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gogolik [260]
3 years ago
10

1) Chemical analysis of a gaseous compound show its composition to be 36.4% carbon, 57.5% fluorine, and 6.1%

Chemistry
1 answer:
Serga [27]3 years ago
5 0

Answer:

1.  Empirical formula =  CFH₂

   Molecular formula = C₉F₉H₁₈  

2. Empirical formula is  CH₂Cl

   Molecular formula = C₂H₄Cl₂

3. Empirical formula =  CFH₂

   Molecular formula = C₉F₉H₁₈

Explanation:

1) Given data

  Percentage of carbon= 36.4%

  Percentage of fluorine  = 57.5%

  Percentage of hydrogen = 6.1%

  mass = 296 g

  Empirical formula = ?

  Molecular formula  = ?

Solution:

Number of gram atoms of C = 36.4/12 = 3.03

Number of gram atoms of F = 57.5/19 = 3.03

Number of gram atoms of H = 6.1/ 1 = 6.1

Atomic ratio:

    C              :            F             :    H

3.03/3.03      :       3.03/3.03    :   6.1/3.03

    1                :            1              :     2 

      C : F : H = 1 : 1 : 2

Empirical formula is  CFH₂

Now we calculate Molecular formula

   Molecular formula = n (empirical formula)

   n = molar mass of compound / empirical formula mass

   n = 296  / 32

   n = 9.25 we take it as 9

   <em> Molecular formula = n (empirical formula)</em>

    Molecular formula = 9 ( CFH₂)

  Molecular formula = C₉F₉H₁₈

Check the answer by calculating the molecular mass, it should be almost 296 g.

   Molecular formula = C₉F₉H₁₈

   molecular mass = 12 (9) + 18.998 (9) + 1 (18)

   molecular mass = 108 +  170.98 + 18

   molecular mass = 296.98 g/mol

2) Given data

   Percentage of carbon= 24.3%

   Percentage of hydrogen  = 4.1%

   Percentage of chlorine = 71.6%

   molecular mass = 99.8 g/mol

   Molecular formula  = ?

Solution:

Number of gram atoms of C = 24.3/12 = 2

Number of gram atoms of H = 4.1/1 = 4.1

Number of gram atoms of Cl = 71.6/35.5 = 2

Atomic ratio:

    C         :      H        :    Cl

    2/2      :       4/2    :   2/2

    1          :      2        :     1 

      C : H : Cl = 1 : 2 : 1

Empirical formula is  CH₂Cl

Now we calculate Molecular formula

   Molecular formula = n (empirical formula)

   n = molar mass of compound / empirical formula mass

   n = 99.8  / 49.5

   n = 2.02 we take it as 2

  <em>  Molecular formula = n (empirical formula)</em>

    Molecular formula = 2 ( CH₂Cl)

  Molecular formula = C₂H₄Cl₂

Check the answer by calculating the molecular mass, it should be almost 99.8 g.

   Molecular formula = C₂H₄Cl₂

   molecular mass = 12 (2) + 1 (4) + 2 (35.5)

   molecular mass = 24 +  4 + 71

   molecular mass = 99 g/mol

3) Given data

  Percentage of carbon= 36.4%

  Percentage of fluorine  = 57.5%

  Percentage of hydrogen = 6.1%

  mass = 296 g

  Empirical formula = ?

  Molecular formula  = ?

Solution:

Number of gram atoms of C = 36.4/12 = 3.03

Number of gram atoms of F = 57.5/19 = 3.03

Number of gram atoms of H = 6.1/ 1 = 6.1

Atomic ratio:

    C              :            F             :    H

3.03/3.03      :       3.03/3.03    :   6.1/3.03

    1                :            1              :     2 

      C : F : H = 1 : 1 : 2

Empirical formula is  CFH₂

Now we calculate Molecular formula

   Molecular formula = n (empirical formula)

   n = molar mass of compound / empirical formula mass

   n = 296  / 32

   n = 9.25 we take it as 9

   <em> Molecular formula = n (empirical formula)</em>

    Molecular formula = 9 ( CFH₂)

  Molecular formula = C₉F₉H₁₈

Check the answer by calculating the molecular mass, it should be almost 296 g.

   Molecular formula = C₉F₉H₁₈

   molecular mass = 12 (9) + 18.998 (9) + 1 (18)

   molecular mass = 108 +  170.98 + 18

   molecular mass = 296.98 g/mol

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Answer:

a) Percentage by mass of carbon: 18.3%

   Percentage by mass of hydrogen: 0.77%

b)  Percentage by mass of chlorine: 80.37%

c) Molecular formula: C_{2} H Cl_{3}

Explanation:

Firstly, the mass of carbon must be determined by using a conversion factor:

0.872g CO _{2} *\frac{12g C}{44g CO_{2} } = 0.238g CO_{2}

The same process is used to calculate the amount of hydrogen:

0.089g H_{2}O*\frac{2g H}{18g H_{2}O }  = 0.010g H

The percentage by mass of carbon and hydrogen are calculated as follows:

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%H\frac{0.010g}{1.3g} *100%=0.77%

From the precipation data it is possible obtain the amount of chlorine present in the compound:

1.75 AgCl*\frac{35.45g Cl}{143.45g AgCl}= 0.43g AgCl

Let's calculate the percentage by mass of chlorine:

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Assuming that we have 100g of the compound, it is possible to determine the number of moles of each element in the compound:

18.3g C*\frac{1mol C}{12g C} = 1.52mol C

0.77g H*\frac{1mol H}{1g H} = 0.77mol H

80.37gCl*\frac{1molCl}{35.45g Cl} = 2.27mol Cl

Dividing each of the quantities above by the smallest (0.77mol), the  subscripts in a tentative formula would be

C=\frac{1.52}{0.77} = 1.97 ≈ 2

H = \frac{0.77}{0.77} = 1

Cl =\frac{2.27}{0.77}=2.94≈3

The empirical formula for the compound is:

C_{2} H Cl_{3}

The mass of this empirical formula is:

mass of C + mass of H + mass of Cl= 24g +1+ 106.35 =131.35g

This mass matches with the molar mass, which means that the supscript in the molecular formula are the same of the empirical one.

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Explanation:

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<em><u>Using cross multiplication:  </u></em>

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??? mole → 8.95 x 10²³ molecules.

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