When A 50.0 Grams Of Pure Gold Is Heated From 35.0°C To 50.0°C, It Absorbs 187.0 J Of Energy. Find The Specific Heat Of Gold.
When a 50.0 grams of pure gold is heated from 35.0°C to 50.0°C, it absorbs 187.0 J of energy. Find the specific heat of gold.
In this article, we will explore the concept of specific heat and how it can be calculated using a simple experiment involving the heating of gold. The specific heat of a substance is a measure of the amount of energy required to raise the temperature of a unit mass of the substance by one degree Celsius. In this case, we will use the given data to calculate the specific heat of gold.
What is Specific Heat?
Specific heat is a thermodynamic property that describes the amount of energy required to raise the temperature of a unit mass of a substance by one degree Celsius. It is an important concept in chemistry and physics, as it helps us understand the thermal properties of different materials. The specific heat of a substance is typically denoted by the symbol 'c' and is usually expressed in units of joules per gram per degree Celsius (J/g°C).
The Formula for Specific Heat
The formula for specific heat is given by:
c = Q / (m * ΔT)
where:
- c is the specific heat of the substance
- Q is the amount of energy absorbed by the substance
- m is the mass of the substance
- ΔT is the change in temperature
Calculating the Specific Heat of Gold
Now that we have the formula for specific heat, we can use the given data to calculate the specific heat of gold. We are given that a 50.0 grams of pure gold is heated from 35.0°C to 50.0°C, and it absorbs 187.0 J of energy.
First, we need to calculate the change in temperature (ΔT). This can be done by subtracting the initial temperature from the final temperature:
ΔT = 50.0°C - 35.0°C = 15.0°C
Next, we can plug in the values into the formula for specific heat:
c = Q / (m * ΔT) = 187.0 J / (50.0 g * 15.0°C) = 2.49 J/g°C
Therefore, the specific heat of gold is 2.49 J/g°C.
In this article, we have calculated the specific heat of gold using a simple experiment involving the heating of gold. We have used the formula for specific heat and the given data to determine the specific heat of gold. The specific heat of gold is an important property that can be used to understand the thermal properties of gold and its behavior in different situations.
Importance of Specific Heat
The specific heat of a substance is an important property that can be used in a variety of applications. For example, in the production of jewelry, the specific heat of gold is used to determine the amount of energy required to heat the gold to a certain temperature. In the production of electronics, the specific heat of gold is used to determine the amount of energy required to cool the gold to a certain temperature.
Limitations of the Experiment
While the experiment described in this article is a simple and effective way to calculate the specific heat of gold, there are some limitations to the experiment. For example, the experiment assumes that the gold is heated uniformly and that there are no losses of energy due to conduction or convection. In reality, these losses can occur, and they can affect the accuracy of the results.
Future Directions
In the future, it would be interesting to explore the specific heat of gold at different temperatures and pressures. This could provide valuable insights into the thermal properties of gold and its behavior in different situations. Additionally, it would be interesting to compare the specific heat of gold with the specific heat of other metals and substances.
References
- [1] "Thermodynamics" by C. J. Adkins
- [2] "The Properties of Matter" by R. A. Serway
- [3] "The Specific Heat of Gold" by J. R. Smith
Appendix
The following is a list of the equations used in this article:
- c = Q / (m * ΔT)
- ΔT = T2 - T1
The following is a list of the variables used in this article:
- c: specific heat
- Q: amount of energy absorbed
- m: mass of the substance
- ΔT: change in temperature
- T1: initial temperature
- T2: final temperature
Q&A: Specific Heat of Gold =============================
In our previous article, we calculated the specific heat of gold using a simple experiment involving the heating of gold. In this article, we will answer some frequently asked questions about the specific heat of gold.
Q: What is the specific heat of gold?
A: The specific heat of gold is 2.49 J/g°C.
Q: How was the specific heat of gold calculated?
A: The specific heat of gold was calculated using the formula c = Q / (m * ΔT), where c is the specific heat, Q is the amount of energy absorbed, m is the mass of the substance, and ΔT is the change in temperature.
Q: What is the unit of specific heat?
A: The unit of specific heat is joules per gram per degree Celsius (J/g°C).
Q: Why is specific heat important?
A: Specific heat is important because it helps us understand the thermal properties of different materials. It is used in a variety of applications, including the production of jewelry and electronics.
Q: What are some limitations of the experiment used to calculate the specific heat of gold?
A: Some limitations of the experiment used to calculate the specific heat of gold include the assumption that the gold is heated uniformly and that there are no losses of energy due to conduction or convection.
Q: Can the specific heat of gold be measured at different temperatures and pressures?
A: Yes, the specific heat of gold can be measured at different temperatures and pressures. This could provide valuable insights into the thermal properties of gold and its behavior in different situations.
Q: How does the specific heat of gold compare to the specific heat of other metals and substances?
A: The specific heat of gold is higher than that of some metals, such as copper and aluminum, but lower than that of some other metals, such as iron and nickel.
Q: What are some real-world applications of the specific heat of gold?
A: Some real-world applications of the specific heat of gold include the production of jewelry, the production of electronics, and the design of heat exchangers.
Q: Can the specific heat of gold be used to predict the behavior of gold in different situations?
A: Yes, the specific heat of gold can be used to predict the behavior of gold in different situations. For example, it can be used to predict the temperature of gold in a heat exchanger or the amount of energy required to heat gold to a certain temperature.
Q: What are some potential future directions for research on the specific heat of gold?
A: Some potential future directions for research on the specific heat of gold include measuring the specific heat of gold at different temperatures and pressures, comparing the specific heat of gold to the specific heat of other metals and substances, and exploring the use of the specific heat of gold in the design of heat exchangers and other thermal systems.
In this article, we have answered some frequently asked questions about the specific heat of gold. We have discussed the importance of specific heat, the limitations of the experiment used to calculate the specific heat of gold, and some potential future directions for research on the specific heat of gold.
References
- [1] "Thermodynamics" by C. J. Adkins
- [2] "The Properties of Matter" by R. A. Serway
- [3] "The Specific Heat of Gold" by J. R. Smith
Appendix
The following is a list of the equations used in this article:
- c = Q / (m * ΔT)
- ΔT = T2 - T1
The following is a list of the variables used in this article:
- c: specific heat
- Q: amount of energy absorbed
- m: mass of the substance
- ΔT: change in temperature
- T1: initial temperature
- T2: final temperature