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Determine the molecular formula of a compound with an empirical formula of NH2 and a formula mass of 32.06 amu

Verified Answer :

Answer:N2H4

Explanation: Empirical Formula, EF= NH2

Mass of the EF = mass of Nitrogen + mass of Hydrogen

EF = 14.007 + 1.008

= 15.015

Then, divide the given formula mass by the EF. That is,

32.06/15.015 = 2.135 = 2 (to the nearest whole number) ......... (1)

To get the molecular formula, multiple the empirical formula with the number from the equ (1) above.

Molecular formula = 2[NH2] = N2H4

The empirical formula is defined as the simplest whole-number ratio of atoms present in a compound. A molecular formula determines the number of atoms present in each element of the compound.

The molecular formula of a given compound is \(\rm N_2H_4\).

Given:

  • Empirical formula = \(\rm NH_2\)
  • Mass of \(\rm NH_2\) = mass of Nitrogen + mass of hydrogen = 15.01
  • Formula mass of \(\rm NH_2\) = 32.0 amu

To find the molecular formula, we get:

Molecular formula = \(\dfrac{32.06}{2.135}\) = 2 (nearest whole number)

Multiplying the empirical formula with the value of the molecular formula obtained above, we get:

Molecular formula:

\(2 \times \rm NH_2\) = \(\rm N_2H_4\)

Thus, the molecular formula of a given compound is \(\rm N_2H_4\).

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