Match the missing coefficient to the correct number of molecules so that the equation adheres to the conservation of mass.

(X)N2 + (Y)H2 → (Z)NH3

Column A
1.
X:
X
2.
Y:
Y
3.
Z:
Z
Column B
a.1
b.2
c.3

X: c.3

Y: a.1
Z: b.2

To determine the missing coefficients, we need to balance the equation by ensuring that the number of atoms of each element is the same on both sides of the equation.

Let's start by counting the number of each atom on each side of the equation:

Column A:
1. X: X
2. Y: Y
3. Z: Z

Column B:
a. 1
b. 2
c. 3

To balance the equation, we need to have an equal number of nitrogen (N), hydrogen (H), and ammonia (NH3) molecules on both sides.

Looking at the elements individually:

1. Nitrogen (N): There is only one nitrogen atom on the left side (N2), so we need a coefficient of 1 (a) to balance it.

XN2 + __H2 → __NH3

2. Hydrogen (H): There are two hydrogen atoms on the right side (2H2), so we need a coefficient of 2 (b) to balance it.

XN2 + 2H2 → __NH3

3. Ammonia (NH3): There are three ammonia molecules on the right side (3NH3), so we need a coefficient of 3 (c) to balance it.

XN2 + 2H2 → 3NH3

Therefore, the missing coefficients are:
X = 1
Y = 2
Z = 3

The balanced equation is:
N2 + 2H2 → 3NH3

To determine the missing coefficients (X, Y, Z) for the chemical equation (X)N2 + (Y)H2 → (Z)NH3, we need to consider the conservation of mass, specifically the total number of atoms of each element before and after the reaction.

Let's analyze the chemical equation:

(X)N2 + (Y)H2 → (Z)NH3

Column A represents the missing coefficients (X, Y, Z), and Column B provides the possible values (a, b, c). We need to match the correct coefficients to make sure the equation follows the conservation of mass.

1. X represents the coefficient for N2, which means the number of nitrogen atoms in the reactants.
2. Y represents the coefficient for H2, which stands for the number of hydrogen atoms in the reactants.
3. Z represents the coefficient for NH3, indicating the number of ammonia molecules formed.

Now, let's analyze each element separately:

Column A
1. X: X represents the number of nitrogen atoms in N2. Since there is only one nitrogen atom in each N2 molecule, the coefficient for N2 should be 1. Therefore, X: 1.
2. Y: Y represents the number of hydrogen atoms in H2. As there are two hydrogen atoms in each H2 molecule, Y: 2.
3. Z: Z represents the number of NH3 molecules formed. Since there is no coefficient explicitly shown, it means that the number of ammonia molecules is one. Thus, Z: 1.

Column B
a. 1
b. 2
c. 3

Based on the analysis, we can match the missing coefficients with the correct numbers:

1. X: 1
2. Y: 2
3. Z: 1

Therefore, the correct matching is:
X: a. 1
Y: b. 2
Z: a. 1