Thermodynamics Formula Sheet

Thermal Expansion §

Linear Thermal Expansion §

• Type of material ($\alpha$), measured in $\frac{1}{K}$ (or $K^{-1}$)
• Length ($L_i$), in meters (m)
• Change in Temperature ($\Delta T$), in Celsius (C)

$$\begin{array}{rl}\Delta L& =\alpha L_i\Delta T\end{array}$$

Specific Heat Calculations §

Heat Capacity §

See thermo

• Heat ($Q$) in calories (cal) or Joules (J)
• Mass ($m$) in grams (g)
• Specific heat ($c$) in (${\frac{J}{g}}^{\circ }C$)
• Change in temperature ($\Delta T$) in ${}^{\circ }C$

$$Q=mc\Delta T$$

$$Q=mc(T_f-T_i)$$

Heat Gained §

Heat gained = heat lost

• $Q_{1,2}$, heat gained, lost, in calories (cal) or Joules (J)

$$Q_1=-Q_2$$