Heat Transfer Problem

[jschwa1]

If a person is locked in a perfectly insulated room 8 ft by 8 ft by 10 ft, how long will it take the room temperature to increase from 78 degrees F to 100 degrees F? The person's body heat output is 100 watts and their volume is 3 cubic feet. It is also given that the density of air is 1.2 kg/cubic meter, and 1 watt sec/(g K) is its specific heat.

I really don't know where to begin with this. Thanks for your help.

 

[Deleted member 4993]

If a person is locked in a perfectly insulated room 8 ft by 8 ft by 10 ft, how long will it take the room temperature to increase from 78 degrees F to 100 degrees F? The person's body heat output is 100 watts and their volume is 3 cubic feet. It is also given that the density of air is 1.2 kg/cubic meter, and 1 watt sec/(g K) is its specific heat.

I really don't know where to begin with this. Thanks for your help.

Assume that the temperature of the room increases from T to T+dT in a time lapse of dt - requires a heat input of dQ.

Now formulate the differential equation y considering energy balance and continue....

Please show us your work, indicating exactly where you are stuck - so that we may know where to begin to help you.