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Chapter 2: Problem 26

If the volume of a proton were similar to the volume of an electron, how will the densities of these two particles compare to each other?

Short Answer

Expert verified
The density of a proton is approximately 1836 times greater than the density of an electron, assuming their volumes are similar. This is because the mass of a proton is about 1836 times greater than that of an electron, and density is directly proportional to mass when volumes are the same.

Step by step solution

01

Finding the masses of proton and electron

The mass of a proton is approximately \(1.6726 脳 10^{-27} kg\), and the mass of an electron is approximately \(9.1094 脳 10^{-31} kg\).
02

Expressing the mass ratio

To compare their densities, we need to find the ratio of their masses, which can be expressed as: \[ \frac{mass_{proton}}{mass_{electron}} = \frac{1.6726 脳 10^{-27} kg}{9.1094 脳 10^{-31} kg} \]
03

Calculate the mass ratio

Now, let's calculate the mass ratio: \[ \frac{1.6726 脳 10^{-27} kg}{9.1094 脳 10^{-31} kg} \approx 1836 \]
04

Comparing densities

Since the volumes of the proton and electron are assumed to be similar, the ratio of their masses will be the same as the ratio of their densities. Therefore, the density of a proton is approximately 1836 times greater than the density of an electron.

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Most popular questions from this chapter

Early tables of atomic weights (masses) were generated by measuring the mass of a substance that reacts with 1.00 g of oxygen. Given the following data and taking the atomic mass of hydrogen as 1.00, generate a table of relative atomic masses for oxygen, sodium, and magnesium. How do your values compare with those in the periodic table? How do you account for any differences?

Radiotracers are radioactive substances that can be introduced into organisms by way of ingestion or injection and whose pathway can be traced by monitoring their radioactivity. How many protons and neutrons do the following radiotracers contain? a. Iodine-131, used in the diagnosis and treatment of illnesses of the thyroid gland. b. Thallium-201, used to assess the damage to the heart muscle in a person who has suffered a heart attack.

a. Classify the following elements as metals or nonmetals: $$\begin{array}{lll}\mathrm{Mg} & \mathrm{Si} & \mathrm{Rn} \\ \mathrm{Ti} & \mathrm{Ge} & \mathrm{Eu} \\ \mathrm{Au} & \mathrm{B} & \mathrm{Am} \\\ \mathrm{Bi} & \mathrm{At} & \mathrm{Br}\end{array}$$ b. The distinction between metals and nonmetals is really not a clear one. Some elements, called metalloids, are intermediate in their properties. Which of these elements would you reclassify as metalloids? What other elements in the periodic table would you expect to be metalloids?

The isotope of an unknown element, \(X\) , hass a mass number of \(79 .\) The most stable ion of the isotope has 36 electrons and forms a binary compound with sodium, having a formula of \(\mathrm{Na}_{2} \mathrm{X}\) . Which of the following statements is (are) true? For the false statements, correct them. a. The binary compound formed between X and fluorine will be a covalent compound. b. The isotope of X contains 38 protons. c. The isotope of X contains 41 neutrons. d. The identity of X is strontium, Sr.

What is the systematic name of \(\mathrm{Ta}_{2} \mathrm{O}_{5} ?\) If the charge on the metal remained constant and then sulfur was substituted for oxygen, how would the formula change? What is the difference in the total number of protons between \(\mathrm{Ta}_{2} \mathrm{O}_{5}\) and its sulfur analog?
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