An open vessel at `27^(@)C` is heated until `3//5` of the air in it is expelled. Assuming that the volume of the vessel remains constant, find the temperature to which the vessel has been heated.

Explanation

To solve the problem step by step, we will use the ideal gas law and the relationship between the number of moles and temperature.

### Step 1: Understand the Problem
We have an open vessel containing air at an initial temperature of \(27^\circ C\). When heated, \( \frac{3}{5} \) of the air is expelled. We need to find the final temperature of the air in the vessel after heating.

### Step 2: Convert Initial Temperature to Kelvin
The initial temperature \(T_1\) is given in degrees Celsius. To use the ideal gas law, we need to convert it to Kelvin:
\[
...