A small domestic heater is used to raise the temperature of 1.8 litres of water from 5 to 100!C determine the following: a) The electrical energy needed, both (kJ) and (kWh), to complete this operation (assume there is no change of phase, that heat losses can be neglected and take the average specific heat capacity of water to be 4.2 kJ/kg K). b) The power consumption of the heater (kW), given that the heating process takes 4 minutes. c) At 100!C the water will boil and, if 5% of the mass is allowed to escape (as vapour) before turning the heater off, calculate the electrical energy (kJ) needed to generate the vapour (take the latent heat of vaporisation to be 2256 kJ/kg).

Question

A small domestic heater is used to raise the temperature of 1.8 litres of water from
5 to 100!C determine the following:
a) The electrical energy needed, both (kJ) and (kWh), to complete this operation
(assume there is no change of phase, that heat losses can be neglected and
take the average specific heat capacity of water to be 4.2 kJ/kg K).
b) The power consumption of the heater (kW), given that the heating process
takes 4 minutes.
c) At 100!C the water will boil and, if 5% of the mass is allowed to escape
(as vapour) before turning the heater off, calculate the electrical energy (kJ)
needed to generate the vapour (take the latent heat of vaporisation to be
2256 kJ/kg).

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