Answer:
11.2L is the volume of hydrogen gas produced.
Step-by-step explanation:
The reaction of Mg with HCl is:
Mg + 2HCl → MgCl₂ + H₂
Based on the reaction the moles of Magnesium are equal to moles of hydrogen produced, that is:
Moles Mg -Molar mass: 24.305g/mol-:
12.15g Mg * (1mol / 24.305g) = 0.500 moles of Mg = Moles of H₂
Now, using PV = nRT, where:
P is pressure -1atm at STP-
V is volume -Our incognite-
n are moles -0.500 moles of H₂-
R is gas constant -0.082atmL/molK-
And T is temperature -273.15K-:
1atm*V = 0.500mol*0.082atmL/molK*273.15K
V = 11.2L is the volume of hydrogen gas produced.