The stators in a gas turbine are designed to increase the kinetic energy of the gas passing through them adiabatically. Air enters a set of these nozzles at 300 psia and 700°F with a velocity of 80 ft/s and exits at 250 psia and 645°F. Calculate the velocity at the exit of the nozzles. The specific heat of air at the average temperature of 672.5°F is cp = 0.253 Btu/lbm·R.

Respuesta :

Answer:

V_2= 595.7054 m/s

Explanation:

The energy balance equation

E_in - E= ΔE_system

E_in = E_out

therefore,

[tex]m(h_1+\frac{V_1^2}{2})= Q_{out}+m(h_2+\frac{V^2_2}{2})[/tex]

Exit velocity

[tex]V_2= [V_1^2+2(h_1-h_2)]^{0.5} =  [V_1^2+2C_p(T_1-T_2)]^{0.5}[/tex]

noting C_p=0.253

replace the values of the variables to find V_2

[tex]V_2=[80^2+2\times0.253(672.5-645)R\times25037]^{0.5}[/tex]

V_2= 595.7054 m/s

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