A mercury thermometer contains 8.0 mL of mercury. If the tube of the thermometer has a cross-se

step 1 Hello, students. In this question, a mercury thermometer contains volume V equals to 8 .0 millil

A mercury thermometer contains 8.0 mL of mercury. If the...

A mercury thermometer contains $8.0 \mathrm{~mL}$ of mercury. If the tube of the thermometer has a cross-sectional area of $1.0 \mathrm{~mm}^{2}$, what should the spacing between the ${ }^{\circ} \mathrm{C}$ marks be?

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Key Concepts

Volume-Displacement Relationship

This concept involves understanding that the volume of a fluid in a cylindrical container is determined by multiplying its cross-sectional area by the height (or length) of the fluid column (V = A × h). It is essential for calculating the height of the mercury column in the tube based on its known volume and the tube's area.

Unit Conversion and Consistency

In many physics and engineering problems, measurements are given in different units. Converting units appropriately—such as recognizing that 1 mL is equivalent to 1 cm³, and further converting cm³ to mm³—is crucial for ensuring the dimensions are consistent when applying formulae like V = A × h.

Calibration of Measurement Instruments

Calibration involves marking increments on a device to relate physical dimensions to measurement scales. In the case of thermometers, once the total height of the mercury column is determined, it can be divided into equal parts corresponding to temperature intervals, ensuring that the thermometer provides an accurate readout of temperature.

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