Write the molecular formula for a compound with the possible elements C, H, N and O that exhibits a molecular ion at M+ = 84.095

I understand the concept of adding together the specific mass C=12.000, H=1.008, N=14.003 and O=15.995 but I need help with a systematic approach to solve for these problems when that is the only information that is given.

Question

07-02-2018
Chemistry

contestada

Write the molecular formula for a compound with the possible elements C, H, N and O that exhibits a molecular ion at M+ = 84.095

I understand the concept of adding together the specific mass C=12.000, H=1.008, N=14.003 and O=15.995 but I need help with a systematic approach to solve for these problems when that is the only information that is given.

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Dejanras Dejanras · Answer 1 · 2018-02-17T13:40:29+01:00

Use the rule of 13 - the formula of a compound is a multiple n of 13 (the molar mass of CH) plus a remainder r. For O, add O and remove CH₄ and for N, add N and remove one CH₂.
84 ÷ 13 = 6r6, the integer equals the number of carbon atoms and the integer plus the remainder equals the number of hydrogen atoms, so possible formula is C₆H₁₂.
M(C₆H₁₂) = 6 · 12,00 + 12 · 1,008 = 84,096.
Add one oxygen atom to molecular formula: C₅H₈O.
M(C₅H₈O) = 5 · 12,00 + 8 · 1,008 + 15,995 = 84,059, not.
Add one nitrogen atom to molecular formula: C₅H₁₀N.
M(C₅H₁₀N) = 5 · 12,00 + 10 · 1,008 + 14,003 = 84,083, not.
If we add nitrogen and oxygen mass will be lower than 84,095, so molecular formula is C₆H₁₂.