Simplified 2.0 mL .20M X added to 9ml

[Whalstib]

Simplified... 2.0 mL .20M "X" added to 9ml

Homework Statement

Simplified...

2.0 mL .20M "X" added to 9ml making an 11mL soln.

What would be the concentration of "X"?

Homework Equations

M= molarity=moles/liters

The Attempt at a Solution

2.0ml=.002L x .2M= .0004 moles/.011L=.0363636...M "X"

Right?...

Thanks,

Warren

 

[danago]

Homework Statement

Simplified...

2.0 mL .20M "X" added to 9ml making an 11mL soln.

What would be the concentration of "X"?

Homework Equations

M= molarity=moles/liters

The Attempt at a Solution

2.0ml=.002L x .2M= .004 moles/.011L=.363636...M "X"

Right?...

Thanks,

Warren

Sure about that?

 

[Whalstib]

Now I am...

.0363636...

 

[Borek]

2.0ml=.002L x .2M= .0004 moles/.011L=.0363636...M "X"

It suggests correct thinking, but writing 2 mL=0.0004 moles and asking if it is correct is... funny. It is about as correct as writing

2=7

5=3.14

and so on.

Compare dilution and mixing calculations.

 

[Whalstib]

Molarity = moles/liters so to revert to moles i would multiply by liters...
.2M x .002 liters = .0004 moles

Is this the problem?

Mr. Borek, where is it stated .2ml = .0004 moles?

Let's re establish the idea:

.002L of .2M "X" would by definition = .0004 moles "X" ... right?
The .0004 moles "X" are added to "Y" to create a .011L soln creating a .0004/.011 (moles/liter=molarity) = .0363636...M "X"... right?

Since I've been confused by the above responses could some one confirm or deny my results and suggest a formula to obtain the correct one if I am wrong?

Thanks,

Whalstib

 

[danago]

Molarity = moles/liters so to revert to moles i would multiply by liters...
.2M x .002 liters = .0004 moles

Is this the problem?

Borek was commenting on the way you set out your working, not the actual math and chemistry involved.

If your first line was "2.0ml=.002L", then it would be ok; but you instead had "2.0ml=.002L x .2M". 2mL is indeed equivalent to 0.002L, but it is not the same thing as 0.0004 moles. If you ever use an equality sign in your working, you should make sure that the quantities on either side have the same dimensions.

If i was doing this problem, i'd break it into multiple lines:
2mL = 0.002L
0.002L * 0.2 mol/L = 0.0004 moles of X
0.0004 moles / 0.011L = 0.03636 mol/L

Or something similar.

EDIT: I must have posted this just after you edited the post above.

 

[Borek]

Mr. Borek, where is it stated .2ml = .0004 moles?

My fault with not quoting you exactly, but you started with

2.0ml=.002L x .2M

Which is equivalent of stating 2mL=0.0004 mole. That's an obvious shortcut, and notation is awkward - it suggests something you don't mean.

.002L of .2M "X" would by definition = .0004 moles "X" ... right?
The .0004 moles "X" are added to "Y" to create a .011L soln creating a .0004/.011 (moles/liter=molarity) = .0363636...M "X"... right?

0.036M is a correct result. And theory behind (which is not different from what you did) is on the page I linked to.

Note that volumes are not additive, so in general it may happen that 2mL + 9mL are not 11 mL. Unlikely in the case of diluted solutions, and rarely worth of taking into account, but it may hit one day if you ignore it.

--
methods

 

[Whalstib]

Thanks!

Sorry for the sloppy notation.

I'll try to work on that as I have LOTS of questions this semester!

Whalstib