The pressure of a gas is increased 2 times. What should be the change in its volume so that the temperature and number of moles remain constant?

Explanation

To solve the problem step by step, we will use Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure of the gas is inversely proportional to its volume.

### Step-by-Step Solution:

1. **Understand Boyle's Law**: Boyle's Law states that \( P \times V = \text{constant} \) when the temperature (T) and number of moles (n) of the gas remain constant.

2. **Set Up Initial Conditions**: Let the initial pressure be \( P_1 = P \) and the initial volume be \( V_1 = V \).

...