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:

Q=mcΔTQ = mc\Delta T

Where:

  • QQ is the heat energy (in joules, J),
  • mm is the mass (in kilograms, kg),
  • cc is the specific heat capacity (in joules per kilogram per degree Celsius, J/kg°C),
  • ΔT\Delta T is the change in temperature (in degrees Celsius, °C).

Given:

  • Mass, m=1.5kgm = 1.5 \, \text{kg},
  • Temperature change, ΔT=120C\Delta T = 120^\circ \text{C},
  • Specific heat capacity, cc (value not provided, but can be entered).

To complete the calculation, we need the value of the specific heat capacity cc. 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:

  1. What is the material of the object you're referring to (so we can determine the specific heat)?
  2. How does the specific heat capacity vary with different materials?
  3. What are some common applications of heat transfer calculations in engineering?
  4. How does heat transfer differ in different phases of matter (solid, liquid, gas)?
  5. What is the significance of using correct units in heat transfer calculations?

Tip: For water, the specific heat capacity is commonly 4,186J/kg°C4,186 \, \text{J/kg°C}, 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