Question

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?

Answer 1

There are
`5.1034* 10^(11)` molecules.

Step-by-step explanation:

`n=(m)/(M)`

`N=n* N_A`

Where:

m = mass of the compound

M = Molar mass of the compound

N = Number of particles / atoms/ molecules

n = Number of moles

`N_A=6.022* 10^(23) mol^(-1)` = Avogadro's number

We have:

m =
`1.0\mu g=1.0* 10^(-10) g`

M =
`6* 12 g/mol+14 * 1 g/mol+2* 16 g/mol=118 g/mol`

`n=(1.0* 10^(-10) g)/(118 g/mol)`

`N=n* N_A=(1.0* 10^(-10) g)/(118 g/mol)* 6.022* 10^(23) mol^(-1)`

`N=5.1034* 10^(11) molecules`

There are
`5.1034* 10^(11)` molecules.