12. An Equivalent Calorimeter In Water 10g, At Room Temperature (20 ° C), Was Used To Mix 200 G Of A Specific Heat Liquid 0.79cal/g ° C, With 35 ° C, With A Metal Block Of 300g Mass At 150 ° C. Knowing That The Final Temperature
12. An Equivalent Calorimeter in Water: A Comprehensive Analysis
In the field of thermodynamics, calorimeters play a crucial role in measuring the heat capacity of various substances. A calorimeter is essentially a device that measures the heat energy transferred between two systems. In this article, we will discuss an equivalent calorimeter in water, which is used to mix a specific heat liquid with a metal block of known mass and temperature. We will analyze the heat transfer between the two systems and determine the final temperature of the mixture.
The Calorimeter Setup
The calorimeter setup consists of a 10g water sample at room temperature (20°C), a 200g specific heat liquid with a temperature of 35°C, and a 300g metal block at 150°C. The specific heat liquid has a heat capacity of 0.79 cal/g°C. The goal is to mix the specific heat liquid with the metal block and determine the final temperature of the mixture.
Heat Transfer Principles
Heat transfer occurs when there is a temperature difference between two systems. In this case, the metal block at 150°C is in contact with the specific heat liquid at 35°C. As a result, heat energy is transferred from the metal block to the specific heat liquid. The heat energy transferred is given by the equation:
Q = mcΔT
where Q is the heat energy transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the temperature difference.
Calculating the Heat Energy Transferred
To calculate the heat energy transferred, we need to determine the temperature difference between the metal block and the specific heat liquid. The temperature difference is given by:
ΔT = T1 - T2
where T1 is the initial temperature of the metal block (150°C) and T2 is the initial temperature of the specific heat liquid (35°C).
ΔT = 150°C - 35°C = 115°C
Now, we can calculate the heat energy transferred using the equation:
Q = mcΔT
Q = (300g)(0.79 cal/g°C)(115°C) = 26655 cal
Calculating the Final Temperature
To calculate the final temperature of the mixture, we need to consider the heat energy transferred from the metal block to the specific heat liquid. The heat energy transferred is given by the equation:
Q = mcΔT
where Q is the heat energy transferred, m is the mass of the specific heat liquid, c is the specific heat capacity, and ΔT is the temperature difference.
Rearranging the equation to solve for ΔT, we get:
ΔT = Q / (mc)
ΔT = 26655 cal / ((200g)(0.79 cal/g°C)) = 168.5°C
Now, we can calculate the final temperature of the mixture by adding the initial temperature of the specific heat liquid to the temperature difference:
Tf = T2 + ΔT
Tf = 35°C + 168.5°C = 203.5°C
In this article, we discussed an equivalent calorimeter in water and analyzed the heat transfer between a specific heat liquid and a metal block of known mass and temperature. We calculated the heat energy transferred from the metal block to the specific heat liquid and determined the final temperature of the mixture. The final temperature of the mixture was found to be 203.5°C.
One of the limitations of this study is the assumption that the specific heat capacity of the liquid is constant over the temperature range. In reality, the specific heat capacity may vary with temperature. Future studies could investigate the temperature dependence of the specific heat capacity of the liquid.
- [1] Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of physics. John Wiley & Sons.
- [2] Serway, R. A., & Jewett, J. W. (2018). Physics for scientists and engineers. Cengage Learning.
The following table summarizes the calculations performed in this study:
| Quantity | Value | |
|---|---|---|
| m (metal block) | 300g | |
| c (specific heat capacity) | 0.79 cal/g°C | |
| T1 (initial temperature of metal block) | 150°C | |
| T2 (initial temperature of specific heat liquid) | 35°C | |
| ΔT (temperature difference) | 115°C | |
| Q (heat energy transferred) | 26655 cal | |
| m (specific heat liquid) | 200g | |
| c (specific heat capacity) | 0.79 cal/g°C | |
| Tf (final temperature) | 203.5°C |
12. An Equivalent Calorimeter in Water: A Comprehensive Analysis - Q&A
In our previous article, we discussed an equivalent calorimeter in water and analyzed the heat transfer between a specific heat liquid and a metal block of known mass and temperature. We calculated the heat energy transferred from the metal block to the specific heat liquid and determined the final temperature of the mixture. In this article, we will answer some of the frequently asked questions related to the calorimeter setup and the heat transfer principles.
Q: What is the purpose of using a calorimeter in this experiment? A: The purpose of using a calorimeter in this experiment is to measure the heat energy transferred between the metal block and the specific heat liquid. The calorimeter allows us to determine the final temperature of the mixture and calculate the heat energy transferred.
Q: What is the significance of the specific heat capacity of the liquid? A: The specific heat capacity of the liquid is a measure of the amount of heat energy required to raise the temperature of the liquid by 1°C. In this experiment, the specific heat capacity of the liquid is 0.79 cal/g°C, which means that 0.79 calories of heat energy are required to raise the temperature of 1 gram of the liquid by 1°C.
Q: How does the temperature of the metal block affect the heat transfer? A: The temperature of the metal block affects the heat transfer by determining the temperature difference between the metal block and the specific heat liquid. A higher temperature of the metal block results in a greater temperature difference, which in turn increases the heat energy transferred.
Q: What is the effect of the mass of the specific heat liquid on the heat transfer? A: The mass of the specific heat liquid affects the heat transfer by determining the amount of heat energy required to raise the temperature of the liquid. A greater mass of the specific heat liquid requires more heat energy to raise its temperature, which in turn affects the final temperature of the mixture.
Q: Can the calorimeter setup be used to measure the heat energy transferred between two different substances? A: Yes, the calorimeter setup can be used to measure the heat energy transferred between two different substances. However, the specific heat capacities of the two substances must be known in order to calculate the heat energy transferred.
Q: What are some of the limitations of the calorimeter setup? A: Some of the limitations of the calorimeter setup include the assumption that the specific heat capacity of the liquid is constant over the temperature range, and the assumption that the heat energy transferred is only due to the temperature difference between the metal block and the specific heat liquid.
In this article, we answered some of the frequently asked questions related to the calorimeter setup and the heat transfer principles. We discussed the purpose of using a calorimeter in this experiment, the significance of the specific heat capacity of the liquid, and the effect of the temperature of the metal block and the mass of the specific heat liquid on the heat transfer.
- [1] Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of physics. John Wiley & Sons.
- [2] Serway, R. A., & Jewett, J. W. (2018). Physics for scientists and engineers. Cengage Learning.
The following table summarizes the calculations performed in this study:
| Quantity | Value |
|---|---|
| m (metal block) | 300g |
| c (specific heat capacity) | 0.79 cal/g°C |
| T1 (initial temperature of metal block) | 150°C |
| T2 (initial temperature of specific heat liquid) | 35°C |
| ΔT (temperature difference) | 115°C |
| Q (heat energy transferred) | 26655 cal |
| m (specific heat liquid) | 200g |
| c (specific heat capacity) | 0.79 cal/g°C |
| Tf (final temperature) | 203.5°C |