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Specific Heat Capacity

📊 beginner
$$Q = mc\Delta T$$
Heat required to change temperature of a substance.
Variables & Units
$Q$
Heat energy
Unit: $\text{J}$
$m$
Mass
Unit: $\text{kg}$
$c$
Specific heat capacity
Unit: $\text{J/(kg·K)}$
$\Delta T$
Temperature change
Unit: $\text{K}$ or $^\circ\text{C}$
Key Information
📐 Derived From
Definition of specific heat
💡 Example
Heat $2\,\text{kg}$ water ($c=4186\,\text{J/(kg·K)}$) from $20^\circ\text{C}$ to $100^\circ\text{C}$: $Q = 2 \times 4186 \times 80 = 669,\!760\,\text{J}$.
🔧 Applications
HVAC, cooking, thermal management
⚠️ Constraints
No phase change, constant $c$

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