Answer:
The balanced chemical equation is Mg + 2HCl ⇒ MgCl2 + H2
The molarity of the hydrochloric acid solution is HCl 0.04 M and the pH = 1.4.
The volume of hydrogen gas produced by the reaction of 0.510 g of Mg will be 0.482 L.
Explanation:
First, for the balanced equation you have to consider the oxidation state of the elements to find subscripts. Then you can find the correct coeficients. Mg= +2, Cl = -1.
Mg + HCL ⇒ MgCl2 + H2
For the molarity of the solution you have to notice tha if 0.510 grams of Mg reacts with 0,5 L of hydroclhoric acid, and from the previous equation 1 mol of Mg reacts with 2 mol HCl.
The atomic mass of Mg = 24.31 grs/mol
24.31 grs------------ 1 mol Mg
0.510 grs------------ x=0.02 mol Mg.
If 1 mol of Mg reacts with 2 mol HCl, then 0.02 mol of Mg will react with
0.04 mol HCl. So, the molarity of the solution is 0.04 M HCl.
Then to calculate the pH we use the formula pH = - log [H+]
⇒ pH = -log [0.04]⇒ pH=1.4.
Finally, from the balanced equation and the findings described, and considering that at 25°C and 1.00 atm 1 mol of gas has volume of 24.1 L.
1 mol H2----------- 24.1 L
0.02 mol H2----- x= 0.482L.
