Question

The student puts a teaspoon (10 g) of C12H22O11 sugar in a cup of tea. How many sugar molecules does a student drink along with this tea?

Answer 1

1.76 x 10²²molecucles

Step-by-step explanation:

Given parameters:

Mass of the sugar C₁₂H₂₂O₁₁ = 10g

Unknown:

Number of molecules = ?

Solution:

The number of molecules can be determined if we find the number of moles first.

Number of moles =
`(mass)/(molar mass)`

Molar mass of C₁₂H₂₂O₁₁ = 12(12) + 22(1) + 11(16) = 342g/mol

Number of moles =
`(10)/(342)` = 0.029mole

1 mole of C₁₂H₂₂O₁₁ will contain 6.02 x 10²³

0.029 mole of C₁₂H₂₂O₁₁ will be made up of 0.029 x 6.02 x 10²³

= 1.76 x 10²²molecucles