In a coal-fired power station, steam (H₂O) enters the nozzle in a turbine at T₁ = 800 K, P₁ = 2 MPa at negligible velocity, and emerges at high velocity as a liquid–vapor mixture having quality x₂ = 0.97 at P₂ = 0.07 MPa. Assuming steady-state and negligible heat transfer, calculate the nozzle exit velocity (m/s).