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Maximum number of molecules are present in :

  • A.15L of \(\mathrm{H_{2}}\) at STP
  • B.10L of \(\mathrm{O_{2}}\) at STP
  • C.0.5 g of \(\mathrm{H_{2}}\)
  • D.1.0 mol of \(\mathrm{O_{2}}\) gas

Answer: D

The maximum number of molecules is in 1.0 mol of O2 gas.

Compare the amounts in moles, taking 22.4 L per mole at STP:

\[ \begin{aligned} 15\ \mathrm{L\ H_{2}} &= 15/22.4 = 0.67\ \mathrm{mol} \\ 10\ \mathrm{L\ O_{2}} &= 10/22.4 = 0.45\ \mathrm{mol} \\ 0.5\ \mathrm{g\ H_{2}} &= 0.5/2 = 0.25\ \mathrm{mol} \\ \mathrm{O_{2}} &= 1.0\ \mathrm{mol} \end{aligned} \]

The number of molecules is proportional to moles, so 1.0 mol, 6.02 × 1023 molecules, is the largest. Hydrogen's low molar mass does not help when only 0.5 g is taken.

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