Equal masses of the two gases A and B are kept in two separate vessels at the same temperature and pressure. If the ratio of the molecular masses of A and B is `2 : 3`, find the ratio of the volumes of the two vessels.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Given Information
We have two gases, A and B, with equal masses kept at the same temperature and pressure. The ratio of their molecular masses is given as \( M_A : M_B = 2 : 3 \).

### Step 2: Define the Masses
Let the mass of gas A be \( m_A \) and the mass of gas B be \( m_B \). Since the masses are equal, we can denote them as:
\[ m_A = m_B = m \]
...