Answer:
The molar mass of the metal is 24.32 g/mol (Magnesium)
Step-by-step explanation:
Step 1: Data given
volume of a 0.2 M HCl = 125 mL = 0.125 L
Mass of the metal = 0.304 grams
Step 2: The balanced equation
M + 2HCL ⇔ MCL2+ H2
Step 3: Calculate moles of HCl
Moles HCl = molarity * volume
Moles HCl = 0.2 M * 0.125 L
Moles HCl = 0.025 moles
Step 4: Calculate moles M
For 1 mol M we need 2 moles HCl to produce 1 mol MCl2 and 1 mol H2
For 0.025 moles HCl we have 0.025/2 = 0.0125 moles M
Step 5: Calculate molar mass M
Molar mass M = mass M / moles M
Molar mass M = 0.304 grams / 0.0125 moles
Molar mass M = 24.32 g/mol
The molar mass of the metal is 24.32 g/mol (Magnesium)