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1) 0.100kg of ice at 0.0 o C is placed in a water bath that contains m kg of wat

ID: 1515726 • Letter: 1

Question

1) 0.100kg of ice at 0.0oC is placed in a water bath that contains m kg of water at 35.0oC. The system comes to equilibrium at 25.0oC. (Assume no heat loss to the surroundings)
(a) Draw a sketch to show various stages of steam and water as they mix and come to equilibrium.
(b) Set up the equation for heat transfer during each of those processes
(c) Calculate the mass m in the water bath

2)
(a) What is the average translational kinetic energy of 2.0 moles of ideal gas at 27oC?
(b)For the oxygen as an ideal gas, what is the rms speed of the O2 molecules at 27oC
(c) An ideal diatomic gas undergoes an adiabetic compressing process. This gas is initially 1.25atm and 22.0oC and has a volume of 0.200m3. is is adiabatically compressed to 0.050m3. Calculate its final pressure in Pascal.
(d) What is the change in entropy of 0.025kg of steam that is condensed from 100oC of steam to 100OC of water?

Explanation / Answer

1) m = 0.1 kg
m kg water
T eq = 25

a) 0.1 kg ice ----> 0.1 kg water at 0 C --- > 0.1 + m kg of water at 25
b) Heaty gained by ice = 0.1*333550 + 0.1*4186*25
Heat lost by water = m*4186*10
c) By conservation of energy
m = 1.0468 kg of water