The atomic mass of X₁ is 14 and the name of the element is Nitrogen.
The atomic mass of X₂ is 16 and the name of the element is Oxygen.
The atomic mass of X₃ is 32 and the name of the element is Sulfur.
The given parameters include:
weight C weight X
Compound 1 4.2 4.9
Compound 2 3.5 4.67
Compound 3 1.3 3.47
The atomic mass of the first compound (X₁) is calculated as follow;
let the total mass of X₁ and C = T
X₁ + C = T
[tex]\frac{weight \ of \ C}{total \ weight } \times total \ atomic \ mass = mass \ of \ C \\\\\frac{4.2}{(4.2 + 4.9)} \times T = 12\\\\4.2 T = 12(9.1)\\\\4.2T = 109.2\\\\T = \frac{109.2}{4.2} \\\\T = 26[/tex]
X₁ + C = T
X₁ + 12 = 26
X₁ = 26 - 12
X₁ = 14
The atomic mass of X₁ is 14 and the name of the element is Nitrogen.
The atomic mass of the second compound (X₂) is calculated as follow;
let the total mass = P
[tex]\frac{3.5}{(3.5+4.67)} \times P = 12\\\\3.5P = 12 (8.17)\\\\3.5P = 98.04\\\\P = \frac{98.04}{3.5} \\\\P = 28[/tex]
[tex]X_2 + C = P\\\\X_2 + 12 = 28\\\\X_2 = 28-12\\\\X_2 = 16[/tex]
The atomic mass of X₂ is 16 and the name of the element is Oxygen.
The atomic mass of the third compound (X₃) is calculated as follow;
Let the total mass = y
[tex]\frac{1.3}{(1.3+3.47)} \times y = 12\\\\1.3y = 12 (4.77)\\\\1.3y = 57.24\\\\y = \frac{57.24}{1.3} \\\\y = 44[/tex]
[tex]X_3 + C =y\\\\X_3 + 12 = 44\\\\X_3 = 44-12\\\\X_3 = 32[/tex]
The atomic mass of X₃ is 32 and the name of the element is Sulfur.
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