How Many Joules Of Energy Are Needed To Warm 5.00 G Of Silver From 25.0°C To 27.5°C? (The Specific Heat Of Silver Is 0.24 J/g°C.)A. 0.14 J B. 1.2 J C. 3.0 J D. 12.5 J
Introduction
Heat transfer is a fundamental concept in chemistry and physics that deals with the energy transfer between systems due to a temperature difference. In this article, we will explore the concept of specific heat capacity and how it is used to calculate the energy required to warm a substance from one temperature to another.
What is 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 energy is required to change its temperature. The specific heat capacity of a substance is usually denoted by the symbol 'c' and is measured in units of joules per gram per degree Celsius (J/g°C).
Calculating the Energy Required to Warm a Substance
To calculate the energy required to warm a substance from one temperature to another, we can use the following formula:
Q = mcΔT
Where:
- Q is the energy required to warm the substance (in joules)
- m is the mass of the substance (in grams)
- c is the specific heat capacity of the substance (in J/g°C)
- ΔT is the change in temperature (in degrees Celsius)
Applying the Formula to the Given Problem
In this problem, we are asked to calculate the energy required to warm 5.00 g of silver from 25.0°C to 27.5°C. The specific heat capacity of silver is given as 0.24 J/g°C.
First, we need to calculate the change in temperature (ΔT) by subtracting the initial temperature from the final temperature:
ΔT = 27.5°C - 25.0°C = 2.5°C
Next, we can plug in the values into the formula:
Q = mcΔT = (5.00 g) × (0.24 J/g°C) × (2.5°C) = 3.00 J
Conclusion
Therefore, the energy required to warm 5.00 g of silver from 25.0°C to 27.5°C is 3.00 J.
Answer
The correct answer is C. 3.0 J.
Additional Information
- The specific heat capacity of a substance is an important property that determines how much energy is required to change its temperature.
- The formula Q = mcΔT can be used to calculate the energy required to warm a substance from one temperature to another.
- The change in temperature (ΔT) is calculated by subtracting the initial temperature from the final temperature.
Real-World Applications
- Understanding the concept of specific heat capacity is important in various fields such as engineering, chemistry, and physics.
- The ability to calculate the energy required to warm a substance is crucial in designing heating systems, cooling systems, and insulation systems.
- The concept of specific heat capacity is also important in understanding the behavior of materials in different temperature ranges.
Common Mistakes
- Failing to calculate the change in temperature (ΔT) correctly.
- Using the wrong value for the specific heat capacity of the substance.
- Failing to plug in the values into the formula correctly.
Conclusion
Introduction
In our previous article, we explored the concept of specific heat capacity and how it is used to calculate the energy required to warm a substance from one temperature to another. In this article, we will answer some frequently asked questions related to specific heat capacity and heat transfer.
Q: What is the difference between specific heat capacity and 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 (or Kelvin). Heat capacity, on the other hand, is the total amount of heat energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). In other words, specific heat capacity is a property of a substance, while heat capacity is a property of a system.
Q: How do I calculate the energy required to cool a substance?
A: To calculate the energy required to cool a substance, you can use the same formula Q = mcΔT, but with a negative value for ΔT. This is because cooling a substance requires removing heat energy from the substance, rather than adding it.
Q: What is the unit of specific heat capacity?
A: The unit of specific heat capacity is joules per gram per degree Celsius (J/g°C).
Q: How do I determine the specific heat capacity of a substance?
A: The specific heat capacity of a substance can be determined experimentally by measuring the amount of heat energy required to raise the temperature of a known mass of the substance by a known amount. This can be done using a calorimeter or other heat transfer equipment.
Q: Can specific heat capacity be affected by other factors?
A: Yes, specific heat capacity can be affected by other factors such as pressure, temperature, and the presence of impurities. For example, the specific heat capacity of a substance may change with pressure or temperature.
Q: How do I calculate the energy required to warm a substance in a phase change?
A: To calculate the energy required to warm a substance in a phase change, you need to consider the latent heat of fusion or vaporization, in addition to the specific heat capacity. The latent heat of fusion or vaporization is the amount of heat energy required to change the state of a substance from solid to liquid or from liquid to gas.
Q: What is the difference between latent heat of fusion and latent heat of vaporization?
A: Latent heat of fusion is the amount of heat energy required to change the state of a substance from solid to liquid, while latent heat of vaporization is the amount of heat energy required to change the state of a substance from liquid to gas.
Q: Can specific heat capacity be used to calculate the energy required to warm a substance in a phase change?
A: No, specific heat capacity cannot be used to calculate the energy required to warm a substance in a phase change. This is because the energy required to change the state of a substance is not related to the specific heat capacity, but rather to the latent heat of fusion or vaporization.
Conclusion
In conclusion, specific heat capacity is an important property of a substance that determines how much energy is required to change its temperature. Understanding specific heat capacity and how to calculate the energy required to warm a substance is crucial in various fields such as engineering, chemistry, and physics. We hope that this Q&A article has provided you with a better understanding of specific heat capacity and heat transfer.
Additional Resources
- [1] "Specific Heat Capacity" by Wikipedia
- [2] "Heat Transfer" by HyperPhysics
- [3] "Latent Heat" by ScienceDirect
Common Mistakes
- Failing to calculate the change in temperature (ΔT) correctly.
- Using the wrong value for the specific heat capacity of the substance.
- Failing to consider the latent heat of fusion or vaporization in phase change calculations.
Conclusion
In conclusion, specific heat capacity is an important property of a substance that determines how much energy is required to change its temperature. Understanding specific heat capacity and how to calculate the energy required to warm a substance is crucial in various fields such as engineering, chemistry, and physics. We hope that this Q&A article has provided you with a better understanding of specific heat capacity and heat transfer.