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A gas is filled in a container at 27^@ ...

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.

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To solve the problem, we will use the ideal gas law and the relationship between volume and temperature. Here are the steps to find the volume of the container: ### Step 1: Convert temperatures to Kelvin - The initial temperature \( T_1 = 27^\circ C = 27 + 273 = 300 \, K \) - The final temperature \( T_2 = 127^\circ C = 127 + 273 = 400 \, K \) ### Step 2: Use the relationship between volume and temperature According to Charles's Law, the volume of a gas is directly proportional to its temperature when pressure is constant. This can be expressed as: ...
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