Concept:The Kinetic Molecular Theory bridges microscopic particle motion to macroscopic properties (pressure and volume) through a fundamental equation.
Formula:$$ PV = \frac{1}{3} mN\overline{c^2} $$
Solution:- In this equation, \( P \) is pressure, \( V \) is volume, \( m \) is the mass of a single gas molecule, \( N \) is the total number of molecules, and \( \overline{c^2} \) is the mean square velocity of the molecules.
- This fundamental derivation from Newtonian mechanics is universally known as the Kinetic gas equation.
- From this single equation, all other simple gas laws (Boyle's, Charles's, Avogadro's) can be mathematically deduced.
Why other options are incorrect:- Option A: The ideal gas equation is \( PV = nRT \).
- Option B: The van der Waals equation introduces correction factors 'a' and 'b' for real gases.
- Option D: The Henderson-Hasselbalch equation is used in acid-base chemistry to calculate the pH of buffer solutions.
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