The image shows a section titled "5.3.2 Heat Transfer," which describes the formula used to calculate the amount of heat required to change the temperature of a given weight of a material. The formula given is:

$Q = W \cdot C \cdot (T_f - T_i)$

where:

• $Q$ = amount of heat needed
• $W$ = weight of the material
• $C$ = specific heat of the material
• $T_f$ = final temperature of the material
• $T_i$ = initial temperature of the material

Example Problem:

The example problem provided is:

Question: What is the heat required to raise the temperature of a 1.5 kg mass by 120°C if the specific heat of the material is 0.37 cal/g°C?

Solution: $Q = 1.5 \, \text{kg} \times 1000 \, \text{g/kg} \times 0.37 \, \text{cal/g}^\circ\text{C} \times 120^\circ\text{C} = 66600 \, \text{cal}$

Explanation:

To find the heat required, the weight is converted from kilograms to grams (since the specific heat is given in cal/g°C). Then, all values are multiplied according to the formula.

Would you like further details, or do you have any questions?

Related Questions:

1. How do you convert between different units of specific heat (e.g., cal/g°C to J/g°C)?
2. What is the specific heat, and why does it vary between different materials?
3. How would the formula change if the weight was given in pounds instead of kilograms?
4. What happens to the amount of heat required if the specific heat of the material doubles?
5. How can this formula be applied to a material that undergoes a phase change?

Tip: Remember that specific heat is a measure of how much heat energy is required to change the temperature of a unit mass of a material by 1 degree Celsius.