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Which sample, measured at room temperature and pressure, contains the greatest number of the stated particles?
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Since the problem requires the greatest number of the particles listed, I think the problem can be posed and then solved as follows.
You have to calculate the number of moles in each sample and then transform them into number of molecules.
A) 1g of hydrogen molecules (H2)
Molar mass of H2: 2 g/mol
Number of moles: (1 g)/(2 g/mol) = 0.5 mol
Number of molecules: 0.5 mol x 6.022 x 10^23 molecules/mol = 3.011 x 10^23 molecules
B) 1g of helium molecules (He)
Molar mass of He: 4 g/mol
Number of moles: (1 g)/(4 g/mol) = 0.25 mol
Number of molecules: 0.25 mol x 6.022 x 10^23 molecules/mol ≈ 1.506 x 10^23 molecules
C) 1dm^3 of hydrogen molecules (H2) at RTP
Number of moles: (1 dm^3)/(24 dm^3/mol) = 0.0417 mol
Number of molecules: 0.0417 mol x 6.022 x 10^23 molecules/mol = 2.51 x 10^22 molecules
D) 1dm^3 of helium molecules (He) at RTP
Number of moles: (1 dm^3)/(24 dm^3/mol) = 0.0417 mol
Number of molecules: 0.0417 mol x 6.022 x 10^23 molecules/mol = 2.51 x 10^22 molecules
You can see that 1 g of hydrogen molecules (A) contains the greatest number of molecules (3.011 x 10^23). So, the answer is A.
Regards,
Sandro