Answer: 291.6 g
Solution step-by-step:
1) Chemical equation
Mg (s) + 2HCl (aq) → MgCl2 (aq) + H2 (g)
2) molar ratios
1 mol Mg (s) : 2 mol HCl (aq) : 1 mol MgCl2(aq) : 1 mol H2 (g)
3) Determine the number of moles of HCl in 4.8 liters of solution 5.0 M
M = n / V => n = M*V = 5.0M * 4.8 liters = 24 moles of HCl
4) Use the molar ratios between Mg and HCl to build a proportion and solve for the unnkown:
1 mol Mg x
-------------- = ----------------- => x = 24 mol HCl * 1 mol Mg / 2 mol HCl
2 mol HCl 24 mol HCl
x = 12 mol Mg.
5) Convert 12 mol Mg to grams using the atomic mass of Mg
Aomtic mass of Mg = 24.3 g/mol
Mass in grams = number of moles * atomic mass = 12 mol * 24.3 g/mol = 291.6 g.
Answer: 291.6 g
