A cup contains 187 g of coffee at 97.6 °C. Suppose 56.2 g of ice is added to the coffee. What is the temperature of the coffee after all of the ice melts? The enthalpy of fusion of water can be found in this table. Assume the specific heat capacity of the coffee is the same as water. Tinal = 68.33 °C Incorrect
A cup contains 187 g of coffee at 97.6 °C. Suppose 56.2 g of ice is added to the coffee. What is the temperature of the coffee after all of the ice melts? The enthalpy of fusion of water can be found in this table. Assume the specific heat capacity of the coffee is the same as water. Tinal = 68.33 °C Incorrect
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Enthalpy of fusion of water: 333.6 J/g (6010 J/mol)
![A cup contains 187 g of coffee at 97.6 °C. Suppose 56.2 g of ice is added to the coffee. What is the temperature of the coffee
after all of the ice melts? The enthalpy of fusion of water can be found in this table. Assume the specific heat capacity of the
coffee is the same as water.
Tfinal
68.33
°C
Incorrect](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb233bde-8c72-45b0-8809-278b721c06d7%2Fb73a35de-dbd3-4231-b8c8-b67f52492402%2Fx2alh95_processed.png&w=3840&q=75)
Transcribed Image Text:A cup contains 187 g of coffee at 97.6 °C. Suppose 56.2 g of ice is added to the coffee. What is the temperature of the coffee
after all of the ice melts? The enthalpy of fusion of water can be found in this table. Assume the specific heat capacity of the
coffee is the same as water.
Tfinal
68.33
°C
Incorrect
![A cup contains 187
after all of the ice melts? The enthalpy of f
of coffee at 97.6 °C. > E Feedback
coffee is the same as water.
When ice is added to the coffee, the ice absorbs heat from the coffee and melts.
The melted ice then abosorbs additional heat from the coffee as they reach
thermal equillibrium. The coffee will cool from this loss of heat. This can be
represented using the equation
Tinal
68.33
-Acoffee
qice + (mice X AHfusion)
Incorrect
where q is heat, m is mass, and AHfusion is the enthalpy of fusion for water. The
amount of heat lost by the coffee and gained by the melted ice can be represented
using the equation
q = MCAT
where c is the specific heat, and AT is the change in temperature. Substituting the
heat equation for q gives
-(mcoffee X Cwater X AT) =
(mice X Cwater X AT) + (mice × AHfusion)
The inital temperature of the melted ice is 0 °C and the final temperature of the
melted ice and the coffee will be the same. Rearrange and solve for the
final temperature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb233bde-8c72-45b0-8809-278b721c06d7%2Fb73a35de-dbd3-4231-b8c8-b67f52492402%2F7r161ef_processed.png&w=3840&q=75)
Transcribed Image Text:A cup contains 187
after all of the ice melts? The enthalpy of f
of coffee at 97.6 °C. > E Feedback
coffee is the same as water.
When ice is added to the coffee, the ice absorbs heat from the coffee and melts.
The melted ice then abosorbs additional heat from the coffee as they reach
thermal equillibrium. The coffee will cool from this loss of heat. This can be
represented using the equation
Tinal
68.33
-Acoffee
qice + (mice X AHfusion)
Incorrect
where q is heat, m is mass, and AHfusion is the enthalpy of fusion for water. The
amount of heat lost by the coffee and gained by the melted ice can be represented
using the equation
q = MCAT
where c is the specific heat, and AT is the change in temperature. Substituting the
heat equation for q gives
-(mcoffee X Cwater X AT) =
(mice X Cwater X AT) + (mice × AHfusion)
The inital temperature of the melted ice is 0 °C and the final temperature of the
melted ice and the coffee will be the same. Rearrange and solve for the
final temperature.
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