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Ch 22: Electric Charges and Forces
Knight Calc - Physics for Scientists and Engineers 5th Edition
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796당신이 사용하는 게 아니라요?교과서 변경
22장, 문제 5

What is the total charge of all the electrons in 1.01.0 L of liquid water?

검증된 단계별 안내
1
Determine the number of water molecules in 1.0 L of liquid water. Start by calculating the mass of 1.0 L of water, assuming the density of water is approximately 1.0 g/mL. Since 1.0 L = 1000 mL, the mass of water is 1000 g.
Calculate the number of moles of water molecules using the molar mass of water (H₂O), which is approximately 18.015 g/mol. Use the formula: \( \text{moles of water} = \frac{\text{mass of water}}{\text{molar mass of water}} \).
Find the total number of water molecules by multiplying the moles of water by Avogadro's number (\( 6.022 \times 10^{23} \) molecules/mol).
Each water molecule contains 10 electrons (2 from hydrogen atoms and 8 from the oxygen atom). Multiply the total number of water molecules by 10 to find the total number of electrons.
Calculate the total charge of all the electrons using the charge of a single electron, which is \( -1.602 \times 10^{-19} \) C. Multiply the total number of electrons by this charge to find the total charge.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
6m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Charge of an Electron

An electron carries a fundamental charge of approximately -1.6 x 10^-19 coulombs. This negative charge is a basic property of electrons, which are subatomic particles found in atoms. Understanding the charge of an electron is essential for calculating the total charge in a given quantity of matter.
추천 영상:
가이드 코스
04:32
Electrons In Water (Using Density)

Molarity and Volume

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. In the context of water, knowing the volume (1.0 L) allows us to determine the number of moles of water present, which is crucial for calculating the total number of electrons in that volume.
추천 영상:
가이드 코스
05:21
Volume Thermal Expansion

Water's Molecular Structure

Water (H2O) consists of two hydrogen atoms and one oxygen atom, resulting in a total of 10 electrons per molecule (2 from hydrogen and 8 from oxygen). Understanding the molecular structure of water is vital for determining how many molecules are in a liter of water and subsequently calculating the total number of electrons.
추천 영상:
가이드 코스
01:50
Introduction to Kinetic-Molecular Theory
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