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Question

__ P4O6 ---> ____ P4+_____ P2O4

1) How many moles of diphosphorus tetroxide are produced from 3.65 moles of tetraphosphorus hexoxide?

Anewer ____ mol

2) How many moles of tetraphosphorus hexoxide are needed to produce 50 grams of diphosphorus tetroxide?

Answer ___ mol

3) How many grams of diphosphorus tetroxide are produced from 18 grams of tetraphosphorus hexoxide?

Answer ___ grams

Answer 1

The balanced chemical equation is: 4 P₄O₆ ---> 1 P₄ + 6 P₂O₄

We can use these molar ratios (the coefficients in from of each specie in the chemical reaction) to interconvert between them.

1. 3.65 mol P₄O₆ * ( 6 mol P₂O₄ / 4 mol P₄O₆ ) = 5.475 mol P₂O₄
2. 50 g P₂O₄ * (1 mol P₂O₄ / 125.96 g P₂O₄) *(4 mol P₄O₆ / 6 mol P₂O₄) = 0.2646 mol P₄O₆
3. In this problem, you must first convert the grams into moles in order to use them molar ratios for converting between species. This was accomplished by dividing by the molar mass of P₂O₄.
4. 18 g P₄O₆ (1 mol P₄O₆ / 219.88 g P₄O₆) * (6 mol P₂O₄ / 4 mol P₄O₆) * (125.96 g P₂O₄ / 1 mol P₂O₄) = 15.47 g P₂O₄
5. For this problem, you had to convert grams into moles, then use the molar ratio, then moles into grams again for the final product.

Answer 2

You need to balance the equation first

Suppose you have a moles of P4O6, b of P4 and c of P2O4

Then considering atoms of P

4a = 4b + 2c

atoms of O

6a = 4c

a,b, c must all be positive whole numbers

So try c= 1, 2, 3, .. until you find something that works

c=1, 6a=4 so a = 4/6 not a whole number

c = 2 6a = 8, a = 8/6 not a whole number

c = 3, 6a = 12, a = 2.

4a = 4b + 2c

8 = 4b + 6

4b = 2, b not a whole number.

Try c = 6, then a=4,

16 = 4b + 12

b = 1

So a=4, c = 6, b =1 works

So 4 P4O6 > P4 + 6 P2O4

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4 moles of P4O6 give 6 moles of P2O4

1 mole of P4O6 gives 6/4 moles of P2O4

3,65 moles of P4O6 gives 3.65 x (6/4) moles of P2O4

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For 2.

1 find the molecular mass of P2O4

2 divide 50 by this to find moles of P2O4

3 multiply this by (4/6) [ see equation for why] to get the moles of P4o6

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For 3

1 find molecular mass of P4O6

2 divide 18 by this to get the moles

3 multiply this by (6/4) to get moles of P2O4

4 multiply this by molecular mass of P2O4 [ found in (2) ]

5 this is the required answer