One 55-gram serving of a particular cereal supplies 270 mg of sodium, 11% of the recommended daily allowance. How many moles and atoms of sodium are in the recommended daily allowance?

Respuesta :

Answer: The moles of sodium are 0.012 moles and number of atoms are [tex]7.23\times 10^{21}[/tex] that are recommended daily allowance

Explanation:

We are given:

Mass of sodium recommended in daily allowance = 270 mg

To calculate the number of moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Given mass of sodium = 270 mg = 0.270 g    (Conversion factor: 1 g = 1000 mg)

Molar mass of sodium = 23 g/mol

Putting values in above equation, we get:

[tex]\text{Moles of sodium}=\frac{0.270g}{23g/mol}=0.012mol[/tex]

According to mole concept:

1 mole of an element contains [tex]6.022\times 10^{23}[/tex] number of atoms

So, 0.012 moles of sodium will contain = [tex](0.012\times 6.022\times 10^{23})=7.23\times 10^{21}[/tex] number of atoms

Hence, the moles of sodium are 0.012 moles and number of atoms are [tex]7.23\times 10^{21}[/tex] that are recommended daily allowance