Stoichiometric Calculation Based Question

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It is a question based on stoichiometric calculation.

How many moles of UF6 would have to be decomposed to provide enough fluorine to prepare 1.25 mol of CF4 ? (Assume sufficient carbon is available)

 
Solution:
 
The chemical reaction occurs is:

UF6 U + 3F2  

……….. (1)

C + 2F2 CF4  ……….. (2)

From reaction (2),

1 mole CF4 is prepared from 2 mole F2

Then, 1.25 mole CF4  will be prepared from F2 = (2 mol/1 mol)*(1.25 mol) = 2.5 mol

Hence, from reaction (2) it is clear that 2.5 mole F2  is required to produce 1.25 mole CF4

From reaction (1)

3 mole F2 is produced from 1 mole UF6

Then, 2.5 mole F2 will be produce from UF6 = (1 mol/3 mol)*(2.5 mol) = 0.83 mol   

Hence, 0.83 mole UF6 would have to be decomposed to provide enough fluorine to prepare 1.25 mole CF4.


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