A gas occupying a volume of `100` litres is at `20^(@)C` under a pressure of `2` bar. What temperature will it have when it is placed in an evacuated chamber of volume `175` litres? The pressure of the gas in the chamber is one-third of its initial pressure.

Explanation

To solve the problem, we will use the ideal gas law, which states that for a given amount of gas, the ratio of pressure (P), volume (V), and temperature (T) is constant. The relationship can be expressed as:

\[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \]

### Step-by-Step Solution:

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