The volume of a glass vessel is 1000 cc at `20^@C`. What volume of mercury could be poured into it at this temperature so that the volume of the remaining space does not change with temperature? Coefficients of cubical expansion of mercury and glass are `1.8 xx 10^(-4 @)C^(-1)` and `9 xx 10^(-6 @)C^(-1)` respectively.

Explanation

To solve the problem, we need to find out the volume of mercury (Vhg) that can be poured into a glass vessel of volume 1000 cc at 20 °C, such that the volume of the remaining space does not change with temperature. We will use the coefficients of cubical expansion for both mercury and glass.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Volume of glass vessel (Vg) = 1000 cc
- Coefficient of cubical expansion of mercury (γHg) = \(1.8 \times 10^{-4} \, °C^{-1}\)
- Coefficient of cubical expansion of glass (γg) = \(9 \times 10^{-6} \, °C^{-1}\)
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