Answer
🔥 Specific Heat Capacity Calculation
🧾 Step 1: Introduction
Specific heat capacity (c) is the amount of heat required to raise the temperature of 1 kg of a substance by 1°C. It is commonly used in material science and thermodynamics to understand heat transfer.
📌 Step 2: Heat Energy Formula
Q = mcΔT
- Q = Heat energy (Joules)
- m = Mass (kg)
- c = Specific heat capacity (J/kg·°C)
- ΔT = Temperature change (°C)
📊 Step 3: Given Data
| Parameter | Value |
|---|---|
| Mass of metal | 50 g = 0.050 kg |
| Heat absorbed | 2000 J |
| Temperature rise | 10°C |
🧠 Step 4: Rearranging the Formula
To solve for c, rearrange the formula:
c = Q / (m × ΔT)
🔢 Step 5: Substitute Values
c = 2000 / (0.050 × 10) = 2000 / 0.5 = 4000 J/kg·°C
✅ Final Answer: The specific heat capacity of the metal is 4000 J/kg·°C.
📘 Conclusion
This result means that 4000 joules of energy is required to raise the temperature of 1 kg of the given metal by 1°C. This information is useful in designing thermal systems like:
- Cookware and kitchen utensils 🍳
- Heat sinks and exchangers 🌡️
- Engines and motors 🔧
- Thermal insulation materials 🧊