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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

  1. If you have 2.5 moles of P₄, what is the total mass? (Answer: 310 g)
  2. How many P₄ molecules are in 248 g of phosphorus? (Answer: 1.204 × 10²⁴ molecules)
  3. Calculate the mass of phosphorus atoms in 372 g of P₄. (Answer: 372 g - all atoms are P)
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The gram molecular mass of phosphorus is (Note: GAW of P=31 g)