Question

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

Answer 1

`\Delta T = 28.57°C`

Step-by-step 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

`W = h_2 - h_1`

`= mCp(\Delta T)`

`1*10^3 = 0.0333*1.05*10^3 * \Delta T`

`\Delta T = (10^3)/(0.033*1.05*10^3)`

`\Delta T = 28.57°C`