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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 116

The proton has a radius of approximately 1.0×10−13 cm and a mass of 1.7×10−24 g. Determine the density of a proton for a sphere V = (4/3)πr3.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Density

Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³). It provides a measure of how much matter is contained in a given volume. To calculate density, one can use the formula: Density = Mass / Volume, which is essential for determining the density of a proton in this context.
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Volume of a Sphere

The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. This formula is crucial for determining the volume of the proton, which is modeled as a sphere for the purpose of this calculation. Understanding how to apply this formula is necessary to find the volume needed for the density calculation.
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Proton Properties

A proton is a subatomic particle found in the nucleus of an atom, characterized by its positive charge and specific mass and radius. In this question, the proton's mass (1.7 * 10^-24 g) and radius (1.0 * 10^-13 cm) are provided, which are essential for calculating its density. Familiarity with these properties helps in understanding the scale and significance of the calculations involved.
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