A student used 0.29 g of a sample and added to it 50.0 mL of 0.100 M HCl. The resulting solution then required 39.50 mL of 0.0980 M NaOH to reach a pH of 3.0. What is the acid consuming capacity of the sample in moles of acid neutralized per gram of sample?

Respuesta :

Answer:

[tex]0.15\frac{mol}{g}[/tex]

Explanation:

The first step is to calculate the total amount of moles of HCl, so:

[tex]500 mL = 0.5 L\\\\M=\frac{mol}{L} \\\\\\mol=0.5L*0.1M=0.05 mol~ HCl[/tex]

Then we can calculate the moles of HCl consumed in the reaction of NaOH:

[tex]HCl~ +~ NaOH~ ->~ NaCl~ +~ H_2O[/tex]

[tex]39.5~mL=~0.0395~L\\\\mol~=~0.0395L*0.098M=~0.0038~mol~NaOH\\\\0.0038~mol~NaOH=~0.0038~mol~HCl[/tex]

Then we have to substract from the intial value to obtain the moles of HCl that react with the sample:

[tex]0.05-0.0038=0.0461~mol~HCl[/tex]

Finally to know the ratio between grams and moles we have to divide:

[tex]\frac{0.0461~mol}{0.29~g}[/tex]

[tex]0.15\frac{mol}{g}[/tex]