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A steam pipe for a 300-m-tall building receives superheated steam at 200 kPa at ground level. At the top floor the pressure is 125 kPa, and the heat loss in the pipe is 110 kJ/kg. What should the inlet temperature be so that no water will condense inside the pipe?

Respuesta :

Answer:

inlet temperature is [tex]170^{\circ}C [/tex]be so that no water will condense inside the pipe

Explanation:

Assumptions,

  • No change in the kinetic energy
  • Steady state
  • single inlet and exit flow

The energy equation is given by

[tex]q+h_i=h_e+gZ_e[/tex]

No condensation  means

[tex]h_{e}=h_{g} \text { at } 125k P a=2685.4 \mathrm{kJ} / \mathrm{Kg}[/tex]

[tex]h_i=h_e+gZ_e-q[/tex]

Substituting the values,

=[tex]2685.4+\frac{9.807 \times 300}{1000} -(-110)[/tex]

=[tex]2685.4+\frac{2942.1}{1000} -(-110)[/tex]

=[tex]2685.4+ 2.9421 -(-110)[/tex]

=[tex]2685.4+ 2.9421 + 110[/tex]

=2798.34 kJ/kg

At 200 kPa T[tex]\sim[/tex] 170  

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