Sulfur and oxygen react to produce sulfur trioxide. In a particular experiment, 7.9 grams of SO3 are produced by the reaction of 5.0 grams of O2 with 6.0 grams of S. What is the % yield of SO3 in this experiment? S (s) + O2 (g) → SO3 (g) (not balanced)

Respuesta :

Answer:

94.7 %

Explanation:

The balanced chemical reaction is as follows -

2 S + 3 O₂ -----> 2 SO₃

Hence ,

The number of moles according to the chemical reaction is -

Moles of S = 2

Moles of O₂ = 3

Since ,

Moles is denoted by given mass divided by the molecular mass ,  

Hence ,  

n = w / m

n = moles ,  

w = given mass ,  

m = molecular mass .

From the question ,

For Sulfur ,

w = 6.0 g

as we know the molecular mass of S = 32 ,

Hence ,

moles are calculated by using the above formula , and putting the respective values ,

n = w / m  = 6 / 32 = 0.1871 mol

similarly for Oxygen ,

w = 5.0 g

as we know the molecular mass of O = 32 g/mol ,

Hence ,

moles are calculated by using the above formula , and putting the respective values ,

n = w / m  = 5 / 32 = 0.15625 mol

Comparing the moles with the values from the the equation ,

Since , S is in excess ,

Therefore , O₂ is the limiting reagent ,

Hence O₂ will determine the moles of the product ,

Therefore ,

Using unitary method ,

From the chemical reaction ,

3 mol of O₂ will give 2 mol of SO₃

and ,

1 mol of O₂ will give 2 / 3 mol of SO₃

Therefore ,

0.15625 mol O₂ will give 2 / 3 * 0.15625 mol of SO₃

Hence ,

Moles of  SO₃ produced = 0.1042 mol

since ,

n = w / m

w = n * m

molecular mass of SO₃ = 80 g/mol

w = Mass of SO₃ =  0.1042 mol * 80 g/mol = 8.340 g

The percentage yield is calculated as the actual yield divided by the theoretical yield multiplied by 100 .

Hence ,

Percentage yield = actual yield / theoretical yield * 100

From the question ,

actual yield = 7.9 g of  SO₃

As calculated above ,

theoretical yield = 8.340 g

Percentage yield =  7.9 g / 8.340 g * 100 = 94.7 %

The study of chemicals and bonds is called chemistry. There are two types of elements these rare metals and nonmetals.

The correct answer is 94.7 %

What are moles?

  • The mole is the base unit of the amount of substance in the International System of Units.
  • It is defined as exactly 6.02214076×10²³ elementary entities, which may be atoms, molecules, ions, or electrons.

The balanced chemical reaction is as follows -

[tex]2S + 3O_2 -----> 2SO_3[/tex]

Hence, The number of moles according to the chemical reaction is -

  • Moles of S = 2
  • Moles of O₂ = 3

Since, Moles is denoted by the given mass divided by the molecular mass,  

Hence,  

[tex]n = \frac{w}{ m}[/tex]

where

  • n = moles ,  
  • w = given mass ,  
  • m = molecular mass .

For Sulfur,

w = 6.0 g, as we know the molecular mass of S = 32,

Hence, moles are calculated by using the above formula, and putting the respective values,

n =[tex]\frac{w}{m} \\= \frac{6}{32}\\ = 0.1871 mol[/tex]

For Oxygen,

w = 5.0 g as we know the molecular mass of O = 32 g/mol,

Hence, moles are calculated by using the above formula, and putting the respective values,

n =[tex]\frac{w}{m} \\\\=\frac{5}{32}\\ = 0.15625 mol[/tex]

Comparing the moles with the values from the equation,

Since S is in excess, Therefore, O₂ is the limiting reagent,

Hence O₂ will determine the moles of the product,

Therefore, Using the unitary method,

From the chemical reaction, 3 moles of O₂ will give 2 mol of SO₃

and, 1 mole of O₂ will give 2 / 3 mole of SO₃

Therefore,

0.15625 mol O₂ will give[tex]\frac{2}{3} * 0.15625[/tex] mol of SO₃

Hence, Moles of  SO₃ produced = 0.1042 mol

since,

[tex]n = \frac{w}{ m}w = n * m[/tex]

molecular mass of SO₃ = 80 g/mol

w = Mass of SO₃ =  0.1042 mol * 80 g/mol = 8.340 g

The percentage yield is calculated as the actual yield divided by the theoretical yield multiplied by 100.

Hence, Percentage yield = actual yield / theoretical yield * 100

From the question, actual yield = 7.9 g of  SO₃

As calculated above, theoretical yield = 8.340 g

Percentage yield = 7.9 g / 8.340 g * 100 = 94.7 %

For more information about the reaction, refer to the link:-

https://brainly.com/question/16759172