If no heat is transferred to or from a turbine, it means that the turbine is adiabatic, meaning there is no heat exchange with the surroundings. In an adiabatic process, the system is thermally insulated, and there is no transfer of heat energy across its boundaries.
In the case of a turbine, the steam enters at a high pressure and temperature and passes through the turbine blades, causing them to rotate and perform mechanical work. As the steam expands and does work on the turbine blades, its pressure and temperature decrease.
Even though there is no heat exchange, the decrease in pressure and temperature can be explained by the conservation of energy and the conversion of energy from thermal to mechanical form. As the steam does work on the turbine, its internal energy decreases, resulting in a decrease in both pressure and temperature.
Therefore, at both ends of the turbine, the pressure and temperature of the steam will be equalized. This occurs because the work done by the steam in the turbine is accompanied by a corresponding decrease in its internal energy, leading to a decrease in pressure and temperature.