A gas is filled in a container at `27^@ C`. On increasing the temperature to `127^@ C`, 1 litre (having `(1)/(4)`th mass) of the gas escape out of the container. Calculate the volume of the container.

Explanation

To solve the problem, we need to apply the principles of the ideal gas law and the relationships between volume, temperature, and mass. Let's break it down step by step.

### Step 1: Convert the temperatures from Celsius to Kelvin
- Initial temperature \( T_1 = 27^\circ C = 27 + 273 = 300 \, K \)
- Final temperature \( T_2 = 127^\circ C = 127 + 273 = 400 \, K \)

**Hint:** Remember that to convert Celsius to Kelvin, you add 273.

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