Respuesta :
Answer: 10 micrograms per liter of urine is below the legal safe limit and the dentist is not at risk for mercury poisoning.
Explanation:
To calculate the number of moles, we use the formula:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
We are given:
Given mass of mercury = [tex]10\mu g=10^{-5}g[/tex] (Conversion factor: [tex]1\mu g=10^{-6}g[/tex] )
Molar mass of mercury = 200.6 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of mercury}=\frac{10^{-5}g}{200.6g/mol}\\\\\text{Moles of mercury}=4.9\times 10^{-8}mol[/tex]
According to mole concept:
1 mole of an element contains [tex]6.022\times 10^{23}[/tex] number of atoms
So, [tex]4.9\times 10^{-8}[/tex] moles of mercury will contain = [tex]\frac{6.022\times 10^{23}}{1}\times 4.9\times 10^{-8}=2.95\times 10^{16}[/tex] number of atoms.
We are given:
Legal safe limit for mercury in urine = [tex]4.053\times 10^{17}[/tex] atoms
Calculated amount of mercury in urine = [tex]2.95\times 10^{16}[/tex] atoms
As, the calculated amount of mercury in urine is less than the legal safe limit of mercury in urine. So, the average dentist is not at risk for mercury poisoning.
Hence, 10 micrograms per liter of urine is below the legal safe limit and the dentist is not at risk for mercury poisoning.
