Question

Steam enters the condenser of a steam power plant at 30 kPa, a quality of 88%, and a mass flow rate (m˙\dot{m}m˙) of 303 kg/min. It leaves the condenser at a pressure of 10 kPa and is saturated liquid. Determine the rate at which heat is removed from the steam during this process.

Answer 1

To determine the rate at which heat is removed from the steam during this process, we can use the first law of thermodynamics. The rate at which heat is removed is equal to the heat removed per unit mass multiplied by the mass flow rate of the steam. This can be calculated using the properties of steam at the given conditions.

Step-by-step explanation:

To determine the rate at which heat is removed from the steam during this process, we can use the first law of thermodynamics. The first law of thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

In this case, since the condenser is the system and there is no work done by the system, the change in internal energy is equal to the heat removed from the steam. We can use the mass flow rate and the properties of steam at the given conditions to calculate the heat removed.

Using the steam tables, we find that the enthalpy of the steam at the inlet is 2778 kJ/kg and at the outlet is 417 kJ/kg. The heat removed per unit mass can be calculated as the difference between these two values.

The rate at which heat is removed can then be calculated by multiplying the heat removed per unit mass by the mass flow rate of the steam.