If  the work produced by the turbine to be 979.89 kJ/kg, determine the heat supplied in the boiler in kJ/Kg

To answer this question, we need more information about the process. The work produced by the turbine (979.89 kJ/kg) is part of the energy conversion process in a power plant, but to determine the heat supplied in the boiler, we need to know the efficiency of the boiler or the overall efficiency of the power plant.

The heat supplied in the boiler (Q) can be calculated using the first law of thermodynamics, which states that the energy added to the system (in this case, the heat added in the boiler) is equal to the work done by the system (the work produced by the turbine) plus the change in internal energy of the system.

If we assume that there is no change in the internal energy of the system (which is a common assumption for steady-state power plants), the equation simplifies to:

Q = W + ΔU

Where: Q = heat supplied in the boiler W = work produced by the turbine ΔU = change in internal energy of the system

If ΔU = 0, then Q = W, so the heat supplied in the boiler would be equal to the work produced by the turbine, which is 979.89 kJ/kg.

However, this is a very simplified scenario and in reality, the efficiency of the boiler and the power plant would need to be taken into account. The actual heat supplied in the boiler would likely be higher than the work produced by the turbine due to energy losses in the system.