Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 18 - Electric Forces and Electric Fields - Problems - Page 509: 7

Answer

(a) The number of electrons are in one liter of water $\approx3.35\times10^{26}$ (b) The net charge of all the electrons contained in one liter water $=-5.36\times10^{7} C$

Work Step by Step

(a) $1$ liter water $=$ $1000$ $g$ water Mass of $1$ mole water $=$ $18$ $g$ Therefore, one liter water $=\frac{1000}{18}$ moles water $1$ mole water contains $6.022\times10^{23}$ (avogadro's number) number of water molecules. Therefore number of molecules in $1$ liter water $=\frac{1000}{18}\times6.022\times10^{23}$ Given, each water molecule has 10 electrons Therefore, the number of electrons are in one liter of water $=\frac{1000}{18}\times6.022\times10^{23}\times10$ $\approx3.35\times10^{26}$ (b) Charge of an electron $-1.60\times10^{-19} C$ Therefore the net charge of all the electrons contained in one liter water $=-(3.35\times10^{26}\times1.60\times10^{-19}) C$ $=-5.36\times10^{7} C$
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