A large room contains a volume of air of Va = 15 m3 at a temperature of Ta = 53° F. It also contains a bathtub holding a volume of water of Vw = 0.56 m3 at a temperature of Tw = 101° F.   If the density of the air at Ta is ρa = 1.25 kg/m3, calculate the mass of air in the room in kilograms.  If the density of the water at Tw is ρw = 1000 kg/m3, calculate the mass of the water in the bathtub in kilograms.  Take the room and water as an isolated system. Write an equation for the equilibrium temperature of the system T in terms of ma, Ta, mw, Tw, and the specific heat capacity of the air ca and the water cw.

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A large room contains a volume of air of Va = 15 m3 at a temperature of Ta = 53° F. It also contains a bathtub holding a volume of water of Vw = 0.56 m3 at a temperature of Tw = 101° F.

 

If the density of the air at Ta is ρa = 1.25 kg/m3, calculate the mass of air in the room in kilograms. 

If the density of the water at Tw is ρw = 1000 kg/m3, calculate the mass of the water in the bathtub in kilograms. 

Take the room and water as an isolated system. Write an equation for the equilibrium temperature of the system T in terms of maTamwTw, and the specific heat capacity of the air ca and the water cw
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