Final answer:
The coefficients for the balanced reaction are 2 1 2 2.
Step-by-step explanation:
The coefficients for the balanced reaction are:
 
HCl + Mg = MgCl₂ + H₂
 
a. 2 1 1 1
 
b. 2 1 2 2
 
c. 1 2 1 1
 
d. 1 1 1 2
 
The correct answer is b. 2 1 2 2. This means that 2 molecules of hydrochloric acid (HCl) react with 1 molecule of magnesium (Mg) to produce 2 molecules of magnesium chloride (MgCl₂) and 2 molecules of hydrogen gas (H₂).