Why does the solution divide by two in Mole Stoichiometry?

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SUMMARY

The discussion centers on the stoichiometric calculations in a chemistry problem involving the conversion of moles of fluorine (F2) to grams of chlorine trifluoride (ClF3). The user questions the division by two in the calculation, which arises from the stoichiometric coefficients in the balanced chemical equation. Specifically, the calculation uses the ratio of 2 moles of ClF3 produced per 3 moles of F2 consumed, leading to the division by 2 to find the mass of ClF3. This method is standard in stoichiometry, ensuring accurate conversions based on the mole ratios from the balanced equation.

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Homework Statement
79. Chlorine gas reacts with fluorine gas to form chlorine trifluoride.
Cl2( g) + 3 F2( g) = 2 ClF3( g)
A 2.00-L reaction vessel, initially at 298 K, contains chlorine gas at a partial pressure of 337 mmHg and fluorine gas at a partial pressure of 729 mmHg. Identify the limiting reactant and determine the theoretical yield of ClF3 in grams.
Relevant Equations
PV=nTR
where
P=pressure
V=Volume
R= gas constant
n= moles
T = temperature in kelvins
So essentially I followed pretty much what is in the picture
here in this solution.

https://www.slader.com/textbook/9780134162430-chemistry-a-molecular-approach-4th-edition/242/exercises/79/

My question is essentially why does he do the 0.07XXX mol f2 * 2mol clf3/3mol f2 * 92xx g/2mol f2 = answerfor the weight. I always thought as the mole to grams as a 1 for 1 sort of deal. That is if something has a mass of 95.45 amus that means that 1 mole weighs ~ 95.45 grams. However, he divided by 2 again where one would normally not because you are essentially dividing mass per mol by 2, making the molecule lighter than it really is.
 

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They should not have divided by two.
 

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