The plane takes off, 0.999... = 1, but what about...

[JohnCU]

If you have 2 liquids (you don't know what they are), 1 mL of each and you add them together, can you be 100% sure that the resulting solution is 2 mL?

 

[2Xtreme21]

Matter cannot be created nor destroyed FTW.

 

[Sukhoi]

No, products of a reaction can be more dense. Easy, jeez.

Conservation of mass, not volume.

 

[JohnCU]

Originally posted by: Sukhoi
No, products of a reaction can be more dense. Easy, jeez.

Conservation of mass, not volume.

you'd be surprised how many people are surprised by this experiment.

 

[snoopdoug1]

If you have 2 liquids (you don't know what they are), 1 mL of each and you add them together, can you be 100% sure that the resulting solution is 2 mL?

edit: I'm retarded

 

[xeemzor]

Originally posted by: JohnCU
If you have 2 liquids (you don't know what they are), 1 mL of each and you add them together, can you be 100% sure that the resulting solution is 2 mL?

Isn't it possible for a gas or precipitate to form? If that is the case, then you won't have a 2ml solution, but you'd still have 2ml of the product.

 

[Brainonska511]

It won't necessarily be 2mL. One solution could dissolve within the other and you'll have less than 2mL.

 

[Brainonska511]

Originally posted by: 2Xtreme21
Matter cannot be created nor destroyed FTW.

Conservation of mass, not conservation of volume.

Originally posted by: xeemzor

Originally posted by: JohnCU
If you have 2 liquids (you don't know what they are), 1 mL of each and you add them together, can you be 100% sure that the resulting solution is 2 mL?

Isn't it possible for a gas or precipitate to form? If that is the case, then you won't have a 2ml solution, but you'd still have 2ml of the product.

You won't have 2mL of product. You'll have the same mass, but it is likely that the product will not be the combination of the starting material.

 

[Sukhoi]

Originally posted by: JohnCU

Originally posted by: Sukhoi
No, products of a reaction can be more dense. Easy, jeez.

Conservation of mass, not volume.

you'd be surprised how many people are surprised by this experiment.

I'm not seeing the problem. And I do mean reacting to form a precipitate.

 

[sandorski]

Evaporation is also likely to occur, but the difference might be so negligable(sp..aka it's wrong)(especially from evaporation) that it makes no difference.

 

[JohnCU]

Originally posted by: Sukhoi

Originally posted by: JohnCU

Originally posted by: Sukhoi
No, products of a reaction can be more dense. Easy, jeez.

Conservation of mass, not volume.

you'd be surprised how many people are surprised by this experiment.

I'm not seeing the problem. And I do mean reacting to form a precipitate.

No precipitate. No reaction.

 

[enwar3]

what's the plane takes off one?

 

[Brainonska511]

Originally posted by: JohnCU

Originally posted by: Sukhoi

Originally posted by: JohnCU

Originally posted by: Sukhoi
No, products of a reaction can be more dense. Easy, jeez.

Conservation of mass, not volume.

you'd be surprised how many people are surprised by this experiment.

I'm not seeing the problem. And I do mean reacting to form a precipitate.

No precipitate. No reaction.

Even if that is the case, you can still have less than 2mL of final combined solution since one solution may partially dissolve the other.

 

[randay]

No, the plane does not take off.

 

[thesurge]

Uhh no...

there's no conservation of volume.

two liquids can evolve a gas (which under different pressures creates different volumes), a precipitate, etc.

 

[mb]

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

 

[IAteYourMother]

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

 

[mb]

Originally posted by: IAteYourMother

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

negative

 

[Brainonska511]

Originally posted by: supafly

Originally posted by: IAteYourMother

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

negative

yes it does.

Say you have x = .9999999999999999....
multiply both sides by 10, and subtract the original from it.

10x = 9.99999999999999999...
-x = 0.99999999999999999...
9x = 9
x=1

 

[mb]

Originally posted by: Brainonska511

Originally posted by: supafly

Originally posted by: IAteYourMother

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

negative

yes it does.

Say you have x = .9999999999999999....
multiply both sides by 10, and subtract the original from it.

10x = 9.99999999999999999
-x = 0.99999999999999999
9x = 9
x=1

incorrect

 

[Brainonska511]

Originally posted by: supafly

Originally posted by: Brainonska511

Originally posted by: supafly

Originally posted by: IAteYourMother

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

negative

yes it does.

Say you have x = .9999999999999999....
multiply both sides by 10, and subtract the original from it.

10x = 9.99999999999999999...
-x = 0.99999999999999999...
9x = 9
x=1

incorrect

How so?

 

[mb]

Originally posted by: Brainonska511

Originally posted by: supafly

Originally posted by: Brainonska511

Originally posted by: supafly

Originally posted by: IAteYourMother

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

negative

yes it does.

Say you have x = .9999999999999999....
multiply both sides by 10, and subtract the original from it.

10x = 9.99999999999999999...
-x = 0.99999999999999999...
9x = 9
x=1

incorrect

How so?

Because I say so, and I am never wrong.

 

[MrPickins]

Originally posted by: supafly

Originally posted by: IAteYourMother

Originally posted by: supafly

Originally posted by: randay
No, the plane does not take off.

.99999... doesn't equal 1

yes it does

negative

So it equals -1? Now I'm really confused.

 

[91TTZ]

Originally posted by: JohnCU
If you have 2 liquids (you don't know what they are), 1 mL of each and you add them together, can you be 100% sure that the resulting solution is 2 mL?

No.

Mix ethanol and water. You won't have 2 ml. Water and ethanol are miscable, and the alcohol absorbs water.

 

[Ophir]

Back to the OP ... no, the volume of a mixture is rarely equal to the sum of the volume of each component. The mixture volume will be lower (although, I think some polymer-solvent systems have higher). These mixtures are called non-ideal solutions and arise from intermolecular forces between solute and solvent molecules.