Atoms in a Bottle: Counting Ethyl Acetate Molecules

[Sace Ver]

Homework Statement

A bottle of nail polis remover contains approximately 2.5 mol of ethyl acetate (C₄H₈O₂)
How many atoms are in the bottle?

Homework Equations

?

The Attempt at a Solution

Would there just be 14 atoms?

 

[JeremyG]

Review the definition of the mole. Is there only one molecule of ethyl acetate in the entire bottle?

 

[Sace Ver]

Review the definition of the mole. Is there only one molecule of ethyl acetate in the entire bottle?

Would it be 1.02 x 10 ²⁵ atoms?

 

[Borek]

Would it be 1.02 x 10 ²⁵ atoms?

That's not what I got (but much better than the initial 14 atoms).

Where did this number came from?

 

[Sace Ver]

That's not what I got (but much better than the initial 14 atoms).

Where did this number came from?

N=nN_A
N=(2.5mol)(6.02x10²³)
N=1.5x10²⁴mol

N_C=(1.5x10²⁴mol)(4)=6.0x10²⁴
NN_H=(1.5x10²⁴mol)(8)=1.2x10²⁵
NN_O=(1.5x10²⁴mol)(2)=3.0x10²⁴

Then I added all of my answers up.

Edit by Borek: closed formatting tags.

 

[SteamKing]

N=nN_A
N=(2.5mol)(6.02x10²³)
N=1.5x10²⁴mol

To be sure, the units here are molecules of ethyl acetate.

N_C=(1.5x10²⁴mol)(4)=6.0x10²⁴
NN_H=(1.5x10²⁴mol)(8)=1.2x10²⁵
NN_O=(1.5x10²⁴mol)(2)=3.0x10²⁴

Then I added all of my answers up.

It's hard to follow your calculations here. They seem to be shrinking.

Edit by Borek: corrected.

Each and every molecule of ethyl acetate has 4C + 8H + 2O = 14 atoms.

Wouldn't it be easier to multiply the number of atoms in each molecule of ethyl acetate by the number of molecules of ethyl acetate in the bottle?

 

[Sace Ver]

To be sure, the units here are molecules of ethyl acetate.It's hard to follow your calculations here. They seem to be shrinking.

Each and every molecule of ethyl acetate has 4C + 8H + 2O = 14 atoms.

Wouldn't it be easier to multiply the number of atoms in each molecule of ethyl acetate by the number of molecules of ethyl acetate in the bottle?

14 multiplied by 1.5x10²⁴ molecules?

 

[SteamKing]

14 multiplied by 1.5x10²⁴ molecules?

More specifically, 14 atoms / ethyl acetate molecule times 1.5 × 10²⁴ ethyl acetate molecules / bottle of nail polish remover = ?

 

[Sace Ver]

More specifically, 14 atoms / ethyl acetate molecule times 1.5 × 10²⁴ ethyl acetate molecules / bottle of nail polish remover = ?

2.1x10²⁵atoms?

 

[SteamKing]

2.1x10²⁵atoms?

Yes.

 

[Borek]

N_C=(1.5x10²⁴mol)(4)=6.0x10²⁴
NN_H=(1.5x10²⁴mol)(8)=1.2x10²⁵
NN_O=(1.5x10²⁴mol)(2)=3.0x10²⁴

Then I added all of my answers up.

Not exactly. You added

6.0x10²⁴ + 1.2x10²⁴ + 3.0x10²⁴

instead of a correct

6.0x10²⁴ + 1.2x10²⁵ + 3.0x10²⁴