The pressure of a given mass of a gas is halved at constant temperature. What will be the volume of the gas in comparison to its initial volume? Explain on the basis of kinetic theory.

Explanation

To solve the problem, we will use the ideal gas law and the kinetic theory of gases. The relationship between pressure, volume, and temperature for a given mass of gas is given by Boyle's Law, which states that at constant temperature, the pressure of a gas is inversely proportional to its volume.

### Step-by-Step Solution:

1. **Understanding the Initial Conditions**:
- Let the initial pressure of the gas be \( P_1 \).
- Let the initial volume of the gas be \( V_1 \).
- The temperature is constant.
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