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How many molecules are there in 6 g of H_(2) ? (Hint: the A_(r) of hydrogen is 1.) A 1.20times 10^24 B 1.81times 10^24 C 2.41times 10^24 6.02times 10^23

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How many molecules are there in 6 g of H_(2) ? (Hint: the A_(r) of hydrogen is 1.)
A 1.20times 10^24
B 1.81times 10^24
C 2.41times 10^24
6.02times 10^23

How many molecules are there in 6 g of H_(2) ? (Hint: the A_(r) of hydrogen is 1.) A 1.20times 10^24 B 1.81times 10^24 C 2.41times 10^24 6.02times 10^23

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CatherineProfessional · Tutor for 6 years

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B

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The first technique here will be to apply Avogadro's principle, which stipulates that one mole of any gas, at recognized constant temperature and pressure, contains equal numbers of molecules or atoms. But one mole of a mia-atomic compound such as HI_\_2 (\_\_2 signifies two identical hydrogen atoms) has a value twice as large in grams as given by Ar, which is 1: therefore, the weight of one mole of hydrogen gas (H2) is 2 grams.<br /><br />Thus, 6 grams are equivalent to 3 moles of hydrogen (from 6 / 2 ratio).<br /><br />Secondly, and following Avogadro's principle, 1 mole of a gas (e.g., H2 here) contains \(6.02 \times 10^{23}\) molecules of this gas.<br /> <br />Hence, one would reliably argue that, because 6 grams of H2 constitute 3 moles of this gas (as previously specified), the gas would contain three times the number of molecules in one mole, i.e., \(6.02 \times 10^{23}\) * 3 = \(1.80 \times 10^{24}\) molecules, rounding the figure to a rational degree. <br /><br />The approximate number of moles in 6 grams of H2\ is closer to option B than any other selection.
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