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Mole concept (Avogadro application): How many water molecules are present in a drop of water of volume 0.0018 mL at room temperature? Use density ≈ 1 g/mL and molar mass of water = 18 g/mol for the calculation. Choose the correct value.

Difficulty: Easy

Correct Answer: 6.023 × 10^19

Explanation:

Given data

  • Volume = 0.0018 mL; ρ(H2O) ≈ 1 g/mL; M(H2O) = 18 g/mol; NA = 6.023 × 1023 mol−1.


Step-by-Step calculation
Mass = 0.0018 mL × 1 g/mL = 0.0018 gMoles = 0.0018 g ÷ 18 g/mol = 1.0 × 10−4 molNumber of molecules = 1.0 × 10−4 × 6.023 × 1023 = 6.023 × 1019


Common pitfalls
Mixing up milliliters and liters or forgetting that density is ~1 g/mL for water at room temperature.


Final Answer
6.023 × 10^19

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