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In a gas turbine the gas enters at the rate of 5 Kg/s with a velocity of 50m/s and enthalpy of 900KJ/kg and leaves the turbine with a velocity of 150 m/s and enthalpy of 400 KJ/kg. The loss of heat from the gas to the surroundings is 25 KJ/kg. Assume for gas R = 287 KJ/kg K and Cp 1.004 KJ/kg K and the inlet conditions to be at 100KPa and 27oC. Determine the power output of the turbine and the diameter of the inlet pipe.?
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In a gas turbine the gas enters at the rate of 5 Kg/s with a velocity ...
Given data:
- Mass flow rate of gas (m_dot) = 5 Kg/s
- Inlet velocity of gas (V1) = 50 m/s
- Inlet enthalpy of gas (h1) = 900 KJ/kg
- Outlet velocity of gas (V2) = 150 m/s
- Outlet enthalpy of gas (h2) = 400 KJ/kg
- Heat loss (Q_loss) = 25 KJ/kg
- Gas constant (R) = 287 KJ/kg K
- Specific heat at constant pressure (Cp) = 1.004 KJ/kg K
- Inlet pressure (P1) = 100 KPa
- Inlet temperature (T1) = 27°C

To determine:
- Power output of the turbine
- Diameter of the inlet pipe

Calculation of power output of the turbine:
- The change in enthalpy of the gas (Δh) = h1 - h2
- The work done by the gas (W_dot) = m_dot * Δh
- The power output of the turbine (P_out) = W_dot - Q_loss * m_dot
- Substituting the given values, we get P_out = 1750 KW

Calculation of diameter of the inlet pipe:
- The mass flow rate of the gas (m_dot) = density * area * velocity, where density = P1 / (R * T1)
- Rearranging the equation, we get area = m_dot / (density * velocity)
- Substituting the given values, we get area = 0.034 m^2
- The diameter of the inlet pipe (d) = 2 * √(area / π)
- Substituting the value of area, we get d = 0.21 m

Therefore, the power output of the turbine is 1750 KW and the diameter of the inlet pipe is 0.21 m.
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In a gas turbine the gas enters at the rate of 5 Kg/s with a velocity of 50m/s and enthalpy of 900KJ/kg and leaves the turbine with a velocity of 150 m/s and enthalpy of 400 KJ/kg. The loss of heat from the gas to the surroundings is 25 KJ/kg. Assume for gas R = 287 KJ/kg K and Cp 1.004 KJ/kg K and the inlet conditions to be at 100KPa and 27oC. Determine the power output of the turbine and the diameter of the inlet pipe.?
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In a gas turbine the gas enters at the rate of 5 Kg/s with a velocity of 50m/s and enthalpy of 900KJ/kg and leaves the turbine with a velocity of 150 m/s and enthalpy of 400 KJ/kg. The loss of heat from the gas to the surroundings is 25 KJ/kg. Assume for gas R = 287 KJ/kg K and Cp 1.004 KJ/kg K and the inlet conditions to be at 100KPa and 27oC. Determine the power output of the turbine and the diameter of the inlet pipe.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a gas turbine the gas enters at the rate of 5 Kg/s with a velocity of 50m/s and enthalpy of 900KJ/kg and leaves the turbine with a velocity of 150 m/s and enthalpy of 400 KJ/kg. The loss of heat from the gas to the surroundings is 25 KJ/kg. Assume for gas R = 287 KJ/kg K and Cp 1.004 KJ/kg K and the inlet conditions to be at 100KPa and 27oC. Determine the power output of the turbine and the diameter of the inlet pipe.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a gas turbine the gas enters at the rate of 5 Kg/s with a velocity of 50m/s and enthalpy of 900KJ/kg and leaves the turbine with a velocity of 150 m/s and enthalpy of 400 KJ/kg. The loss of heat from the gas to the surroundings is 25 KJ/kg. Assume for gas R = 287 KJ/kg K and Cp 1.004 KJ/kg K and the inlet conditions to be at 100KPa and 27oC. Determine the power output of the turbine and the diameter of the inlet pipe.?.
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