A compound containing only sulfur and nitrogen is 69.6% S by mass; the molar mass is 184 g/mol. What are the empirical and molecular formulas of the compound?

Respuesta :

Answer:

Empirical formula = NS

Molecular formula = N₄S₄

Explanation:

Since, the compound only contain nitrogen and sulfur,

Thus ,

Name of the element                 %                        moles            Simplest ratio

              S                                 69.6                69.6/32 = 2.17             1

              N                       100 - 69.6 = 30.4      30.4/14 = 2.17             1

Hence, the empirical formula = NS

The molar mass of the compound : 184 g/mol

So,

x ( 32 +14 ) = 184

x = 4

So, Molecular formula = N₄S₄

Lanuel

a. The empirical formula of the chemical compound is [tex]NS[/tex]

b. The molecular formula of the chemical compound is [tex]N_4S_4[/tex]

Given the following data:

  • Molar mass = 184 g/mol
  • Percentage by mass of sulfur (S) = 69.6%

To find the empirical and molecular formulas of the chemical compound:

First of all, we would determine the percentage by mass of nitrogen (N).

%N [tex]= 100 - 69.6[/tex]

%N = 30.4

For empirical formula:

[tex]\frac{69.6}{32} = \frac{30.4}{14} = 2.02 = 2.02 = 1:1 = NS[/tex]

  • The atomic weight of N = 14 g/mol
  • The atomic weight of S = 32 g/mol

Next, we would determine the mass and number of moles of sulfur and nitrogen:

For sulfur:

[tex]Mass = \frac{69.6}{100} \times 184\\\\Mass = \frac{12806.4}{100}[/tex]

Mass = 128.064 grams

[tex]Number\;of\;moles = \frac{mass}{molar\;mass}\\\\Number\;of\;moles = \frac{128.064}{32}[/tex]

Number of moles = 4.0 moles

For nitrogen:

[tex]Mass = \frac{30.4}{100} \times 184\\\\Mass = \frac{5593.6}{100}[/tex]

Mass = 55.936 grams

[tex]Number\;of\;moles = \frac{mass}{molar\;mass}\\\\Number\;of\;moles = \frac{55.936}{14}[/tex]

Number of moles = 4.0 moles

Therefore, the molecular formula of the chemical compound is [tex]N_4S_4[/tex]

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