An ice cube with a mass of 45.4 g at 0.0 °C is added to a glass containing 374 g of water at 45.0 °C. Determine the final temperature of the system at equilibrium. The specific heat capacity of water, C,, is 4.184 J/g-°C, and the standard enthalpy of fusion, AH; , of water is 6.01 x 10 J/mol. Assume that no energy is transferred to or from the surroundings. fus T = TOOLS

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An ice cube with a mass of 45.4 g at 0.0 °C is added to a glass containing 374 g of water at 45.0 °C. Determine the final
temperature of the system at equilibrium. The specific heat capacity of water, C, is 4.184 J/g.°C, and the standard enthalpy of
fusion, AH; , of water is 6.01 × 10° J/mol. Assume that no energy is transferred to or from the surroundings.
fus
T =
°C
TOOLS
x10
Question Source: Atkins 7e - Chemical Principles| Publisher: W.H. Fre
Transcribed Image Text:An ice cube with a mass of 45.4 g at 0.0 °C is added to a glass containing 374 g of water at 45.0 °C. Determine the final temperature of the system at equilibrium. The specific heat capacity of water, C, is 4.184 J/g.°C, and the standard enthalpy of fusion, AH; , of water is 6.01 × 10° J/mol. Assume that no energy is transferred to or from the surroundings. fus T = °C TOOLS x10 Question Source: Atkins 7e - Chemical Principles| Publisher: W.H. Fre
Expert Solution
Step 1

Given : Mass of ice = 45.4 g

Initial temperature of ice = melting point temperature = 0.0 oC

Mass of water = 374 g

Initial temperature of water = 45.0 oC

Assuming the final temperature at equilibrium is T (which is more than melting point temperature).

Hence all the ice will melt and will reach to the final temperature.

 

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