Math Problem Statement
What is the heat required to raise the temperature of a 1.5 kg mass by 120°C if the specific heat of the mass is 0.37 cal./g. °C?
Solution
To find the heat required, we can use the formula:
where:
- is the heat energy required,
- is the mass of the object,
- is the specific heat capacity of the material,
- is the change in temperature.
Let's plug in the given values:
- (since 1 kg = 1000 g),
- ,
- .
Now calculate the heat :
So, the heat required to raise the temperature is 66,600 calories.
Would you like more details or have any questions about this calculation?
Here are five related questions you might find interesting:
- How would the heat required change if the mass were doubled?
- What happens to the heat required if the specific heat capacity changes to 0.50 cal/g°C?
- How much heat is required if the temperature change is only 60°C?
- What is the specific heat in joules if 1 cal = 4.184 J?
- How would the heat calculation differ if the mass was given in pounds instead of kilograms?
Tip: Always make sure to convert units consistently when performing calculations in different systems (e.g., grams vs kilograms).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Thermodynamics
Heat Transfer
Unit Conversion
Formulas
Q = mcΔT
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Heat Required to Raise Temperature of 1.5 kg Mass with Specific Heat of 0.37 cal/g°C
Calculate Heat Required for a 1.5 kg Mass with Specific Heat of 0.37 cal/g°C
Calculate Heat Required to Raise Temperature of 1.5 kg Mass by 120°C
Calculate Heat Transfer to Raise Temperature of a 1.5 kg Mass by 120°C
Heat Transfer Calculation for a 1.5 kg Mass at 120°C