On a hot summer day, you decide to make some iced tea. First, you brew 1.50 L  of hot tea and leave it to steep until it has reached a temperature of T_Tea  = 75.0 ∘C . You then add 0.975 kg  of ice taken from the freezer at a temperature of Tice  = 0 ∘C . By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature Tf  of the mixture? For the purposes of this problem, assume that the tea has the same thermodynamic properties as plain water. The specific heat of water is c  = 4190 J/kg⋅∘C  . The heat of fusion of ice is Lf  = 3.33×105 J/kg  . The density of the tea is ρtea  = 1.00 kg/L

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On a hot summer day, you decide to make some iced tea. First, you brew 1.50 L
 of hot tea and leave it to steep until it has reached a temperature of T_Tea
 = 75.0 ∘C
. You then add 0.975 kg
 of ice taken from the freezer at a temperature of Tice
 = 0 ∘C
. By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature Tf
 of the mixture?

For the purposes of this problem, assume that the tea has the same thermodynamic properties as plain water.

The specific heat of water is c
 = 4190 J/kg⋅∘C
 .
The heat of fusion of ice is Lf
 = 3.33×105 J/kg
 .
The density of the tea is ρtea
 = 1.00 kg/L
 .

Part C
Find the equilibrium temperature T of the systems.
Express your answer numerically in degrees Celsius.
► View Available Hint(s)
T = 14.1 °C
Submit
✓ Correct
Review
Previous Answers
Part D
You found that the final temperature of the iced tea is between 0 °C and 75.0 °C, as the strategy indicated it should be. Evaluate the work you did to find the final temperature by considering how it would change if the initial conditions were varied. You decide to make several more
batches of iced tea. The conditions under which you make these batches are identical except that for each batch one initial condition is varied. Determine the impact that each of these changes will have on the final temperature of the iced tea.
• Decrease the volume of the tea.
Decrease the mass of ice.
Increase the initial temperature of the tea.
Decrease the initial temperature of the ice.
Sort these changes to the initial conditions of the system based on whether they would cause the final temperature to be smaller than or greater than the temperature of the system found in Part C.
► View Available Hint(s)
Decrease the volume of the tea.
Reset Help
Smaller final temperature
Decrease the initial temperature
of the tea.
Increase the initial temperature Decrease the mass of ice.
of the tea.
Greater final temperature
Transcribed Image Text:Part C Find the equilibrium temperature T of the systems. Express your answer numerically in degrees Celsius. ► View Available Hint(s) T = 14.1 °C Submit ✓ Correct Review Previous Answers Part D You found that the final temperature of the iced tea is between 0 °C and 75.0 °C, as the strategy indicated it should be. Evaluate the work you did to find the final temperature by considering how it would change if the initial conditions were varied. You decide to make several more batches of iced tea. The conditions under which you make these batches are identical except that for each batch one initial condition is varied. Determine the impact that each of these changes will have on the final temperature of the iced tea. • Decrease the volume of the tea. Decrease the mass of ice. Increase the initial temperature of the tea. Decrease the initial temperature of the ice. Sort these changes to the initial conditions of the system based on whether they would cause the final temperature to be smaller than or greater than the temperature of the system found in Part C. ► View Available Hint(s) Decrease the volume of the tea. Reset Help Smaller final temperature Decrease the initial temperature of the tea. Increase the initial temperature Decrease the mass of ice. of the tea. Greater final temperature
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My question was part D. What changes increase or decrease the final temperature?

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