4. Determine the power of an electric heater needed to heat oil to t=65^circ C in 1 h in a rail tank- er containing 20 t of oil (c_(oil)=2.3kJ/(kgcdot deg)) at 15^circ C The heat loss to the environment is 8%

To determine the power of the electric heater needed to heat the oil, we can use the formula: where:- is the heat energy required,- is the mass of the oil,- is the specific heat capacity of the oil,- is the change in temperature.Given:- t = 20,000 kg (since 1 t = 1,000 kg),- kJ/(kg·°C),- Initial temperature ,- Final temperature ,- Heat loss to the environment = 8%.First, calculate the change in temperature: Next, calculate the heat energy required: Since there is an 8% heat loss, the actual heat energy supplied by the heater should be: Now, convert the heat energy from kJ to Joules: Finally, calculate the power of the heater in watts (1 watt = 1 J/s): Therefore, the power of the electric heater needed to heat the oil is approximately 694.44 kW.