A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of the gas is increased by 50% by introducing more gas in the vessel at the same temperature. Find the resultant pressure of the gas.

Explanation

To solve the problem, we will use the relationship between pressure, volume, and mass of a gas, while keeping the temperature constant. Here’s a step-by-step solution:

### Step 1: Understand the Initial Conditions
The initial pressure of the gas in the vessel is given as \( P_0 = 76 \, \text{cm of Hg} \). The temperature is constant throughout the process.

### Step 2: Establish the Relationship Between Pressure and Mass
According to the ideal gas law, for a constant volume and temperature, the pressure of a gas is directly proportional to its mass. This can be expressed as:
\[
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