Question

$50$ ml of $1$ M oxalic acid is shaken with $0.5$ gm of wood charcoal. The final concentration of the solution after adsorption is $0.5$ M. Amount of oxalic acid absorbed per gm of charcoal is:
(A) $3.45$ gm
(B) $3.15~$ gm
(C) $6.30~$ gm
(D) none of these

Answer 1

Hint : A solution's concentration is a measure of how much solute has been dissolved in a given amount of solvent or solution. A concentrated solution contains a significant amount of dissolved solute. A dilute solution is one with a small amount of dissolved solute.

Complete Step By Step Answer:
The concentration of a solution is a measurement of how much solute has been dissolved in a given amount of solvent or solution. A concentrated solution has a high concentration of dissolved solute. A dilute solution is one that contains only a small amount of dissolved solute.
For all substances, the number of atoms or other particles in a mole is the same. The mole is related to an element's mass in the following way:
One mole of carbon- $12$ atoms contains $6.02214076\text{ }\times \text{ }{{10}^{23}}$ atoms and weighs $12$ grams.
No. of moles in $50$ ml of $1$ M oxalic acid is = $\dfrac{50L}{1000}$ $\times$ $1M$ = $0.05$ moles of oxalic acid,
After adsorption, remaining moles of oxalic acid = $\dfrac{50L}{1000}\times 0.5M=~0.025$ moles.
Thus, moles that adsorb on charcoal are $=0.05-0.025=0.025$ moles of oxalic acid.
Therefore, $0.025$ moles of oxalic acid adsorb on $0.5$ g of charcoal.
$1$ gram of charcoal moles adsorb $=0.50.025$ $=0.05$ moles of oxalic acid.
Amount of oxalic acid adsorbed per gram of charcoal $=~0.05\times 126g/mole$ = $6.30$ grams.
Thus, $6.30$ g of oxalic acid is absorbed per gram of charcoal.
Thus, the answer is option C : $6.30$ g.

Note :
The molar mass of a substance is the mass of one mole of that substance in gram multiples. The number of moles in the sample represents the amount of substance. For most practical purposes, the magnitude of molar mass is equal to the mean mass of one molecule expressed in daltons.