How Much Heat Is Needed To Warm 0.072 Kg Of Gold From $20^{\circ} C$ To $90^{\circ} C$ If The Specific Heat Is $136 , \text{J} / \text{kg}^{\circ} C$?
Heat transfer is a fundamental concept in physics that deals with the movement of thermal energy from one body to another due to a temperature difference. In this article, we will explore the concept of heat transfer and how it can be applied to a real-world scenario, specifically warming a certain amount of gold from a lower temperature to a higher temperature.
The Problem
We are given a problem where we need to determine the amount of heat required to warm 0.072 kg of gold from an initial temperature of $20^{\circ} C$ to a final temperature of $90^{\circ} C$. The specific heat capacity of gold is given as $136 , \text{J} / \text{kg}^{\circ} C$. To solve this problem, we will use the formula for heat transfer, which is given by:
where $Q$ is the amount of heat required, $m$ is the mass of the object, $c$ is the specific heat capacity, and $\Delta T$ is the change in temperature.
Calculating the Change in Temperature
The change in temperature is calculated by subtracting the initial temperature from the final temperature. In this case, the initial temperature is $20^{\circ} C$ and the final temperature is $90^{\circ} C$.
Applying the Formula for Heat Transfer
Now that we have the change in temperature, we can apply the formula for heat transfer to calculate the amount of heat required.
Interpreting the Results
The result of the calculation shows that the amount of heat required to warm 0.072 kg of gold from $20^{\circ} C$ to $90^{\circ} C$ is approximately 7.3984 J.
Real-World Applications
The concept of heat transfer is crucial in various real-world applications, such as:
- Heating and Cooling Systems: Heat transfer is used in heating and cooling systems to transfer heat from one location to another.
- Thermal Energy Storage: Heat transfer is used in thermal energy storage systems to store thermal energy for later use.
- Materials Science: Heat transfer is used in materials science to study the thermal properties of materials.
Conclusion
In conclusion, the amount of heat required to warm 0.072 kg of gold from $20^{\circ} C$ to $90^{\circ} C$ is approximately 7.3984 J. This calculation demonstrates the importance of heat transfer in various real-world applications. By understanding the concept of heat transfer, we can design and optimize systems that efficiently transfer heat from one location to another.
Additional Information
- Specific Heat Capacity: The specific heat capacity of a substance is the amount of heat energy required to raise the temperature of a unit mass of the substance by one degree Celsius.
- Heat Transfer Mechanisms: There are three main heat transfer mechanisms: conduction, convection, and radiation.
- Thermal Energy: Thermal energy is the total internal kinetic energy of the particles in an object due to their random motion.
References
- Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of Physics **. John Wiley & Sons._
- Cengel, Y. A. (2018). Heat and Mass Transfer: Fundamentals and Applications **. McGraw-Hill Education._
- Incropera, F. P., & Dewitt, D. P. (2017). Fundamentals of Heat and Mass Transfer **. John Wiley & Sons._
Frequently Asked Questions (FAQs) About Heat Transfer =====================================================
In the previous article, we explored the concept of heat transfer and how it can be applied to a real-world scenario, specifically warming a certain amount of gold from a lower temperature to a higher temperature. In this article, we will answer some frequently asked questions (FAQs) about heat transfer.
Q: What is heat transfer?
A: Heat transfer is the movement of thermal energy from one body to another due to a temperature difference. It is a fundamental concept in physics that deals with the transfer of heat energy between objects.
Q: What are the three main heat transfer mechanisms?
A: The three main heat transfer mechanisms are:
- Conduction: The transfer of heat energy through direct contact between objects.
- Convection: The transfer of heat energy through the movement of fluids.
- Radiation: The transfer of heat energy through electromagnetic waves.
Q: What is specific heat capacity?
A: Specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius. It is a measure of a substance's ability to absorb and release heat energy.
Q: How is heat transfer used in real-world applications?
A: Heat transfer is used in various real-world applications, such as:
- Heating and Cooling Systems: Heat transfer is used in heating and cooling systems to transfer heat from one location to another.
- Thermal Energy Storage: Heat transfer is used in thermal energy storage systems to store thermal energy for later use.
- Materials Science: Heat transfer is used in materials science to study the thermal properties of materials.
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 an object, while heat is the transfer of thermal energy from one object to another.
Q: Can heat transfer occur without a temperature difference?
A: Yes, heat transfer can occur without a temperature difference. For example, in a system where there is a temperature gradient, heat can be transferred from a region of higher temperature to a region of lower temperature, even if the overall temperature of the system remains constant.
Q: What is the significance of heat transfer in engineering?
A: Heat transfer is a crucial concept in engineering, as it is used to design and optimize systems that efficiently transfer heat from one location to another. Understanding heat transfer is essential for the development of various engineering applications, such as power generation, refrigeration, and materials processing.
Q: Can heat transfer be used to generate electricity?
A: Yes, heat transfer can be used to generate electricity. For example, in a steam turbine, heat is transferred from a high-temperature fluid to a low-temperature fluid, causing the fluid to expand and drive a turbine, which generates electricity.
Q: What are some common applications of heat transfer in everyday life?
A: Some common applications of heat transfer in everyday life include:
- Heating and Cooling Systems: Heat transfer is used in heating and cooling systems to transfer heat from one location to another.
- Refrigeration: Heat transfer is used in refrigeration systems to transfer heat from a cold region to a hot region.
- Cooking: Heat transfer is used in cooking to transfer heat from a heat source to a food item.
Conclusion
In conclusion, heat transfer is a fundamental concept in physics that deals with the transfer of heat energy between objects. Understanding heat transfer is essential for the development of various engineering applications, such as power generation, refrigeration, and materials processing. By answering some frequently asked questions about heat transfer, we hope to have provided a better understanding of this important concept.