How Much Heat Is Needed To Raise The Temperature Of 50 G Of A Substance By $15^{\circ} C$ When The Specific Heat Is $0.92 \, \text{J/g} \, ^{\circ} \text{C}$?A. 65 J B. 250 J C. 345 J D. 690 J
Understanding the Basics of Heat Transfer
Heat transfer is a fundamental concept in physics and chemistry that deals with the transfer 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 specific heat capacity, and how they are related to each other.
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 a measure of the ability of a substance to absorb and release heat energy. The specific heat capacity of a substance is usually denoted by the symbol 'c' and is expressed in units of joules per gram per degree Celsius (J/g°C).
The Formula for Heat Transfer
The formula for heat transfer is given by:
Q = mcΔT
where Q is the amount of heat energy transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
Calculating the Amount of Heat Energy Required
In this problem, we are given the mass of the substance (50 g), the specific heat capacity of the substance (0.92 J/g°C), and the change in temperature (15°C). We need to calculate the amount of heat energy required to raise the temperature of the substance by 15°C.
Applying the Formula
Using the formula Q = mcΔT, we can plug in the values given in the problem:
Q = (50 g) × (0.92 J/g°C) × (15°C)
Solving for Q
To solve for Q, we need to multiply the values together:
Q = 50 × 0.92 × 15 Q = 690 J
Conclusion
Therefore, the amount of heat energy required to raise the temperature of 50 g of a substance by 15°C when the specific heat is 0.92 J/g°C is 690 J.
Understanding the Options
Now that we have calculated the amount of heat energy required, let's take a look at the options provided:
A. 65 J B. 250 J C. 345 J D. 690 J
Which Option is Correct?
Based on our calculation, the correct answer is:
D. 690 J
Why is this Option Correct?
This option is correct because it matches the value we calculated using the formula Q = mcΔT.
What is the Significance of this Calculation?
This calculation is significant because it helps us understand the relationship between heat energy, mass, specific heat capacity, and temperature change. It also helps us to calculate the amount of heat energy required to raise the temperature of a substance by a certain amount.
Real-World Applications
This concept has many real-world applications, such as:
- Heating and Cooling Systems: Understanding heat transfer and specific heat capacity is crucial in designing heating and cooling systems, such as air conditioners and refrigerators.
- Thermal Energy Storage: This concept is also important in thermal energy storage systems, such as batteries and thermal energy storage tanks.
- Materials Science: Understanding heat transfer and specific heat capacity is also important in materials science, where it is used to design materials with specific thermal properties.
Conclusion
In conclusion, heat transfer and specific heat capacity are fundamental concepts in physics and chemistry that are used to calculate the amount of heat energy required to raise the temperature of a substance by a certain amount. This concept has many real-world applications, and understanding it is crucial in designing heating and cooling systems, thermal energy storage systems, and materials with specific thermal properties.
Understanding the Basics of Heat Transfer
Heat transfer is a fundamental concept in physics and chemistry that deals with the transfer 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 specific heat capacity, and how they are related to each other.
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 a measure of the ability of a substance to absorb and release heat energy. The specific heat capacity of a substance is usually denoted by the symbol 'c' and is expressed in units of joules per gram per degree Celsius (J/g°C).
The Formula for Heat Transfer
The formula for heat transfer is given by:
Q = mcΔT
where Q is the amount of heat energy transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
Calculating the Amount of Heat Energy Required
In this problem, we are given the mass of the substance (50 g), the specific heat capacity of the substance (0.92 J/g°C), and the change in temperature (15°C). We need to calculate the amount of heat energy required to raise the temperature of the substance by 15°C.
Applying the Formula
Using the formula Q = mcΔT, we can plug in the values given in the problem:
Q = (50 g) × (0.92 J/g°C) × (15°C)
Solving for Q
To solve for Q, we need to multiply the values together:
Q = 50 × 0.92 × 15 Q = 690 J
Conclusion
Therefore, the amount of heat energy required to raise the temperature of 50 g of a substance by 15°C when the specific heat is 0.92 J/g°C is 690 J.
Understanding the Options
Now that we have calculated the amount of heat energy required, let's take a look at the options provided:
A. 65 J B. 250 J C. 345 J D. 690 J
Which Option is Correct?
Based on our calculation, the correct answer is:
D. 690 J
Why is this Option Correct?
This option is correct because it matches the value we calculated using the formula Q = mcΔT.
What is the Significance of this Calculation?
This calculation is significant because it helps us understand the relationship between heat energy, mass, specific heat capacity, and temperature change. It also helps us to calculate the amount of heat energy required to raise the temperature of a substance by a certain amount.
Real-World Applications
This concept has many real-world applications, such as:
- Heating and Cooling Systems: Understanding heat transfer and specific heat capacity is crucial in designing heating and cooling systems, such as air conditioners and refrigerators.
- Thermal Energy Storage: This concept is also important in thermal energy storage systems, such as batteries and thermal energy storage tanks.
- Materials Science: Understanding heat transfer and specific heat capacity is also important in materials science, where it is used to design materials with specific thermal properties.
Conclusion
In conclusion, heat transfer and specific heat capacity are fundamental concepts in physics and chemistry that are used to calculate the amount of heat energy required to raise the temperature of a substance by a certain amount. This concept has many real-world applications, and understanding it is crucial in designing heating and cooling systems, thermal energy storage systems, and materials with specific thermal properties.
Frequently Asked Questions
Q: What is heat transfer?
A: Heat transfer is the transfer of thermal energy from one body to another due to a temperature difference.
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 (or Kelvin).
Q: What is the formula for heat transfer?
A: The formula for heat transfer is Q = mcΔT, where Q is the amount of heat energy transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
Q: How do I calculate the amount of heat energy required to raise the temperature of a substance?
A: To calculate the amount of heat energy required, you need to use the formula Q = mcΔT, where Q is the amount of heat energy transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
Q: What are some real-world applications of heat transfer and specific heat capacity?
A: Some real-world applications of heat transfer and specific heat capacity include designing heating and cooling systems, thermal energy storage systems, and materials with specific thermal properties.
Q: Why is understanding heat transfer and specific heat capacity important?
A: Understanding heat transfer and specific heat capacity is important because it helps us to calculate the amount of heat energy required to raise the temperature of a substance by a certain amount, which is crucial in designing heating and cooling systems, thermal energy storage systems, and materials with specific thermal properties.
Q: What are some common mistakes to avoid when calculating heat transfer and specific heat capacity?
A: Some common mistakes to avoid when calculating heat transfer and specific heat capacity include:
- Not using the correct units: Make sure to use the correct units for mass, specific heat capacity, and temperature change.
- Not plugging in the correct values: Make sure to plug in the correct values for mass, specific heat capacity, and temperature change.
- Not using the correct formula: Make sure to use the correct formula for heat transfer, which is Q = mcΔT.
Q: How can I apply heat transfer and specific heat capacity in my daily life?
A: You can apply heat transfer and specific heat capacity in your daily life by:
- Designing heating and cooling systems: Understanding heat transfer and specific heat capacity is crucial in designing heating and cooling systems, such as air conditioners and refrigerators.
- Using thermal energy storage systems: This concept is also important in thermal energy storage systems, such as batteries and thermal energy storage tanks.
- Designing materials with specific thermal properties: Understanding heat transfer and specific heat capacity is also important in materials science, where it is used to design materials with specific thermal properties.