Questions: Determine whether each equation is balanced as written. Mg + H2 SO4 -> MgSO4 + H2 Balanced 2 HCl + Mg(OH)2 -> 2 H2 O + MgCl2 Not balanced AgNO3 + NaCl -> NaNO3 + AgCl Balanced H2 + O2 -> 2 H2 O choose... C6 H12 O6 + O2 -> 6 CO2 + 6 H2 O choose ... CH4 + O2 -> CO2 + H2 O Choose ...

Determine whether each equation is balanced as written.
Mg + H2 SO4 -> MgSO4 + H2 Balanced
2 HCl + Mg(OH)2 -> 2 H2 O + MgCl2 Not balanced
AgNO3 + NaCl -> NaNO3 + AgCl Balanced
H2 + O2 -> 2 H2 O choose...
C6 H12 O6 + O2 -> 6 CO2 + 6 H2 O choose ...
CH4 + O2 -> CO2 + H2 O Choose ...
Transcript text: Determine whether each equation is balanced as written. $\mathrm{Mg}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow \mathrm{MgSO}_{4}+\mathrm{H}_{2}$ Balanced $2 \mathrm{HCl}+\mathrm{Mg}(\mathrm{OH})_{2} \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}+\mathrm{MgCl}_{2}$ Not balanced $\mathrm{AgNO}_{3}+\mathrm{NaCl} \longrightarrow \mathrm{NaNO}_{3}+\mathrm{AgCl}$ Balanced $\mathrm{H}_{2}+\mathrm{O}_{2} \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}$ choose... $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+\mathrm{O}_{2} \longrightarrow 6 \mathrm{CO}_{2}+6 \mathrm{H}_{2} \mathrm{O}$ choose $\ldots$ $\mathrm{CH}_{4}+\mathrm{O}_{2} \longrightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$ Choose $\ldots$
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Solution

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Solution Steps

Step 1: Analyze the First Equation

The first equation is: \[ \mathrm{Mg} + \mathrm{H}_{2}\mathrm{SO}_{4} \longrightarrow \mathrm{MgSO}_{4} + \mathrm{H}_{2} \]

  • Reactants: 1 Mg, 2 H, 1 S, 4 O
  • Products: 1 Mg, 2 H, 1 S, 4 O

Both sides have the same number of each type of atom, so the equation is balanced.

Step 2: Analyze the Second Equation

The second equation is: \[ 2 \mathrm{HCl} + \mathrm{Mg}(\mathrm{OH})_{2} \longrightarrow 2 \mathrm{H}_{2}\mathrm{O} + \mathrm{MgCl}_{2} \]

  • Reactants: 2 H, 2 Cl, 1 Mg, 2 O
  • Products: 4 H, 2 Cl, 1 Mg, 2 O

The number of hydrogen atoms is not balanced (2 on the reactant side and 4 on the product side). Therefore, the equation is not balanced.

Step 3: Analyze the Third Equation

The third equation is: \[ \mathrm{AgNO}_{3} + \mathrm{NaCl} \longrightarrow \mathrm{NaNO}_{3} + \mathrm{AgCl} \]

  • Reactants: 1 Ag, 1 Na, 1 N, 3 O, 1 Cl
  • Products: 1 Ag, 1 Na, 1 N, 3 O, 1 Cl

Both sides have the same number of each type of atom, so the equation is balanced.

Final Answer

  • The first equation is \(\boxed{\text{Balanced}}\).
  • The second equation is \(\boxed{\text{Not balanced}}\).
  • The third equation is \(\boxed{\text{Balanced}}\).
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