Question

Water has a mass per mole of 18.0 g/mol, and each water molecule (H20) has 10 electrons. (a) How many electrons are there in one liter (1.00 x 10 m ) of water?

Answer 1

total number of electron in 1 litter is 3.34 ×
`10^(26)` electron

Step-by-step explanation:

given data

mass per mole = 18 g/mol

no of electron = 10

to find out

how many electron in 1 liter of water

solution

we know molecules per gram mole is 6.02 ×
`10^(23)` molecules

no of moles is 1

so

total number of electron in water is = no of electron ×molecules per gram mole × no of moles

total number of electron in water is = 10 × 6.02 ×
`10^(23)` × 1

total number of electron in water is = 6.02×
`10^(24)` electron

and

we know

mass = density × volume ..........1

here we know density of water is 1000 kg/m

and volume = 1 litter = 1 ×
`10^(-3)` m³

mass of 1 litter = 1000 × 1 ×
`10^(-3)`

mass = 1000 g

so

total number of electron in 1 litter = mass of 1 litter ×
`(molecules per gram mole)/(mass per mole)`

total number of electron in 1 litter = 1000 ×
`\frac{6.02*10{24}}{18}`

total number of electron in 1 litter is 3.34 ×
`10^(26)` electron