A 0.77-mg sample of nitrogen reacts with chlorine to form

Charles Kingsley

Charles Kingsley

Answered question

2022-01-03

A 0.77-mg sample of nitrogen reacts with chlorine to form 6.61 mg of the chloride. Determine the empirical formula of nitrogen chloride.

Answer & Explanation

Lynne Trussell

Lynne Trussell

Beginner2022-01-04Added 32 answers

Step 1
Mass of chlorine
Find the mass of chlorine.
=mass of compoundmass of nitrogen
=6.61mg0.77mg
=5.84mg Cl
Step 2
Convert the masses of these elements to moles using molar masses. Then determine the number of moles of each element relative to the other elements. Divide all quantities by the smallest amount of moles.
0.77mg N1g N1mol N1000mg N14.0067g N
=5.4974×105mol N
5.84mg Cl1g Cl1mol Cl1000mg Cl35.453g Cl
=1.6473×104mol Cl
5.4974×105mol N5.4974×105mol=1 N
1.6473×104mol Cl5.4974×105mol=3 Cl
Therefore, the empirical formula is NCl3

Debbie Moore

Debbie Moore

Beginner2022-01-05Added 43 answers

Step 1
The empirical formula of a species is determined by knowing the mass of all the constituting atoms. From the mass of an atom, the corresponding number of moles is calculated. After that, taking the simplest integral ratio between the number of moles of atoms, the empirical formula is determined.
Nitrogen chloride contains nitrogen (N) and chlorine (Cl) as constituting atoms.
Let's assume the given reaction goes to completion. Hence, the mass (M) of Cl present in 6.61 mg of nitrogen chloride is calculated as shown below:
M=(6.610.77)mg
=5.84mg
Step 2
The molar mass of N and Cl are 14.01 and 35.45gmol, respectively. So, the number of mol of N (nN) and Cl(nCl) present in 0.77 mg of N and 5.84 mg of Cl, respectively, are calculated as shown below:
nN=0.77mg14.01gmol
=7.7×104g14.01gmol; (1mg=103g)
=5.5×105mol
nCl=5.84mg35.45gmol
=5.84×103g35.45gmol; (1mg=103g)
=1.6×104mol
Step 3
Hence, the simplest integral ratio between nN and nCl is calculated as shown below:
nN:nCl
=5.5×105mol:1.6×104mol
=1:1.6×1045.5×105
=1:2.9
1:3
As the simplest integral ratio between the number of moles of constituting atoms represent the corresponding empirical formula, therefore, the empirical formula of nitrogen chloride is NCl3
karton

karton

Expert2022-01-10Added 613 answers

Step 1
From the given:
Reacted mass of nitrogen = 0.77 mg
Mass of chlorine = 6.615 mg
Reacted mass of chlorine = 6.615 mg - 0.77 = 5.84 mg
Mass of Nitrogen =0.7714=0.055
Mass of chlorine =5.8435.5=0.165
Each value is divided by small number
0,0550.055=1
0.1650.055=3
Therefore, empirical formula is NCl3

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