Make another example of this simpler and easy to understand,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 0.37cal / (g deg) * C

Solution

Q=1.5x1000 gx0.37 cal/g°C ×120°C = 66600 cal

Let's break down the problem into simpler steps:

### Problem:
You want to find the amount of heat required to raise the temperature of a 1.5 kg object by 120°C. The specific heat capacity of the object is 0.37 calories per gram per degree Celsius (cal/g°C).

### Step-by-step solution:

1. **Convert mass from kg to grams**:
   Since 1 kg = 1000 grams, the mass of 1.5 kg is:
   \[
   1.5 \, \text{kg} \times 1000 = 1500 \, \text{grams}
   \]

2. **Use the heat formula**:
   The formula to calculate the heat required is:
   \[
   Q = m \times c \times \Delta T
   \]
   where:
   - \( Q \) is the heat (in calories),
   - \( m \) is the mass (in grams),
   - \( c \) is the specific heat capacity (in cal/g°C),
   - \( \Delta T \) is the change in temperature (in °C).

3. **Plug in the values**:
   - \( m = 1500 \, \text{g} \),
   - \( c = 0.37 \, \text{cal/g°C} \),
   - \( \Delta T = 120 \, \text{°C} \).

   So, the heat required is:
   \[
   Q = 1500 \, \text{g} \times 0.37 \, \text{cal/g°C} \times 120 \, \text{°C}
   \]
   \[
   Q = 66600 \, \text{calories}
   \]

### Final Answer:
The heat required is **66,600 calories**.

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Would you like more details or have any questions? 

Here are 5 questions related to this topic:
1. How would the heat change if the mass were 2 kg instead of 1.5 kg?
2. What if the specific heat capacity were 0.50 cal/g°C instead of 0.37 cal/g°C?
3. How does the heat required change if the temperature increase is 100°C instead of 120°C?
4. What is the relationship between mass and heat required when all other factors are constant?
5. Can the specific heat capacity change for the same material under different conditions?

**Tip**: Always make sure to convert units properly, like kg to grams, when using formulas!

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?

Find out how to calculate the heat required to raise the temperature of a 1.5 kg mass by 120°C using specific heat capacity. This step-by-step solution covers heat transfer concepts, unit conversion, and the formula Q = m × c × ΔT. Ideal for students in Grades 9-12.

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