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Numerade Educator

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Problem 33 Hard Difficulty

Find the number of electrons, and of each species of quark, in 1.00 L of water.

Answer

Number of electrons:
$3.34 \times 10^{26}$ Number of up quarks = $9.36 \times 10^{26}$ Number of down quarks = $8.70 \times 10^{26}$ .

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Top Physics 103 Educators
Elyse G.

Cornell University

Zachary M.

Hope College

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Video Transcript

this question Make even one beat off water. They want to find out what a r d told the number off electrons thought on above individual clock species in water. So we know that what I see is too. Oh, we're gonna find first. How many more accused? A are right. We take t mess off this amount off water divided by the molar mess or fighter jet. I mean more than mess off water. So that is 18 grants for more. They're multiplied it by avocados Constant, which tells us how many molecules they are put more to give us the number of molecules not a mess of water is we take the volume multiply by the DNC so you DST is actually one 1000 grams per liter. So we should get the 1000 grams over here, divided by 18 grams per mole to get number Moore's and much by Bob. Because with this constant Salgado's constant 6.2 times 10 politan tree and so we should get 3.4 instead the party off five D c. Number of moral accuse. Now each more like you contains which, like you has 10 protons, right tool from the hydrogen at eight from the oxygen Templeton. And also that means we have two electrons, right? Since the proton electron numbers are always equal in order to keep the atom or molecule, you neutral. Next. BF it's heat nutrients, right? So the neutrons are mostly only from the oxygen. The hydrogen don't have any nutrients. So needy oxygen has it nutrients. So now there is simply we find number off electron take number of all accuse multiplied it by 10. And this will be the novel off electorates. On the other hand, for the protons and neutrons we need your foot a break them down into the court content. Since you only want to find what s the number off each of the clocks? So protons, It's made up off two o'clock so to up and one don't. When young and for the neutron it is one up and two down. All right, so the total number off let's stop 50 don't cook. So be close to number off one accuse. So that's just Prius and number more accuse multiplied by 10 which is the number of protons I want to play by one ninth century. She brought on has one don't clock. They re edit Reef and times eight, which is the number off nutrients. Much played it by to cinch issue. John has to don't clocks. We should get total down clocks to be 8.7%. Poll. Six. Do the same thing for the up. Cook and types. 10 Number of protons and each boat on his toe. Crocs. So much private by two. First the contribution from the nutrients that it's end times eight times one. Choose each neutron on yes, one up clock and we get 9.6 times. 10. Paul Wolf, 26.

National University of Singapore
Top Physics 103 Educators
Elyse G.

Cornell University

Zachary M.

Hope College

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg