A glass vessel of volume `100 cm^(3)` is filled with mercury and is heated from `25^(@)C to 75^(@)C`. What volume of mercury will overflow? Coefficient of linear expansion of glass `= 1.8 xx 10^(-6)//'^(@)C` and coefficeient of volume expansion of mercury is `1.8 xx 10^(-4)//'^(@)C`.

Explanation

To solve the problem of how much mercury will overflow from a glass vessel when heated, we will follow these steps:

### Step 1: Write down the given data
- Volume of the glass vessel, \( V_{\text{vessel}} = 100 \, \text{cm}^3 \)
- Coefficient of linear expansion of glass, \( \alpha_{\text{glass}} = 1.8 \times 10^{-6} \, \text{°C}^{-1} \)
- Coefficient of volume expansion of mercury, \( \gamma_{\text{Hg}} = 1.8 \times 10^{-4} \, \text{°C}^{-1} \)
- Initial temperature, \( T_1 = 25 \, \text{°C} \)
- Final temperature, \( T_2 = 75 \, \text{°C} \)
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