A room is heated by a baseboard resistance heater. When the heat losses from the room on a winter day amount to 7000?kJ/h, it is observed that the air temperature in the room remains constant even though the heater operates continuously. Determine the power rating of the heater in kW.
What will be an ideal response?
It is observed that the air temperature in a room heated by electric baseboard heaters remains constant even though the heater operates continuously when the heat losses from the room amount to 7000 kJ/h. The power rating of the heater is to be determined.
Assumptions 1 Air is an ideal gas since it is at a high temperature and low pressure relative to its critical point values of -141°C and 3.77 MPa. 2 The kinetic and potential energy changes are negligible, The temperature of the room remains constant during this process.
Analysis We take the room as the system. The energy balance in this case reduces to
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