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Answer :
Final answer:
The diameter of the capillary tube can be determined experimentally. First, find the volume of mercury added to the tube by using the difference in mass and the mercury's density. Then, use the volume formula for a cylinder to solve for the radius, and double the radius to get the diameter.
Explanation:
To calculate the diameter of the capillary tube, we first need to determine the volume of mercury that was added to the tube.
We do this by finding the difference in mass of the tube before and after adding mercury, which is 3.416 g - 3.263 g = 0.153 g.
Since the density of mercury is 13.546 g/cm^3, we can then find the volume by dividing the mass by the density, giving us approximately 0.0113 cm^3.
Next, we use the formula for the volume of a cylinder,
Which is V = πr²h, where V is the volume, r is the radius, and h is the height. We know that the height of the capillary filled with mercury is 1.675 cm.
So we can rearrange the formula to solve for radius r = sqrt(V/πh).
Substituting in our values gives us r = sqrt(0.0113 cm³ / (π * 1.675 cm)) = 0.054 cm approximately.
Therefore, the diameter of the capillary tube, which is 2r, is 2 * 0.054 cm = 0.108 cm.
Learn more about Capillary Diameter Calculation here: https://brainly.com/question/33246936
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