Question

One imperial cup of water is in a 10ft X 20ft X 20ft sealed room filled with air.  The initial temperature of the water is 130 F.  The initial temperature of the room air is 70F and the pressure is 14.7 psia.  Heat is transferred from the air in the room to the water in the cup until the temperature of the room air is 69F.  Show that this is not possible using the first and second laws of thermodynamics.  Assume the specific heat of the room air is constant at 80F.  Assume one imperial cup is equal to 0.01003 cubic feet.

Note, your final temperature of the water should come to right under 212F (depending on rounding) so assume the water stays a liquid the whole time, i.e., it does not boil.

Please solve in English units

Answer 1