Understand
A. Heat vs Temperature:
- Heat ($Q$): The form of internal energy transferred between two bodies due to a temperature difference. It is the sum total of kinetic and potential energy of all molecules in the body. SI Unit: Joule ($\text{J}$) ($1\text{ cal} = 4.186\text{ J}$).
- Temperature ($T$): The physical quantity that measures the degree of hotness or coldness of a body, determined by the average kinetic energy of its molecules. SI Unit: Kelvin ($\text{K}$).
B. Thermometric Scales & Master Conversion Equation:
$$\mathbf{\frac{C}{5} = \frac{F - 32}{9} = \frac{K - 273}{5}}$$
- Celsius Scale: Lower Fixed Point (Ice point) $= 0^\circ\text{C}$; Upper Fixed Point (Steam point) $= 100^\circ\text{C}$. (100 divisions).
- Fahrenheit Scale: Ice point $= 32^\circ\text{F}$; Steam point $= 212^\circ\text{F}$. (180 divisions).
- Kelvin Scale: Absolute zero $= 0\text{ K} = -273.15^\circ\text{C}$. $T(\text{K}) = t(^\circ\text{C}) + 273$.
- Classic Discovery: At what temperature do Celsius and Fahrenheit scales read the same value?
$$\frac{x}{5} = \frac{x - 32}{9} \implies 9x = 5x - 160 \implies 4x = -160 \implies \mathbf{x = -40^\circ}$$
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