Concept:The ideal gas equation (\( PV = nRT \)) can be manipulated to calculate various macroscopic properties of a gas, such as pressure, volume, moles, temperature, density, and molar mass.
Solution:- Pressure (P): Directly derived as \( P = \frac{nRT}{V} \).
- Moles (n): Directly derived as \( n = \frac{PV}{RT} \).
- Density (d): By substituting \( n = \frac{m}{M} \), we get \( PV = \frac{mRT}{M} \). Rearranging for density (\( m/V \)) gives \( d = \frac{PM}{RT} \).
- Molarity: Molarity is defined as moles of solute per liter of solution (a liquid phase concept). The ideal gas law describes gases in a container, not solutes dissolved in a liquid solvent. Therefore, molarity cannot be calculated using the ideal gas equation.
Why other options are incorrect:- Options A, B, & C: As proven algebraically above, these are all valid properties that can be directly derived from the ideal gas equation.
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