A 100 G Sample Of Water Is Heated From 25°C To 75°C. How Much Heat Is Absorbed?
Introduction
In this article, we will explore the concept of heat transfer and how it applies to a 100 g sample of water being heated from 25°C to 75°C. We will use the principles of thermodynamics to calculate the amount of heat absorbed by the water during this process.
Understanding Heat Transfer
Heat transfer is the process by which energy is transferred from one body to another due to a temperature difference. There are three main methods of heat transfer: conduction, convection, and radiation. In this article, we will focus on the heat transfer that occurs when a 100 g sample of water is heated from 25°C to 75°C.
The Specific Heat Capacity of Water
The specific heat capacity of a substance is the amount of heat energy required to raise the temperature of 1 gram of the substance by 1 degree Celsius. The specific heat capacity of water is 4.184 joules per gram per degree Celsius (J/g°C). This means that it takes 4.184 joules of heat energy to raise the temperature of 1 gram of water by 1 degree Celsius.
Calculating the Heat Absorbed
To calculate the amount of heat absorbed by the 100 g sample of water, we can use the following formula:
Q = mcΔT
Where:
- Q is the amount of heat absorbed (in joules)
- m is the mass of the water (in grams)
- c is the specific heat capacity of water (in J/g°C)
- ΔT is the change in temperature (in degrees Celsius)
Plugging in the Values
We know that the mass of the water is 100 g, the specific heat capacity of water is 4.184 J/g°C, and the change in temperature is 50°C (from 25°C to 75°C). Plugging these values into the formula, we get:
Q = 100 g x 4.184 J/g°C x 50°C
Solving for Q
To solve for Q, we can multiply the values together:
Q = 100 g x 4.184 J/g°C x 50°C Q = 20920 J
Conclusion
In this article, we calculated the amount of heat absorbed by a 100 g sample of water when it is heated from 25°C to 75°C. We used the principles of thermodynamics and the specific heat capacity of water to arrive at a final answer of 20920 joules. This calculation demonstrates the importance of understanding heat transfer and the specific heat capacity of substances in various applications.
Real-World Applications
The calculation of heat absorbed by a 100 g sample of water has many real-world applications. For example, in the field of engineering, understanding heat transfer is crucial for designing efficient heating and cooling systems. In the field of chemistry, understanding heat transfer is essential for understanding chemical reactions and the behavior of substances under different conditions.
Limitations of the Calculation
While the calculation of heat absorbed by a 100 g sample of water is a useful tool, it has some limitations. For example, the calculation assumes that the water is heated uniformly and that there are no losses due to conduction or convection. In reality, heat transfer is often more complex and can involve multiple mechanisms.
Future Directions
In the future, it would be interesting to explore the effects of different variables on the heat absorbed by a 100 g sample of water. For example, how does the mass of the water affect the heat absorbed? How does the specific heat capacity of the water affect the heat absorbed? Answering these questions would provide a more complete understanding of heat transfer and its applications.
References
- CRC Handbook of Chemistry and Physics, 97th Edition, 2016
- Thermodynamics: An Introduction to the Physical Theories of Equilibrium Thermostatics and Irreversible Thermodynamics, by Donald G. Miller, 2013
- Heat Transfer: A Practical Approach, by Frank P. Incropera, 2011
A 100 g Sample of Water: Q&A ================================
Introduction
In our previous article, we explored the concept of heat transfer and calculated the amount of heat absorbed by a 100 g sample of water when it is heated from 25°C to 75°C. In this article, we will answer some frequently asked questions (FAQs) related to this topic.
Q: What is the specific heat capacity of water?
A: The specific heat capacity of water is 4.184 joules per gram per degree Celsius (J/g°C). This means that it takes 4.184 joules of heat energy to raise the temperature of 1 gram of water by 1 degree Celsius.
Q: How does the mass of the water affect the heat absorbed?
A: The mass of the water affects the heat absorbed in a linear manner. If the mass of the water is doubled, the heat absorbed will also double. This is because the heat absorbed is directly proportional to the mass of the water.
Q: How does the specific heat capacity of the water affect the heat absorbed?
A: The specific heat capacity of the water affects the heat absorbed in a linear manner. If the specific heat capacity of the water is doubled, the heat absorbed will also double. This is because the heat absorbed is directly proportional to the specific heat capacity of the water.
Q: What is the difference between heat and temperature?
A: Heat and temperature are related but distinct concepts. Temperature is a measure of the average kinetic energy of the particles in a substance, while heat is a measure of the energy transferred between a system and its surroundings. In the context of our previous article, the heat absorbed by the water is a measure of the energy transferred to the water, while the temperature of the water is a measure of the average kinetic energy of the particles in the water.
Q: How does the heat absorbed by the water affect its temperature?
A: The heat absorbed by the water affects its temperature in a linear manner. If the heat absorbed by the water is doubled, its temperature will also double. This is because the heat absorbed is directly proportional to the change in temperature.
Q: What are some real-world applications of heat transfer?
A: Heat transfer has many real-world applications, including:
- Heating and cooling systems: Understanding heat transfer is crucial for designing efficient heating and cooling systems.
- Chemical reactions: Understanding heat transfer is essential for understanding chemical reactions and the behavior of substances under different conditions.
- Materials science: Understanding heat transfer is important for understanding the properties of materials and their behavior under different conditions.
Q: What are some limitations of the calculation of heat absorbed by a 100 g sample of water?
A: The calculation of heat absorbed by a 100 g sample of water assumes that the water is heated uniformly and that there are no losses due to conduction or convection. In reality, heat transfer is often more complex and can involve multiple mechanisms.
Q: What are some future directions for research on heat transfer?
A: Some future directions for research on heat transfer include:
- Exploring the effects of different variables on heat transfer: Understanding how different variables, such as mass, specific heat capacity, and temperature, affect heat transfer.
- Developing new materials with improved heat transfer properties: Developing new materials that can efficiently transfer heat and have improved properties.
- Understanding heat transfer in complex systems: Understanding heat transfer in complex systems, such as those involving multiple materials or multiple heat transfer mechanisms.
Conclusion
In this article, we answered some frequently asked questions related to the calculation of heat absorbed by a 100 g sample of water. We hope that this article has provided a better understanding of heat transfer and its applications.