Water passes from a lake to a turbine positioned a vertical distance of $90\,\text{m}$ beneath the lake surface, as illustrated. The water’s mass flow rate is $2400\,\text{kg min}^{-1}$. The turbine operates with an efficiency of $75\%$. Calculate the output power of the turbine.
- A$26\,\text{kW}$
- B$35\,\text{kW}$
- C$1.6\,\text{MW}$
- D$2.1\,\text{MW}$