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The temperature at the outlet of the turbocharger turbine is 260°C, with an exhaust flow rate of 2 kg/min. Estimate the drop in temperature across the turbine, given that the turbine output power is 1kW. Assume exhaust gas to have a specific heat of 1.05 kJ/kg.K, and an ambient temperature of 25°C

Respuesta :

Answer:

[tex]\Delta T = 28.57°C[/tex]

Explanation:

given data:

temperature at outlet of turbine = 260°C

Flow rate = 2 kg/min = 0.033 kg/s

output power  = 1 kW

specific heat =  1.05 kJ/kg.K

We know that power generated by turbine is equal to change in enthalpy

[tex]W = h_2 - h_1[/tex]

   [tex]= mCp(\Delta T)[/tex]

[tex]1*10^3 = 0.0333*1.05*10^3 * \Delta T[/tex]

[tex]\Delta T = \frac{10^3}{0.033*1.05*10^3}[/tex]

[tex]\Delta T = 28.57°C[/tex]

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