A glass flask with volume 200 `cm^(3)` is filled to the brim with mercury at `20^(@)C`. How much mercury overflows when the temperature of the system is raised to `100^(@)C`? The coefficient of linear expansion of the glass is `0.40xx10^(-5)K^(-1)`. Cubical expansion of mercury `=18xx10^(-5)K^(-1)`.

Explanation

To solve the problem of how much mercury overflows when the temperature of the system is raised from \(20^\circ C\) to \(100^\circ C\), we will follow these steps:

### Step 1: Determine the change in volume of the glass flask
The coefficient of linear expansion of the glass is given as \( \alpha_{glass} = 0.40 \times 10^{-5} \, K^{-1} \). To find the coefficient of volume expansion (\( \gamma_{glass} \)), we use the relation:
\[ \gamma_{glass} = 3 \times \alpha_{glass} \]
Calculating this gives:
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