Math Problem Statement
Heat transfer 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
Solution
To calculate the heat required to raise the temperature of a mass, we use the formula for heat transfer:
Where:
- is the heat energy (in joules, J),
- is the mass (in kilograms, kg),
- is the specific heat capacity (in joules per kilogram per degree Celsius, J/kg°C),
- is the change in temperature (in degrees Celsius, °C).
Given:
- Mass, ,
- Temperature change, ,
- Specific heat capacity, (value not provided, but can be entered).
To complete the calculation, we need the value of the specific heat capacity . If you provide that, I can calculate the heat required.
Would you like to provide the specific heat, or should I assume a common value for a particular material?
Relative Questions:
- What is the material of the object you're referring to (so we can determine the specific heat)?
- How does the specific heat capacity vary with different materials?
- What are some common applications of heat transfer calculations in engineering?
- How does heat transfer differ in different phases of matter (solid, liquid, gas)?
- What is the significance of using correct units in heat transfer calculations?
Tip: For water, the specific heat capacity is commonly , one of the highest values among substances.
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Math Problem Analysis
Mathematical Concepts
Heat Transfer
Thermodynamics
Formulas
Q = mcΔT (Heat transfer formula)
Theorems
First Law of Thermodynamics
Suitable Grade Level
Grades 10-12
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