Specific Heat Problem and boiling water

In summary, the final temperature of the water after being poured into the aluminum pan is approximately 52.319°C. The equations used were Q=mcΔt and setting the heat gained by the water equal to the heat lost by the aluminum pan.
  • #1
clutch12
21
0

Homework Statement


140 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 1100 grams and initial temperature 24° C (the heat capacity of aluminum is 0.9 J/gram/K).
After a short time, what is the temperature of the water?


Homework Equations


Q=mc delta t


The Attempt at a Solution



140g(4.2J/K/gram)(T-100) = 1100g(0.9 J/K/gram)(24-T)
588T-58800 = 23760 - 990 T
588T + 990 T = 23760 + 58800
1578 T = 82560
T= 52.319

Am I doing this right?
 
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  • #2
Looks good to me, clutch.
 
  • #3
Alright and when I am determining the temperature am i subtracting 100-52.319 or no?
 
  • #4
No, 52.319 is the final answer. 100-52.319 would be the change in temperature of the water.
 
  • #5
oh ok thanks for clearing that up
 

FAQ: Specific Heat Problem and boiling water

1. What is specific heat and how does it relate to boiling water?

Specific heat is the amount of heat required to raise the temperature of a substance by one degree. It is a property of a material and is typically measured in joules per gram per degree Celsius (J/g°C). Boiling water is a process that requires a significant amount of heat energy, and the specific heat of water plays a crucial role in determining the amount of heat needed to bring water to its boiling point.

2. How does the specific heat of water compare to other substances?

The specific heat of water is relatively high compared to other substances, meaning it requires more heat energy to raise its temperature. This is due to the strong hydrogen bonds between water molecules, which require a lot of energy to break. This high specific heat of water is also why it is used as a coolant in many industrial processes.

3. Why does water boil at 100°C at sea level?

At sea level, the atmospheric pressure is approximately 1 atmosphere. The boiling point of water is dependent on the surrounding pressure, and at 1 atmosphere, the boiling point of water is 100°C. This is also why water boils at different temperatures at higher altitudes, where the atmospheric pressure is lower.

4. Can the specific heat of water change?

The specific heat of water is relatively constant at standard temperature and pressure. However, as water changes its state from liquid to gas or solid, the specific heat will vary. For example, the specific heat of water when it is frozen (ice) is lower than that of liquid water.

5. How is the specific heat of water used in everyday life?

The high specific heat of water has many practical applications in our daily lives. For example, it helps regulate the temperature of our bodies and the Earth's climate. Water is also used as a coolant in cars, power plants, and other industrial processes. Additionally, the specific heat of water is used in cooking, such as using boiling water to cook food or using ice water to cool down drinks.

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