The reaction `2SO_(2)+2O_(2)hArr 2SO_(3)` will be favoured by

Options

A. a. high temperature and low pressure
B. b. low temperature and high pressure
C. c. high temperature and high pressure
D. d. low temperature and low pressure.

Explanation

To determine the conditions under which the reaction \(2SO_2 + 2O_2 \rightleftharpoons 2SO_3\) will be favored, we can analyze the reaction based on Le Chatelier's principle, which states that if a system at equilibrium is subjected to a change in conditions, the system will adjust to counteract that change and restore a new equilibrium.

### Step-by-Step Solution:

1. **Identify the Reaction Type**:
The given reaction is \(2SO_2 + 2O_2 \rightleftharpoons 2SO_3\). This is an oxidation reaction where sulfur dioxide (\(SO_2\)) is converted to sulfur trioxide (\(SO_3\)).

**Hint**: Recognize the nature of the reaction (oxidation) and its products.

2. **Count the Moles of Reactants and Products**:
- Reactants: \(2SO_2 + 2O_2\) = 4 moles
- Products: \(2SO_3\) = 2 moles
There is a decrease in the number of moles from 4 to 2.

**Hint**: Always count the moles of reactants and products to understand how changes in pressure will affect the equilibrium.

3. **Determine the Reaction's Heat Change**:
This reaction is exothermic, meaning it releases heat. In exothermic reactions, heat can be considered as a product.

**Hint**: Remember that exothermic reactions release heat, which can influence equilibrium.

4. **Apply Le Chatelier's Principle**:
- **Temperature**: For exothermic reactions, lowering the temperature favors the formation of products (in this case, \(SO_3\)).
- **Pressure**: Increasing the pressure favors the side of the reaction with fewer moles of gas. Since the products have fewer moles (2 moles of \(SO_3\)) compared to the reactants (4 moles), increasing the pressure will also favor the formation of \(SO_3\).

**Hint**: Use Le Chatelier's principle to analyze how temperature and pressure changes affect the equilibrium.

5. **Conclusion**:
The reaction \(2SO_2 + 2O_2 \rightleftharpoons 2SO_3\) will be favored by low temperature and high pressure.

**Final Answer**: The correct option is **low temperature and high pressure**.