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A flask is filled with 1.52 L of a liquid at 99.8 °C. When the liquid is cooled to 11.7 °C, its volume is only 1.31 L. Neglect the contraction of the flask. What is the coefficient of volume expansion of the liquid?

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 / Vâ‚€) / ΔT

Where:

  • ΔV is the change in volume
  • Vâ‚€ 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.

Learn more about coefficient of volume expansion here:

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