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Fiesta28 [93]
3 years ago
15

Calculate the theoretical yield if 100.0 g p4o10 react with 200.0 g h2o

Chemistry
1 answer:
Lina20 [59]3 years ago
3 0
The reaction of Phosphorous Pentaoxide with water yield Phosphoric Acid as shown below,

                             P₄O₁₀  +  6 H₂O   →    4 H₃PO₄

According to balance equation,

           283.88 g (1 mole) P₄O₁₀ requires  =  108 g (6 mole) of H₂O
So,
                          100 g P₄O₁₀ will require  =  X g of H₂O

Solving for X,

                        X  =  (100 g × 108 g) ÷ 283.88 g

                        X  =  38.04 g of H₂O

So, 100 g P₄O₁₀ requires 38.04 g of H₂O, while we are provided with 200 g of H₂O which means that water is in excess and P₄O₁₀ is limiting reagent. Therefore, P₄O₁₀ will control the yield of H₃PO₄. So,
As,
           283.88 g (1 mole) P₄O₁₀ produced  =  391.96 g (4 mole) of H₃PO₄
So,
                          100 g P₄O₁₀ will produce  =  X g of H₃PO₄

Solving for X,
                             X  =  (100 g × 391.96 g) ÷ 283.88 g

                             X  =  138.07 g of H₃PO₄

Result:
           
Theoretical Yield of this reaction is 138.07 g.
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1. Calculate the mass of each element in 2.78 mg of X.

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\text{Mass of C} = \text{5.13 g CO}_{2}\times \dfrac{\text{12.01 g C}}{\text{44.01 g }\text{CO}_{2}}= \text{1.400 g C}

(b) Mass of H

\text{Mass of H} = \text{2.10 g H$_{2}$O}\times \dfrac{\text{2.016 g H}}{\text{18.02 g H$_{2}$O}} = \text{0.2349 g H}

(c) Mass of O

Mass of O = 3.5 - 1.400 - 0.2349 = 1.87 g

2. Calculate the moles of each element

\text{Moles of C = 1400  mg C}\times\dfrac{\text{1 mmol C}}{\text{12.01 mg C }} = \text{116.6 mmol C}\\\\\text{Moles of H = 234.9 mg H} \times \dfrac{\text{1 mmol H}}{\text{1.008 mg H}} = \text{233.1 mmol H}\\\\\text{Moles of O = 1870 mg O} \times \dfrac{\text{1 mmol O}}{\text{16.00 mg O}} = \text{116 mmol O}

3. Calculate the molar ratios

Divide all moles by the smallest number of moles.

\text{C: } \dfrac{116.6}{116.6}= 1\\\\\text{H: } \dfrac{233.1}{116.6} = 1.999\\\\\text{O: } \dfrac{116}{116.6} = 1.00

4. Round the ratios to the nearest integer

C:H:O = 1:2:1

5. Write the empirical formula

The empirical formula is CH₂O.

6. Calculate the molecular formula.

EF Mass = (12.01 + 2.016  + 16.00) u  = 30.03 u

The molecular formula is an integral multiple of the empirical formula.

MF = (EF)ₙ

n = \dfrac{\text{MF Mass}}{\text{EF Mass }} = \dfrac{\text{150 u}}{\text{30.03 u}} = 5.00  \approx 5

MF = (CH₂O)₅ = C₅H₁₀O₅

The molecular formula of X is C₅H₁₀O₅.

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