Essential Gas Laws and Ideal Gas Equations
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1. Gas Laws
All gas samples can be described by 4 properties (m, n, V, T). These properties are easily measured in gases. All gases behave similarly when varying P, V, and T.
1.1. PV Relationship (Boyle's Law)
When T is constant: Pi · Vi = Pf · Vf (1 atm = 1013 × 105 Pa; 1 atm = 760 mmHg).
1.2. PT Relationship (Gay-Lussac's Law)
When V is constant: Pi / Ti = Pf / Tf.
1.3. PVT Relationship (Combined Gas Law)
For any mass of gas, the product of P and V divided by T is constant: (Pi · Vi) / Ti = (Pf · Vf) / Tf.
1.4. Avogadro's Hypothesis
If different gases are at the same P, T, and V, they contain the same number of molecules. Therefore, 1 mole of gas occupies the same volume under the same conditions. (Standard conditions: 1 atm, 273 K, 22.4 L).