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Q.
The gram molecular mass of phosphorus is (Note: GAW of P=31 g)
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a
62 g
b
93 g
c
124 g
d
124 amu
answer is C.
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Detailed Solution
Understanding Phosphorus Molecular Structure
Phosphorus doesn't exist as single atoms (P) in nature. Instead, it forms stable tetrahedral molecules of P₄ (tetraphosphorus). This molecular form is the most common allotrope of white phosphorus and is crucial for understanding molecular mass calculations.
Key Chemistry Concepts
- Gram Atomic Weight (GAW): Mass of one mole of atoms = 31 g/mol for phosphorus
- Molecular Formula: P₄ (four phosphorus atoms per molecule)
- Gram Molecular Mass: Total mass of one mole of P₄ molecules
Calculation Method
Formula: Gram Molecular Mass = Number of atoms × Gram Atomic Weight
Calculation:
Gram Molecular Mass of P₄ = 4 × 31 g/mol = 124 g/mol
Why This Matters in Chemistry
Understanding molecular mass is essential for:
- Stoichiometric calculations in chemical reactions
- Molarity and molality solution preparations
- Gas law applications involving phosphorus compounds
- Industrial chemistry processes using phosphorus
Expert Chemistry Insights
Phosphorus Allotropes and Their Significance
White phosphorus (P₄) is just one form of phosphorus. Other allotropes include:
- Red phosphorus: Polymeric structure, more stable
- Black phosphorus: Layered structure, semiconductor properties
- Violet phosphorus: Another polymeric form
Each allotrope has different molecular arrangements, but P₄ remains the standard reference for molecular mass calculations in most chemistry contexts.
Laboratory Applications
In analytical chemistry laboratories, the 124 g/mol molecular mass of P₄ is used for:
- Preparing standard phosphorus solutions
- Calculating yields in phosphorus-containing reactions
- Quality control in phosphorus compound synthesis
- Environmental analysis of phosphorus contamination
Related Chemistry Concepts
Molar Mass vs Molecular Mass
Molar mass (g/mol) and molecular mass (amu) represent the same quantity in different units.
Avogadro's Number
6.022 × 10²³ molecules of P₄ have a mass of exactly 124 grams.
Chemical Bonding in P₄
Tetrahedral structure with P-P single bonds, explaining its molecular stability.
Additional Practice Problems
- If you have 2.5 moles of P₄, what is the total mass? (Answer: 310 g)
- How many P₄ molecules are in 248 g of phosphorus? (Answer: 1.204 × 10²⁴ molecules)
- Calculate the mass of phosphorus atoms in 372 g of P₄. (Answer: 372 g - all atoms are P)
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