Write the balanced equation for each of the following: $$\begin{array}{l}{\text { a. the complete combustion of propane gas, }} \\\ {\mathrm{C}_{3} \mathrm{H}_{8}} \\ {\text { b. the decomposition of magnesium carbonate }} \\ {\text { c. the synthesis of platinum(IV) fluoride }} \\\ {\text { from platinum and fluorine gas }} \\ {\text { d. the reaction of zinc with lead(II) nitrate }}\end{array}$$

Short Answer

Expert verified
The balanced equations for the reactions are: \n(a) \(C_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O\)\n(b) \(MgCO_3 \rightarrow MgO + CO_2\)\n(c) \(Pt + 2F_2 \rightarrow PtF_4\)\n(d) \(Zn + Pb(NO_3)_2 \rightarrow Zn(NO_3)_2 + Pb\)

Step by step solution

01

Combustion of Propane Gas

Propane (\(C_3H_8\)) reacts with oxygen gas (\(O_2\)) on burning, producing carbon dioxide (\(CO_2\)) and water (\(H_2O\)). The initial unbalanced equation is \(C_3H_8 + O_2 \rightarrow CO_2 + H_2O\). To balance this:- There are 3 carbons on the left so put a 3 in front of \(CO_2\).- There are 8 hydrogens on the left so put a 4 in front of \(H_2O\).- Lastly, to balance the oxygens, put a 5 in front of \(O_2\). So, the balanced equation is \(C_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O\).
02

Decomposition of Magnesium Carbonate

Magnesium carbonate (\(MgCO_3\)) decomposes into magnesium oxide (\(MgO\)) and carbon dioxide (\(CO_2\)). The balanced equation is \(MgCO_3 \rightarrow MgO + CO_2\).
03

Synthesis of Platinum(IV) Fluoride

Platinum (\(Pt\)) reacts with fluorine gas (\(F_2\)) to produce platinum(IV) fluoride (\(PtF_4\)). The initial unbalanced equation is \(Pt + F_2 \rightarrow PtF_4\). To balance it, add a 2 in front of \(F_2\). Thus, the balanced equation is \(Pt + 2F_2 \rightarrow PtF_4\).
04

Reaction of Zinc with Lead(II) Nitrate

Zinc (\(Zn\)) reacts with lead(II) nitrate (\(Pb(NO_3)_2\)) to form zinc nitrate (\(Zn(NO_3)_2\)) and lead (\(Pb\)). Therefore, the balanced equation is \(Zn + Pb(NO_3)_2 \rightarrow Zn(NO_3)_2 + Pb\).

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