How much positive and negative charge is ther | vedclass

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Question

(C) The mass of one cup of water is $m = 250 \; g$. The molar mass of water $(H_2O)$ is $18 \; g/mol$.The number of moles in $250 \; g$ of water is $n

Vedclass · Accepted Answer

$1.34 	imes 10^{7} \; C$

Vedclass · Answer

(C) The mass of one cup of water is $m = 250 \; g$. The molar mass of water $(H_2O)$ is $18 \; g/mol$.The number of moles in $250 \; g$ of water is $n = 250 / 18 \approx 13.89 \; mol$.The number of molecules in one cup of water is $N = n 	imes N_A = (250 / 18) 	imes 6.022 	imes 10^{23} \approx 8.36 	imes 10^{24} \; 	ext{molecules}$.Each water molecule $(H_2O)$ contains $2$ hydrogen atoms ($2$ protons,$2$ electrons) and $1$ oxygen atom ($8$ protons,$8$ electrons). Thus,each molecule has $10$ protons and $10$ electrons.The total charge $q$ is given by $q = N 	imes (	ext{number of protons per molecule}) 	imes e$,where $e = 1.602 	imes 10^{-19} \; C$.$q = (8.36 	imes 10^{24}) 	imes 10 	imes 1.602 	imes 10^{-19} \; C \approx 1.34 	imes 10^{7} \; C$.Since the number of protons and electrons is equal,the magnitude of positive and negative charge is the same,which is $1.34 	imes 10^{7} \; C$.

How much positive and negative charge is there in a cup of water $(250 \; g)$?

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