According to the following equation, Calculate the percentage yield if 550.0 g of toluene (C7H8 )added to an excess of nitric acid (HNO3) provides 305 g of the p-nitrotoluene (C7H7NO2 ) product in a lab experiment.
___C7H8 + ___HNO3  ___C7H7NO2 + ___H2O

Respuesta :

37.69 % is the percentage yield if 550.0 g of toluene (C7H8 )added to an excess of nitric acid (HNO3) provides 305 g of the p-nitrotoluene (C7H7NO2 ) product in a lab experiment.

Explanation:

Balanced reaction equation:

C7H8 + ___HNO3  ___C7H7NO2 + ___H2O

data given:

mass of toluene C7H8 = 550 grams (limiting reagent)

mass of nitrotoluene obtained = 305 grams (actual yield)

From the reaction 1 mole of toluene react to form 1 mole of nitrotoluene

atomic mass of nitrotoluene is 137.14 grams/mole

mass of nitrotoluene produced is 137.14 grams

Now the number of moles of nitrotoluene taking part in the reaction is given by:

n = [tex]\frac{550}{92.14}[/tex]

  = 5.9  moles

hence, form the reaction when 1 mole toluene produced 1 mole of nitrotoluene

5.9 moles will produce 5.9 moles of nitrotoluene

This will give the yield according to the reaction i.e theoretical yield

mass of nitrotoluene = number of  moles x atomic mass of toluene

                                  = 5.9 x 137.14

                                   = 809.12 grams of nitrotoluene (theoretical yield)

Actual yield = 305 grams

formula for percent yield:

percent yield = [tex]\frac{actual yield}{theoretical yield}[/tex] x 100

                      = [tex]\frac{305}{809.12}[/tex] x 100

                      = 37.69 % is the yield percent.

The percentage yield will be :37.69 %

Balanced reaction equation:

[tex]C_7H_8 + HNO_3 ---- > C_7H_7NO_2 + H_2O[/tex]

What information we have:

Mass of toluene = 550 grams (limiting reagent)

Mass of nitro-toluene obtained = 305 grams (actual yield)

From the reaction 1 mole of toluene react to form 1 mole of nitro-toluene

Molar mass of nitro-toluene = 137.14 grams/mole

Mass of nitro-toluene produced is 137.14 grams

Now the number of moles of nitro-toluene taking part in the reaction is given by:

Number of moles =  mass /  Molar mass

Number of moles = 550 / 92.14 =  5.9  moles

Hence, form the reaction when 1 mole toluene produced 1 mole of nitro-toluene

5.9 moles will produce 5.9 moles of nitro-toluene

Mass of nitro-toluene = number of  moles * atomic mass of toluene

= 5.9  * 137.14

= 809.12 grams of nitro-toluene (theoretical yield)

Actual yield = 305 grams

Percent yield = actual yield / theoretical yield  * 100

Percent yield =305/ 809.12  x 100

Percent yield = 37.69 %

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