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QUESTION IMAGE

which of the following is the correct way to describe the ratio of volu…

Question

which of the following is the correct way to describe the ratio of volumes of the substances in the chemical equation? 2nh₃(g)→n₂(g)+3h₂(g) 2 molecules nh₃:1 mole n₂:3 formula units h₂ 3l nh₃:2l n₂:2l h₂ 2l nh₃:1l n₂:3l h₂ 3 moles nh₃:1 mole n₂:3 moles h₂

Explanation:

Step1: Apply Avogadro's Law

Avogadro's Law states that \( V = kn \) (where \( V \) is volume, \( n \) is the amount of substance in moles, and \( k \) is a constant). For gases at the same temperature and pressure, the ratio of volumes is equal to the ratio of their mole ratios (stoichiometric coefficients) in the balanced chemical equation.

Step2: Analyze the given chemical equation

The balanced chemical equation is \( 2NH_{3}(g)\to N_{2}(g)+3H_{2}(g) \). The stoichiometric coefficients of \( NH_{3} \), \( N_{2} \), and \( H_{2} \) are \( 2 \), \( 1 \), and \( 3 \) respectively. According to Avogadro's Law, if we assume the amount of substances in moles (\( n \)) is proportional to volume (\( V \)) (since \( V = kn \)), the volume ratio \( V_{NH_{3}}:V_{N_{2}}:V_{H_{2}}=2:1:3 \). If we consider the unit of volume as liters (\( L \)), it can be written as \( 2LNH_{3}:1LN_{2}:3LH_{2} \).

Answer:

\( 2LNH_{3}:1LN_{2}:3LH_{2} \) (the third option)