If the mass of each molecules of a gas is doubled and speed is halved, find the ratio of initial and final pressure.

Explanation

To solve the problem, we need to find the ratio of the initial pressure (P1) to the final pressure (P2) when the mass of each molecule of a gas is doubled and the speed is halved.

### Step-by-Step Solution:

1. **Understanding the Relationship Between Pressure, Mass, and Velocity:**
The pressure (P) of a gas can be related to the mass (m) of its molecules and the root mean square velocity (Vrms) of the gas molecules. The formula for pressure in terms of these variables is:
\[
P \propto m \cdot V_{rms}^2
...