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in the unbalanced chemical equation below, what series of numbers repre…

Question

in the unbalanced chemical equation below, what series of numbers represent the coefficients needed to balance the chemical equation?
al + cl₂ → alcl₃
a 1, 2, 1
b 3, 5, 1
c 2, 3, 2
d 1, 1, 1

question 24
what is the empirical formula for c₂h₄?
a c₂h₂
b ch₂
c c₂h
d c₂h₄

question 25
in the unbalanced chemical equation below, select the series of numbers that represent the coefficients needed to balance the equation.
h₂ + o₂ → __h₂o
a 1, 1, 2
b 2, 1, 2
c 3, 2, 1
d 1, 1, 1

Explanation:

Question (Balancing \( \text{Al} + \text{Cl}_2

ightarrow \text{AlCl}_3 \))

Step1: Balance Chlorine atoms

On the right, \( \text{AlCl}_3 \) has 3 Cl atoms. On the left, \( \text{Cl}_2 \) has 2 Cl atoms. The least common multiple of 2 and 3 is 6. So, put coefficient 3 in front of \( \text{Cl}_2 \) (to get 6 Cl atoms) and coefficient 2 in front of \( \text{AlCl}_3 \) (to get 6 Cl atoms). Now the equation is: \( \text{Al} + 3\text{Cl}_2
ightarrow 2\text{AlCl}_3 \).

Step2: Balance Aluminum atoms

Now, on the right, \( 2\text{AlCl}_3 \) has 2 Al atoms. So put coefficient 2 in front of \( \text{Al} \) on the left. The balanced equation is: \( 2\text{Al} + 3\text{Cl}_2
ightarrow 2\text{AlCl}_3 \). The coefficients are 2, 3, 2.

Brief Explanations

The empirical formula is the simplest whole - number ratio of atoms in a compound. For \( \text{C}_2\text{H}_4 \), the ratio of C to H is \( 2:4 \). We can divide both numbers by their greatest common divisor, which is 2. So, \( \frac{2}{2}:\frac{4}{2}=1:2 \), and the empirical formula is \( \text{CH}_2 \).

Step1: Balance Oxygen atoms

On the left, \( \text{O}_2 \) has 2 O atoms. On the right, \( \text{H}_2\text{O} \) has 1 O atom. So, put coefficient 2 in front of \( \text{H}_2\text{O} \) to get 2 O atoms. Now the equation is: \( \text{H}_2 + \text{O}_2
ightarrow 2\text{H}_2\text{O} \).

Step2: Balance Hydrogen atoms

On the right, \( 2\text{H}_2\text{O} \) has 4 H atoms. On the left, \( \text{H}_2 \) has 2 H atoms. So put coefficient 2 in front of \( \text{H}_2 \). The balanced equation is: \( 2\text{H}_2 + \text{O}_2
ightarrow 2\text{H}_2\text{O} \). The coefficients are 2, 1, 2.

Answer:

C. 2, 3, 2

Question (Empirical Formula for \( \text{C}_2\text{H}_4 \))