Multiple choice

10 ml of a compound containing 'N' and 'O' is mixed with 30 ml of $H_{2}$ to produce $H_{2}O$ (l) and 10 ml of $N_{2}$(g). Molecular formula of compound if both reactants reacts completely, is:

  1. $\displaystyle \:N_{2}O$
  2. $\displaystyle \:NO_{2}$
  3. $\displaystyle \:N_{2}O_{3}$
  4. $\displaystyle \:N_{2}O_{5}$
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C Correct answer
Explanation

Reaction: N_xO_y + H_2 -> H_2O + N_2. 10 ml of compound + 30 ml H_2 -> 10 ml N_2 + H_2O. By conservation of atoms: 10*x = 2*10 (N atoms), so x=2. 10*y = 30 (O atoms from H_2O), so y=3. Formula is N_2O_3.

AI explanation

Let the formula of the nitrogen and oxygen compound be NxOy. The reaction with hydrogen to form water and nitrogen gas is represented as NxOy + yH2 -> x/2 N2 + yH2O. Given that 10 ml of the compound reacts completely with 30 ml of H2 to give 10 ml of N2, the value of y must be 3 and the value of x must be 2. Therefore, the molecular formula of the compound is N2O3.

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