Banana flavor (odor of bananas) can be obtained in the lab by reacting isopentyl alcohol (also called isoamyl alcohol) with acetic acid to obtain isopentyl (isoamyl) acetate, C6H1402, the compound responsible for the scent of bananas. It is interesting to note that bees release about 1.0 ug (1.0 x 10-g) of isopentyl acetate when they sting. The resulting scent attracts other bees to join the attack. How many molecules of isopentyl (isoamyl) acetate, C6H1402, are there in 1.0 ug of isopentyl (isoamyl) acetate, C6H1402?

Respuesta :

Answer:

There are [tex]5.1034\times 10^{11}[/tex] molecules.

Explanation:

[tex]n=\frac{m}{M}[/tex]

[tex]N=n\times N_A[/tex]

Where:

m = mass of the compound

M = Molar mass of the compound

N = Number of particles / atoms/ molecules

n = Number of moles

[tex]N_A=6.022\times 10^{23} mol^{-1}[/tex] = Avogadro's number

We have:

m = [tex]1.0\mu g=1.0\times 10^{-10} g[/tex]

M = [tex]6\times 12 g/mol+14 \times 1 g/mol+2\times 16 g/mol=118 g/mol[/tex]

[tex]n=\frac{1.0\times 10^{-10} g}{118 g/mol}[/tex]

[tex]N=n\times N_A=\frac{1.0\times 10^{-10} g}{118 g/mol}\times 6.022\times 10^{23} mol^{-1}[/tex]

[tex]N=5.1034\times 10^{11} molecules[/tex]

There are [tex]5.1034\times 10^{11}[/tex] molecules.