Answer :
Final answer:
The coefficient of volume expansion of the liquid is approximately 0.0016 °C-1.
Explanation:
The coefficient of volume expansion measures how much the volume of a substance changes per degree Celsius change in temperature. It is denoted by the symbol β (beta). The formula to calculate the coefficient of volume expansion is:
β = (ΔV / V₀) / ΔT
Where:
- ΔV is the change in volume
- V₀ is the initial volume
- ΔT is the change in temperature
In this question, the initial volume of the liquid is 1.52 L and the final volume is 1.31 L. The initial temperature is 99.8 °C and the final temperature is 11.7 °C.
Using the formula, we can calculate the coefficient of volume expansion:
β = ((1.31 L - 1.52 L) / 1.52 L) / (11.7 °C - 99.8 °C)
Simplifying the equation:
β = (-0.21 L / 1.52 L) / (-88.1 °C)
β ≈ 0.0016 °C-1
Therefore, the coefficient of volume expansion of the liquid is approximately 0.0016 °C-1.
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