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. Calculate the final temperature of the system in kelvin, assuming a constant specific heat for the water of cw = 4180 J/kg⋅K and a constant specific heat capacity for the air of ca = 1010 J/kg⋅K. Calculate the change in the internal energy ΔU of the room-water system in joules.

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. Calculate the final temperature of the system in kelvin, assuming a constant specific heat for the water of cw = 4180 J/kg⋅K and a constant specific heat capacity for the air of ca = 1010 J/kg⋅K. Calculate the change in the internal energy ΔU of the room-water system in joules.

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Question

A large room contains a volume of air of V_a = 15 m³ at a temperature of T_a = 53° F. It also contains a bathtub holding a volume of water of V_w = 0.56 m³ at a temperature of T_w = 101° F.

Calculate the final temperature of the system in kelvin, assuming a constant specific heat for the water of c_w = 4180 J/kg⋅K and a constant specific heat capacity for the air of c_a = 1010 J/kg⋅K.

Calculate the change in the internal energy ΔU of the room-water system in joules.

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