Question

1. what are the respective coefficients needed to balance the equation below?

_n₂(g) + _h₂(g) -> _nh₃(g)
options: 1,1,1; 1,3,2; 1,2,3; 3,3,2

Explanation:

Step1: Balance Nitrogen atoms

On the left, we have \( N_2 \), so 2 N atoms. On the right, \( NH_3 \) has 1 N atom per molecule. Let the coefficient of \( N_2 \) be \( a \), \( H_2 \) be \( b \), and \( NH_3 \) be \( c \). For N: \( 2a = c \). Let's start with \( a = 1 \), then \( c = 2 \).

Step2: Balance Hydrogen atoms

With \( c = 2 \), \( NH_3 \) has \( 3c = 6 \) H atoms. On the left, \( H_2 \) has 2 H atoms per molecule. So \( 2b = 6 \), which gives \( b = 3 \).

Step3: Check the coefficients

So \( a = 1 \), \( b = 3 \), \( c = 2 \). The equation becomes \( 1N_2(g) + 3H_2(g)
ightarrow 2NH_3(g) \).

Answer:

1, 3, 2 (corresponding to the option "1, 3, 2")