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.3
c.2
Answer:
1. X: 1
2. Y: 2
3. Z: 3
Column A
1. X: c
2. Y: a
3. Z: b
To balance the equation (X)N2 + (Y)H2 → (Z)NH3, we need to ensure that the number of atoms of each element is the same on both sides of the equation.
Let's analyze the equation and determine the coefficients:
Column A
1. X: X (number of nitrogen atoms in N2)
2. Y: Y (number of hydrogen atoms in H2)
3. Z: Z (number of nitrogen atoms in NH3)
Column B
a. 1 (number of molecules for the reactant N2)
b. 3 (number of molecules for the reactant H2)
c. 2 (number of molecules for the product NH3)
To balance the equation, we need to check the number of each element on both sides.
On the left side of the equation, there are:
- X nitrogen atoms
- 2Y hydrogen atoms (since H2 has 2 hydrogen atoms per molecule)
On the right side of the equation, there are:
- Z nitrogen atoms
- 3Z hydrogen atoms (since NH3 has 3 hydrogen atoms per molecule)
To balance the equation:
- X (number of nitrogen atoms on the left side) should equal Z (number of nitrogen atoms on the right side)
- 2Y (number of hydrogen atoms on the left side) should equal 3Z (number of hydrogen atoms on the right side)
From the given options in Column B:
- X should be b. 3 since there are 3 nitrogen atoms in N2
- Y should be c. 2 since there are 2 hydrogen atoms in H2
- Z should be a. 1 since there is 1 nitrogen atom in NH3
Therefore, if we substitute the coefficients with the corresponding options from Column B, the equation becomes:
(3)N2 + (2)H2 → (1)NH3
This equation adheres to the conservation of mass.
To match the missing coefficients to the correct number of molecules, we need to follow the law of conservation of mass. According to this law, the number of atoms of each element must be the same on both sides of the chemical equation.
In the given equation (X)N2 + (Y)H2 → (Z)NH3, we need to determine the values of X, Y, and Z to ensure mass conservation.
Let's analyze the atoms on each side of the equation:
On the left side: (X)N2 + (Y)H2
- There are X nitrogen (N) atoms in N2.
- There are 2Y hydrogen (H) atoms in H2.
On the right side: (Z)NH3
- There is Z nitrogen (N) atom(s) in NH3.
- There are 3Z hydrogen (H) atoms in NH3.
To balance the equation, we need the number of atoms of each element to be the same on both sides. Therefore, we need to equate the number of nitrogen (N) atoms and the number of hydrogen (H) atoms on both sides.
Equating the number of nitrogen (N) atoms:
X = Z
Equating the number of hydrogen (H) atoms:
2Y = 3Z
Now, let's match the missing coefficients (X, Y, Z) in the equation to the correct number of molecules:
Column A
1. X: Z (since X = Z)
2. Y: Can be calculated using 2Y = 3Z. Solving this equation will give us the value needed for Y.
3. Z: Z (since X = Z)
Column B
a. 1
b. 3
c. 2
We need to calculate the values of X, Y, and Z based on the given equation and then match them to the corresponding numbers in Column B. Once we have the values, we can determine which option in Column B matches each coefficient.