A steam plant burns natural gas to produce $1000kW$ of thermal energy, and $60\%$ of the energy is transferred as heat to water flowing through tubes in the furnace. Water enters the tubes at $25C$ and leaves as saturated steam at $20$ bar absolute$.$ Calculate the rate and $\frac{m^3}{h})$ at which steam is produced. What happened to the $40\%$ of the energy not transferred to the water?