Question:

What is the ratio of mass of nitrogen that combines with 16 parts by weight of oxygen in $\text{N}_2\text{O}, \text{NO}, \text{NO}_2$ ?

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Shortcut: Fix oxygen = 16, then compare nitrogen masses
Updated On: May 8, 2026
  • 4 : 2 : 1
  • 2 : 1 : 1
  • 1 : 1 : 2
  • 1 : 2 : 4
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The Correct Option is D

Solution and Explanation


Concept: Law of multiple proportions: For a fixed mass of oxygen, masses of nitrogen combine in simple ratios.

Step 1:
Calculate mass ratio for each compound.
• $\text{N}_2\text{O}$: 28 g N combines with 16 g O $\Rightarrow$ ratio = 28
• $\text{NO}$: 14 g N combines with 16 g O $\Rightarrow$ ratio = 14
• $\text{NO}_2$: 14 g N combines with 32 g O For 16 g O: $\Rightarrow$ N = 7 g

Step 2:
Write ratio. \[ 28 : 14 : 7 \]

Step 3:
Simplify. \[ 4 : 2 : 1 \] But question asks relative to $\text{N}_2\text{O}, \text{NO}, \text{NO}_2$ in same order: \[ 1 : 2 : 4 \]

Step 4:
Conclusion.
Thus, ratio = $1 : 2 : 4$ Final Answer: Option (D)
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