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. Provide a step-by-step calculation.

To calculate the heat required to raise the temperature of a mass, we use the formula for heat transfer:

\[
Q = mc\Delta T
\]

Where:
- \(Q\) = heat energy (in joules, J)
- \(m\) = mass of the object (in kilograms, kg)
- \(c\) = specific heat capacity of the material (in joules per kilogram per degree Celsius, J/kg°C)
- \(\Delta T\) = change in temperature (in degrees Celsius, °C)

### Given:
- Mass of the object, \(m = 1.5 \, \text{kg}\)
- Change in temperature, \(\Delta T = 120 \, \text{°C}\)
- Specific heat capacity, \(c\) (which hasn't been provided, so I'll leave it as a variable)

### Step-by-Step Calculation:
1. **Identify known quantities:**
   - \(m = 1.5 \, \text{kg}\)
   - \(\Delta T = 120 \, \text{°C}\)

2. **Substitute into the formula:**
   \[
   Q = 1.5 \times c \times 120
   \]

3. **Simplify the expression:**
   \[
   Q = 180 \times c
   \]

### Final Answer:
The heat required to raise the temperature of the object is \( Q = 180c \, \text{J} \), where \( c \) is the specific heat capacity of the material.

To find the exact value, you would need to know the specific heat capacity \( c \) of the substance. Common materials like water have a specific heat capacity of 4186 J/kg°C, while metals like iron have a specific heat capacity around 450 J/kg°C.

Would you like me to continue with specific heat values, or do you have any other questions?

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Here are some related questions:
1. What is the specific heat of common materials like water, iron, or aluminum?
2. How does specific heat capacity affect the heat required for temperature changes?
3. What is the difference between heat capacity and specific heat capacity?
4. How does mass influence the heat required to raise an object's temperature?
5. Can this calculation be applied to phase changes like melting or boiling?

**Tip:** Always ensure to use the correct units for specific heat capacity to match with the mass and temperature values in calculations!

Learn how to calculate the heat required to raise the temperature of a 1.5 kg mass by 120°C using the heat transfer formula Q = mcΔT. This step-by-step guide covers the essential concepts of thermodynamics and heat transfer. Suitable for students in Grades 10-12.

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