Assertion (A): Soft drinks are seated under high pressure to increase the solublility of `CO_2`.
Reason (R): Raoult's law states that, the vapour pressure of a non volatile component in a given solution is given by `p_i=x_(i)p_(i)`

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is not the correct explanation of A
C. A is true but R is false
D. A is false but R is true

Explanation

To analyze the given assertion and reason, we will break down the concepts involved.

### Step 1: Understanding the Assertion
The assertion states that "Soft drinks are sealed under high pressure to increase the solubility of CO2."

- **Explanation**: Carbon dioxide (CO2) is more soluble in liquids under high pressure. This is based on Henry's Law, which states that the amount of gas that dissolves in a liquid is directly proportional to the pressure of that gas above the liquid. Therefore, sealing soft drinks under high pressure allows more CO2 to dissolve in the beverage, creating the fizz that we associate with carbonated drinks.

### Step 2: Understanding the Reason
The reason states that "Raoult's law states that the vapor pressure of a non-volatile component in a given solution is given by p_i = x_i * p_i."

- **Explanation**: Raoult's Law applies to the vapor pressure of components in a solution. It states that the partial vapor pressure of each component in a mixture is equal to the vapor pressure of the pure component multiplied by its mole fraction in the solution. However, Raoult's Law is primarily applicable to volatile components and does not directly relate to the solubility of gases like CO2 in soft drinks.

### Step 3: Evaluating the Assertion and Reason
Now we need to evaluate whether both the assertion and the reason are true and if the reason correctly explains the assertion.

- **Assertion**: True. Soft drinks are indeed sealed under high pressure to increase CO2 solubility.
- **Reason**: Partially true but not applicable in this context. Raoult's Law describes vapor pressures in solutions but does not explain the solubility of gases in liquids.

### Conclusion
- The assertion is true, but the reason does not correctly explain the assertion. Therefore, the correct answer is that the assertion is true, but the reason is false.