The volume of a glass vessel is 1000 cc at `20^@C`. What volume of mercury should 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 `9.0xx10^(-6)C^(-1).` respectively.

Explanation

To solve the problem step by step, we need to find the volume of mercury that should be poured into a glass vessel so that the volume of the remaining space does not change with temperature.

### Step 1: Understand the problem
We have a glass vessel with a volume of 1000 cc at 20°C. We need to find the volume of mercury (let's denote it as \( A \)) that can be poured into this vessel such that the volume of the remaining space does not change with temperature.

### Step 2: Identify the coefficients of cubical expansion
The coefficients of cubical expansion given in the problem are:
- For mercury, \( \gamma_m = 1.8 \times 10^{-4} \, \text{°C}^{-1} \)
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