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Problem 17.95 A copper calorimeter can with mass 0.443 kg contains 0.0950 kg of

ID: 1630710 • Letter: P

Question

Problem 17.95

A copper calorimeter can with mass 0.443 kg contains 0.0950 kg of ice. The system is initially at 0.0 C.

Part A

If 0.0350 kg of steam at 100.0 C and 1.00 atm pressure is added to the can, what is the final temperature of the calorimeter can and its contents?

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Part B

At the final temperature, how many kilograms are there of ice, how many of liquid water, and how many of steam?

Enter your answers numerically separated by commas.

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Problem 17.95

A copper calorimeter can with mass 0.443 kg contains 0.0950 kg of ice. The system is initially at 0.0 C.

Part A

If 0.0350 kg of steam at 100.0 C and 1.00 atm pressure is added to the can, what is the final temperature of the calorimeter can and its contents?

T =   C  

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Part B

At the final temperature, how many kilograms are there of ice, how many of liquid water, and how many of steam?

Enter your answers numerically separated by commas.

mice,mwater,msteam =   kg  

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Explanation / Answer

(A) energy released by steam as it converts to water at 100 deg.

Q1 = m Lv = 0.0350 x 2260 kJ/kg = 79.1 kJ

energy released as temp down to T from 100 deg C:

Q2 = 0.0350 x 4.186 x (100 - T) = 14.65 - 0.147 T

suppose final temp is T.

Energy absorbed by ice as it converts to waterat 0 deg C,

Q1' = m Lf = 0.0950 x 334 = 31.73 kJ

as temp of water and copper rises to T

Q2' = (0.0950 x 4.186 x T) + (0.443 x 0.385 x T)

Q2' = 0.568T

  
Applying energy conservation assuming no heat loss,

Q1 + Q2 = Q1' + Q2'

79.1 + 14.65 - 0.147T = 31.73 + 0.568T

T = 86.7 deg C .......Ans

(B) m_ice = 0

m_water = 0.0950 + 0.0350 = 0.130 kg

w_steam = 0


Ans: (0, 0.130 kg , 0 )