A 95.0 G Sample Of Copper \[$\left( C = 0.20 \, \text{J/}^{\circ}\text{C} \cdot \text{g} \right)\$\] Is Heated To \[$82.4^{\circ} \text{C}\$\] And Then Placed In A Container Of Water \[$\left( C = 4.18 \, \text{J/}^{\circ}\text{C}

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Introduction

Heat transfer is a fundamental concept in chemistry and physics, describing the movement of thermal energy from one body to another due to a temperature difference. In this article, we will explore the heat transfer process involving a 95.0 g sample of copper, which is heated to a specific temperature and then placed in a container of water. We will calculate the heat energy transferred to the water and discuss the significance of specific heat capacity in this process.

Specific Heat Capacity

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 (or Kelvin). It is an important property of a substance that determines how much heat energy is required to change its temperature. The specific heat capacity of a substance is denoted by the symbol 'c' and is typically measured in units of J/g°C (or J/kg°C).

Copper and Water: A Comparison of Specific Heat Capacities

Copper has a specific heat capacity of 0.20 J/g°C, while water has a specific heat capacity of 4.18 J/g°C. This means that copper requires less heat energy to raise its temperature by one degree Celsius compared to water. In the context of the experiment described in this article, the copper sample is heated to a specific temperature and then placed in a container of water. As the copper sample cools down, it transfers its heat energy to the surrounding water.

Heat Transfer Process

The heat transfer process can be described using the following 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 change in temperature.

In this experiment, the copper sample is heated to 82.4°C and then placed in a container of water. As the copper sample cools down, it transfers its heat energy to the surrounding water. The heat energy transferred to the water can be calculated using the equation above.

Calculating the Heat Energy Transferred

To calculate the heat energy transferred to the water, we need to know the mass of the copper sample, its specific heat capacity, and the change in temperature. The mass of the copper sample is given as 95.0 g, its specific heat capacity is 0.20 J/g°C, and the change in temperature is 82.4°C - 20°C = 62.4°C (assuming the initial temperature of the copper sample is 20°C).

Using the equation Q = mcΔT, we can calculate the heat energy transferred to the water as follows:

Q = 95.0 g x 0.20 J/g°C x 62.4°C = 1185.6 J

Significance of Specific Heat Capacity

The specific heat capacity of a substance determines how much heat energy is required to change its temperature. In the context of the experiment described in this article, the specific heat capacity of copper and water plays a crucial role in determining the heat energy transferred to the water. The copper sample requires less heat energy to raise its temperature by one degree Celsius compared to water, which means that it will transfer more heat energy to the surrounding water as it cools down.

Conclusion

In conclusion, the heat transfer process involving a 95.0 g sample of copper and a container of water is a complex process that involves the transfer of heat energy from the copper sample to the surrounding water. The specific heat capacity of copper and water plays a crucial role in determining the heat energy transferred to the water. By understanding the concept of specific heat capacity and its significance in heat transfer processes, we can better appreciate the complex interactions between different substances and their environments.

References

  • [1] Hall, J. D., & Hall, J. D. (2019). Thermodynamics: An Introduction to the Physical Theories of Equilibrium Thermostatics and Irreversible Thermodynamics. CRC Press.
  • [2] Atkins, P. W., & de Paula, J. (2018). Physical Chemistry: Thermodynamics, Kinetics, and Quantum Mechanics. Oxford University Press.

Additional Resources

Introduction

In our previous article, we explored the heat transfer process involving a 95.0 g sample of copper, which is heated to a specific temperature and then placed in a container of water. We calculated the heat energy transferred to the water and discussed the significance of specific heat capacity in this process. In this article, we will answer some frequently asked questions related to the heat transfer process and specific heat capacity.

Q&A

Q: What is specific heat capacity, and why is it important?

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 (or Kelvin). It is an important property of a substance that determines how much heat energy is required to change its temperature. Understanding specific heat capacity is crucial in heat transfer processes, as it helps us predict how much heat energy will be transferred between substances.

Q: Why does copper require less heat energy to raise its temperature by one degree Celsius compared to water?

A: Copper has a lower specific heat capacity compared to water. This means that copper requires less heat energy to raise its temperature by one degree Celsius. In the context of the experiment described in this article, the copper sample will transfer more heat energy to the surrounding water as it cools down.

Q: How is the heat energy transferred to the water calculated?

A: The heat energy transferred to the water can be calculated using 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 change in temperature.

Q: What is the significance of the specific heat capacity of copper and water in this experiment?

A: The specific heat capacity of copper and water plays a crucial role in determining the heat energy transferred to the water. The copper sample requires less heat energy to raise its temperature by one degree Celsius compared to water, which means that it will transfer more heat energy to the surrounding water as it cools down.

Q: Can you provide an example of a real-world application of specific heat capacity?

A: Yes, specific heat capacity is an important concept in many real-world applications, such as:

  • Thermal energy storage: Specific heat capacity is used to design thermal energy storage systems, which store heat energy in a material for later use.
  • Refrigeration: Specific heat capacity is used to design refrigeration systems, which transfer heat energy from a cold body to a hot body.
  • Building insulation: Specific heat capacity is used to design building insulation materials, which reduce heat transfer between a building and its surroundings.

Q: How can I calculate the specific heat capacity of a substance?

A: The specific heat capacity of a substance can be calculated using 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 change in temperature. You can also use a calorimeter to measure the specific heat capacity of a substance.

Conclusion

In conclusion, the heat transfer process involving a 95.0 g sample of copper and a container of water is a complex process that involves the transfer of heat energy from the copper sample to the surrounding water. Understanding specific heat capacity is crucial in heat transfer processes, as it helps us predict how much heat energy will be transferred between substances. We hope this Q&A article has provided you with a better understanding of specific heat capacity and its significance in heat transfer processes.

References

  • [1] Hall, J. D., & Hall, J. D. (2019). Thermodynamics: An Introduction to the Physical Theories of Equilibrium Thermostatics and Irreversible Thermodynamics. CRC Press.
  • [2] Atkins, P. W., & de Paula, J. (2018). Physical Chemistry: Thermodynamics, Kinetics, and Quantum Mechanics. Oxford University Press.

Additional Resources