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How much mercury must be placed inside a...

How much mercury must be placed inside a glass flask, having an internal volume of 300 c.c., so that the volume of the remaining space inside the flask may be constant at all temperatures ? (Coefficient of real expansion of mercury = `0.00018//""^(@)C`, coefficient of linear expansion of glass is `0.00001//""^(@)C`.)

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To solve the problem, we need to determine how much mercury must be placed inside a glass flask with an internal volume of 300 cc so that the volume of the remaining space inside the flask remains constant at all temperatures. ### Step-by-Step Solution: 1. **Understand the Problem**: We need to ensure that the volume of the remaining space in the flask does not change with temperature. This means that the expansion of the mercury must match the expansion of the glass. 2. **Define the Coefficients**: - Coefficient of real expansion of mercury, \( \alpha_m = 0.00018 \, \text{°C}^{-1} \) ...
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