \\= \frac{1.45}{6.724 \times 0.043 } \\= 5.015m/s[/tex]

The inlet velocity is 5.015

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