Bycici007
I am trying to solve the following task:
According to the book, the answer is:
My question is, should the 13ml and 50ml be converted to liters to ensure consistency, since the concentration is given in moles/liter? If not, why is that?
Thank you in advance
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Could someone tell me the solution to this?
The units are reduced accordingly, so there is no reason to use the standard unit.
It is only converted most of the time because that way you are sure not to make a mistake (it would be wrong to only convert the 13ml, but not the 50ml).
When I convert it, I get 1.3 mol/l, which would be wrong.
Then you made a mistake and only converted the 50 ml but not the 13. Either convert everything to liters or leave both in ml.
In the exercises, the concentration is given as mol/L. This means the exercise uses the unit for concentration without conversion. If you recognize ml and LmL, you also know that L refers to the substance and not the other way around.
What added value do you expect from converting one unit into another if it's going to cancel out anyway? Whether you cancel out ml and ml or l and l, it's all the same…
The fact that the unit mol/l is used at the end of the calculation is not ensured by the volume information, but by the concentration of the hydrochloric acid, which is already in mol/l and is not canceled out.
Take a look at the last line of the formula in your solution diagram. You can clearly see that you can cancel out the milliliters, since they're in both the numerator and denominator.
So in this case you don’t have to convert anything.
You can do that if you feel more comfortable with consistent units. However, in this case, you have the unit ml in both the numerator and denominator, and they cancel each other out. If you divide everything above and below by 1000 and write liters instead, this also cancels out—so you might as well leave it out.
Thanks for the reply.
But if I do it consistently, the result is 1.3 mol/l. The correct value would be 0.13 mol/l. What's wrong, and how do I know when to convert the units so they're consistent, and when it's like this?
You never need to adjust units as long as you calculate correctly. You should adjust them when you calculate with them (e.g., when reducing or multiplying them, otherwise it becomes error-prone).
Dann ist dir beim Umrechnen ein Fehler unterlaufen.
(0,5 mol/l • 0,013 l) / 0,050 l = 0,13 mol/l