Oxygen molecule is ______ times heavier than Helium molecule? (A) 2 (B) 4 (C) 8 (D) 16

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Oxygen molecule is ______ times heavier than Helium molecule? (A) 2 (B) 4 (C) 8 (D) 16

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Answer 1 · 2017-07-25T19:46:53

Well, helium molecule , ${He}_{2}$ $"He"_2$ , doesn't exist for any appreciable amount of time, but helium atom, $He$ $"He"$ , does...

And helium atom has the atomic mass $4.0026 g/mol$ $"4.0026 g/mol"$ , while oxygen molecule has the molecular mass $31.998 g/mol$ $"31.998 g/mol"$ .

Hence, oxygen molecule is about $8$ $8$ times as MASSIVE, and under the same gravitational field, is about $8$ $8$ times as heavy.

${\to F}_{g (H e)} = m_{H e} \to g$ $vecF_g(He) = m_(He)vecg$

${\to F}_{g (O_{2})} = m_{O_{2}} \to g$ $vecF_g(O_2) = m_(O_2)vecg$

$\Rightarrow \frac{{\to F}_{g (O_{2})}}{{\to F}_{g (H e)}} = \frac{m_{O_{2}}}{m_{H e}} \approx 8$ $=> (vecF_g(O_2))/(vecF_g(He)) = m_(O_2)/(m_(He)) ~~ 8$

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Oxygen molecule is ______ times heavier than Helium molecule? (A) 2 (B) 4 (C) 8 (D) 16

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