Questions: Balance each equation. (Use the lowest possible whole number coefficients. Omit states-of-matter from your answers.) (a) Mg(OH)2 + HCl -> MgCl2 + H2O + -> + (b) Ca(NO3)2 + H2S -> CaS + HNO3 + -> + (c) CH4 + O2 -> CO2 + H2O + -> + (d) CaCO3 + HCl -> CaCl2 + CO2 + H2O + -> + +

Balance each equation. (Use the lowest possible whole number coefficients. Omit states-of-matter from your answers.)
(a) Mg(OH)2 + HCl -> MgCl2 + H2O
+  ->  + 
(b) Ca(NO3)2 + H2S -> CaS + HNO3
+  -> 
+
(c) CH4 + O2 -> CO2 + H2O
+  ->  + 
(d) CaCO3 + HCl -> CaCl2 + CO2 + H2O
+  ->  +  +
Transcript text: Balance each equation. (Use the lowest possible whole number coefficients. Omit states-of-matter from your answers.) (a) $\mathrm{Mg}(\mathrm{OH})_{2}+\mathrm{HCl} \rightarrow \mathrm{MgCl}_{2}+\mathrm{H}_{2} \mathrm{O}$ $\square$ $+$ $\square$ $\rightarrow$ $\square$ $+$ $\square$ (b) $\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}+\mathrm{H}_{2} \mathrm{~S} \rightarrow \mathrm{CaS}+\mathrm{HNO}_{3}$ $\square$ $+$ $\square$ $\rightarrow$ $\square$ \[ + \] $\square$ (c) $\mathrm{CH}_{4}+\mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$ $\square$ $+$ $\square$ $\rightarrow$ $\square$ $+$ $\square$ (d) $\mathrm{CaCO}_{3}+\mathrm{HCl} \rightarrow \mathrm{CaCl}_{2}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$ $\square$ $+$ $\square$ $\rightarrow$ $\square$ $+$ $\square$ $+$ $\square$
failed

Solution

failed
failed

Solution Steps

Step 1: Balance Equation (a)
  1. Identify the number of each type of atom on both sides of the equation.
  2. Balance the magnesium (Mg) atoms: 1 Mg on both sides.
  3. Balance the chlorine (Cl) atoms: 2 Cl in \(\text{MgCl}_2\), so use 2 \(\text{HCl}\).
  4. Balance the hydrogen (H) atoms: 2 H in \(\text{H}_2\text{O}\) and 2 H in 2 \(\text{HCl}\).
  5. Balance the oxygen (O) atoms: 2 O in \(\text{Mg(OH)}_2\) and 1 O in \(\text{H}_2\text{O}\).

Balanced equation: \[ \text{Mg(OH)}_2 + 2 \text{HCl} \rightarrow \text{MgCl}_2 + 2 \text{H}_2\text{O} \]

Step 2: Balance Equation (b)
  1. Identify the number of each type of atom on both sides of the equation.
  2. Balance the calcium (Ca) atoms: 1 Ca on both sides.
  3. Balance the sulfur (S) atoms: 1 S on both sides.
  4. Balance the nitrogen (N) atoms: 2 N in \(\text{Ca(NO}_3)_2\), so use 2 \(\text{HNO}_3\).
  5. Balance the hydrogen (H) atoms: 2 H in \(\text{H}_2\text{S}\) and 2 H in 2 \(\text{HNO}_3\).
  6. Balance the oxygen (O) atoms: 6 O in \(\text{Ca(NO}_3)_2\) and 6 O in 2 \(\text{HNO}_3\).

Balanced equation: \[ \text{Ca(NO}_3)_2 + \text{H}_2\text{S} \rightarrow \text{CaS} + 2 \text{HNO}_3 \]

Step 3: Balance Equation (c)
  1. Identify the number of each type of atom on both sides of the equation.
  2. Balance the carbon (C) atoms: 1 C on both sides.
  3. Balance the hydrogen (H) atoms: 4 H in \(\text{CH}_4\), so use 2 \(\text{H}_2\text{O}\).
  4. Balance the oxygen (O) atoms: 2 O in \(\text{CO}_2\) and 2 O in 2 \(\text{H}_2\text{O}\), so use 2 \(\text{O}_2\).

Balanced equation: \[ \text{CH}_4 + 2 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2\text{O} \]

Final Answer

(a) \( \boxed{1 \text{Mg(OH)}_2 + 2 \text{HCl} \rightarrow 1 \text{MgCl}_2 + 2 \text{H}_2\text{O}} \)

(b) \( \boxed{1 \text{Ca(NO}_3)_2 + 1 \text{H}_2\text{S} \rightarrow 1 \text{CaS} + 2 \text{HNO}_3} \)

(c) \( \boxed{1 \text{CH}_4 + 2 \text{O}_2 \rightarrow 1 \text{CO}_2 + 2 \text{H}_2\text{O}} \)

(d) \( \boxed{1 \text{CaCO}_3 + 2 \text{HCl} \rightarrow 1 \text{CaCl}_2 + 1 \text{CO}_2 + 1 \text{H}_2\text{O}} \)

Was this solution helpful?
failed
Unhelpful
failed
Helpful