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What happens to the amount of [tex]$O _2$[/tex] as the reaction shifts to the left (towards the reactants)?

[tex]
2 SO _2(g) + O _2(g) \rightleftharpoons 2 SO _3(g) + 198 \, \text{kJ}
[/tex]

A. The amount of [tex]$O _2$[/tex] goes up.
B. The amount of [tex][tex]$O _2$[/tex][/tex] goes down.
C. The amount of [tex]$O _2$[/tex] does not change.

Sagot :

Certainly! Let's analyze the chemical reaction and its shifts to understand the behavior of the components involved:

Given the reaction:
[tex]\[ 2 \text{SO}_2(g) + \text{O}_2(g) \rightleftharpoons 2 \text{SO}_3(g) + 198 \text{kJ} \][/tex]

This is an exothermic reaction (releases heat).

### Understanding Reaction Shifts:
The reaction is described with a double arrow [tex]\(\rightleftharpoons\)[/tex], indicating it is in a dynamic equilibrium where it can proceed in both forward (to the right) and reverse (to the left) directions:
- Forward reaction: [tex]\(2 \text{SO}_2(g) + \text{O}_2(g) \rightarrow 2 \text{SO}_3(g) + 198 \text{kJ}\)[/tex]
- Reverse reaction: [tex]\(2 \text{SO}_3(g) + 198 \text{kJ} \rightarrow 2 \text{SO}_2(g) + \text{O}_2(g)\)[/tex]

### Shift to the Left:
If the reaction shifts to the left, it means the equilibrium is moving towards forming more reactants and fewer products.

#### Changes When Reaction Shifts Left:
1. Products (SO[tex]\(_3\)[/tex]): The concentration of sulfur trioxide ([tex]\(\text{SO}_3\)[/tex]) will decrease because it is being converted back into reactants.
2. Reactants (SO[tex]\(_2\)[/tex] and O[tex]\(_2\)[/tex]): The concentrations of sulfur dioxide ([tex]\(\text{SO}_2\)[/tex]) and oxygen ([tex]\(\text{O}_2\)[/tex]) will increase as they are being formed from the product ([tex]\(\text{SO}_3\)[/tex]).

[tex]\[ 2 \text{SO}_3(g) \rightarrow 2 \text{SO}_2(g) + \text{O}_2(g) \][/tex]

Since [tex]\(\text{O}_2\)[/tex] is a reactant in the reverse reaction, as the reaction shifts to the left, more [tex]\(\text{O}_2\)[/tex] will be produced.

### Answer:
As the reaction shifts to the left:

- Amount of O[tex]\(_2\)[/tex]: The amount of oxygen ([tex]\(\text{O}_2\)[/tex]) increases because it is a product of the reverse reaction.

Hence, the correct answer is:

A. The amount of O[tex]\(_2\)[/tex] goes up.