What is wrong in taking 30.000 g of water and adding the required mass of sugar?

Question

What is wrong in taking 30.000 g of water and adding the required mass of sugar?

Considering the two measured parameters (h and d) and considering the formula for calculating the volume, which of the two parameters exerts a bigger influence on the accuracy of the measurement, diameter or height? Explain your reasoning?

What is wrong in taking 30.000 g of water and adding the required mass of sugar?

Compare and discuss the three approaches (ruler, caliper and immersion). Which one do you expect to be most accurate and why?

Explanation / Answer

When a solute( in tihis case sugar) is added to water, the volume will increase.when concentration is expressed we express molarity as smoles of solute dissolved in liter of solution.since one ltter is the soltuon volume whicn is fixed, we can not have a situation where volume will increase.

Ruler method used the ruler to measure the dimensions and calculates the dimensions and then subsequently the volume

The Caliper is a precision instrument that measures l distances extremely accurately. But there is a limt to accuracy

Archimedes' principle states that the buoyant force on a body is the loss of weight of that body when it is immersed in a liquid.

Since "the methods employing Archimedes' principle with a balance scale required the subtraction of two scale readings" this is more accurate.

The volume is given by

For a cylnder V= (1/3) Pi*r2*h= (1/12)*PiD2h where D is diameter, h the height and Pi=22/7

since V is proportional to square of diameter, D will have more influence on volume for cylinder

For sphere of radius r and height h Volume = Pi*h2(d/2-h/3)

height will have more influence

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