A Pound Of Lead Or A Pound Of Feathers?

Chemistry Level 1

10 g of S O X 2 or 10 g of O X 2 \large 10 \text{g of } \ce{SO2} \quad \text{ or } \quad 10 \text{g of } \ce{O2}

Which quantity above has more molecules?

S O X 2 \ce{SO2} O X 2 \ce{O2} As they have same mass, they have same molecules

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2 solutions

Mateus Gomes
Feb 10, 2016

Molecules of S O X 2 = ( 6.0221409 × 1 0 23 ) 1 0 g 6 4 g / mole 9.40625 × 1 0 22 \text{Molecules of }\ce{SO2}=(6.0221409\times10^{23})\dfrac{10_g}{64_{g/\text{mole}}}\approx9.40625\times10^{22}

Molecules of O X 2 = ( 6.0221409 × 1 0 23 ) 1 0 g 3 2 g / mole 18.8125 × 1 0 22 \text{Molecules of }\ce{O2}=(6.0221409\times10^{23})\dfrac{10_g}{32_{g/\text{mole}}}\approx18.8125\times10^{22}

@Mateus Gomes : Hey there! I think you have noticed the changes, if you type the text in latex it doesn't look good. So just use \text{...} if you want to type something in latex, it will look good.

BTW, nice solution +1! Keep going!! ¨ \huge\ddot\smile

Sravanth C. - 5 years, 4 months ago
Leonblum Iznotded
Jul 24, 2018

+1 to Mateus Gomes who made the complete calculation.

But the answer does not ask 'how many' molecules are more numerous. So a simple math'' comparison helps to determine the more numerous specy - and spare the pen, the paper, its tree, or the wattovore (*) calculator - and incidentally the research of molar masses .

Sulfur has a non-zero weight. So S O 2 SO_{2} is heavier than O 2 O_{2} .

So for a same number of molecules, S O 2 SO_{2} will be heavier than O 2 O_{2} (is it called "molar mass"? We do not yet need in this item question).

So if we want some quantity of S O 2 SO_{2} be the same mass as a quantity of O 2 O_{2} , we need more molecule O 2 O_{2} than molecule S O 2 SO_{2} to "make" the same mass.

I forgot to say the preliminary check everyone may have done (but i tell in the end because it is not the core of the subject) : S O 2 SO_{2} is one molecule, O 2 O_{2} is one molecule, so we won't be trapped nor blocked by the number of molecules of each gas, like if it had been the case in another question the same kind, with mixes of gases (gas mixtures?).

(*) i meant "energy-consuming", you understood the portmanteau neologism was shorter and practical...

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