A graduated cylinder was filled with water to the 15.0 mL mark and weighed on a balance. Its ma

step 1 In this problem of scientific measurement, we have given that a graduated cylinder was filled wi

A graduated cylinder was filled with water to the 15.0 mL...

A graduated cylinder was filled with water to the $15.0 \mathrm{~mL}$ mark and weighed on a balance. Its mass was $27.35 \mathrm{~g}$. An object made of silver was placed in the cylinder and completely submerged in the water. The water level rose to $18.3 \mathrm{~mL}$. When reweighed, the cylinder, water, and silver object had a total mass of $62.00 \mathrm{~g}$. Calculate the density of silver in $\mathrm{g} \mathrm{cm}^{-3}$.

Key Concepts

Archimedes' Principle

Archimedes' Principle states that any object completely or partially submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. While often applied to explain buoyant forces, this principle also underpins volume displacement methods by linking the displaced fluid's volume to the properties of the submerged object.

Volume Displacement

Volume displacement is a method used to determine the volume of an irregularly shaped object by submerging it in a fluid and measuring the change in the fluid's level. This technique is based on the fact that the volume of fluid displaced is equivalent to the volume of the object, making it a practical and widely used approach when direct volume measurement is not feasible.

Mass

Mass is a measure of the amount of matter contained in an object. It plays a central role in many physical calculations and experiments, acting as a quantitative baseline for determining other properties such as density. Accurate determination of mass through weighing is important in both laboratory settings and real-world applications.

Density

Density is a fundamental physical property defined as the mass per unit volume of a substance. It is calculated using the formula density = mass/volume, which provides insight into how compactly matter is packed in a material. Understanding density is crucial when comparing different materials or verifying the purity or composition of a substance.

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