Question
62. A sealed room has a volume of 24 m3. It's filled with air, which may...
62. A sealed room has a volume of 24 m3. It's filled with air, which may be assumed to be diatomic, at a temperature of 24 °C and a pressure of 9.83 x 104 Pa, A 1.00-k block of ice at its melting point is placed in the room. Assume the walls of the room transfer no heat. What is the equilibrium temperature?
Answers
Consider equilibrium temperature as T
Ideal gas equation, PV = nRT
T = 273+24 = 297 K
n = PV/RT = 98300*24/8.314*297 = 955.428Balancing heat
mass of ice block = m = 1 kg
specific heat of water = 4186 J/kg-K
latent heat of ice = 334000 J/kgnCv (delta T) = m(334000) + m(4186) (T-0)
PV/RT * (5/2) R * (24-T) = 334000 + 4186T
955.428*2.5*8.314(24-T) = 334000 + 4186T
476606 - 19858.58T = 334000 + 4186T
T = 5.93 degree Celsius
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