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MHT CET202522 Apr 2025Evening ShiftChemistrySome Basic Concepts of ChemistryActual

Find the number of water molecules in 1 mL of water vapours at STP?

Options

  1. A1.69 10¹⁹
  2. B2.00 10²¹
  3. C1.05 10²¹
  4. D2.69 10¹⁹

Correct answer

D. 2.69 10¹⁹

Step-by-step solution

Calculating water molecules in 1 mL vapor at STP Standard Temperature and Pressure conditions define molar gas volume as 22.4 L/mol. For water vapor occupying 1 mL = 1 10⁻³ L , the number of moles is n = 1 10⁻³ 22.4 = 1 22400 mol . Using Avogadro's number N_A = 6.022 10²³ molecules/mol , the molecular count becomes n N_A = 1 22400 6.022 10²³ . This simplifies to approximately 2.69 10¹⁹ molecules, corresponding to option D.

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