Concept:The ideal gas equation is the definitive equation of state for a hypothetical ideal gas, combining Boyle's, Charles's, and Avogadro's laws.
Solution:- Boyle's Law: \( V \propto \frac{1}{P} \) (at constant T and n).
- Charles's Law: \( V \propto T \) (at constant P and n).
- Avogadro's Law: \( V \propto n \) (at constant P and T).
- Combining these yields \( V \propto \frac{nT}{P} \).
- Introducing the universal gas constant (R) gives \( V = \frac{nRT}{P} \), which rearranges to the standard format: \( PV = nRT \).
Why other options are incorrect:- Option B: Missing Volume (V) entirely.
- Option C: Incorrect mathematical arrangement.
- Option D: Correctly rearranging \( PV=nRT \) for T yields \( T = \frac{PV}{nR} \), making the given expression mathematically invalid.
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