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Write balanced equations for each of the following reactions (some of these are analogous to reactions shown in the chapter). (a) Aluminum metal reacts with acids to form hydrogen gas. (b) Steam reacts with magnesium metal to give magnesium oxide and hydrogen. (c) Manganese(IV) oxide is reduced to manganese(II) oxide by hydrogen gas. (d) Calcium hydride reacts with water to generate hydrogen gas.

Short Answer

Expert verified
The balanced equations for the given reactions are as follows: a) \(2Al(s) + 6HCl(aq) \rightarrow 2AlCl₃(aq) + 3H₂(g)\) b) \(Mg(s) + H₂O(g) \rightarrow MgO(s) + H₂(g)\) c) \(MnO₂(s) + 2H₂(g) \rightarrow MnO(s) + 2H₂O(g)\) d) \(CaH₂(s) + 2H₂O(l) \rightarrow Ca(OH)₂(aq) + 2H₂(g)\)

Step by step solution

01

Write the unbalanced equation

Al(s) + HCl(aq) -> AlCl₃(aq) + H₂(g)
02

Balance the equation

To balance the equation, we need 6 HCl molecules to produce 3 H₂ molecules so that there are 6 H atoms on both sides of the equation. So, the balanced equation will be: 2Al(s) + 6HCl(aq) -> 2AlCl₃(aq) + 3H₂(g) #b)# Steam reacts with magnesium to give magnesium oxide and hydrogen
03

Write the unbalanced equation

Mg(s) + Hâ‚‚O(g) -> MgO(s) + Hâ‚‚(g)
04

Balance the equation

To balance the equation, we simply need 1 Mg atom, 1 Hâ‚‚O molecule, 1 MgO molecule and 1 Hâ‚‚ molecule, as there are already equal numbers of Mg, O and H atoms on both sides. The balanced equation is: Mg(s) + Hâ‚‚O(g) -> MgO(s) + Hâ‚‚(g) #c)# Manganese(IV) oxide is reduced to manganese(II) oxide by hydrogen gas
05

Write the unbalanced equation

MnOâ‚‚(s) + Hâ‚‚(g) -> MnO(s) + Hâ‚‚O(g)
06

Balance the equation

To balance this equation, 2 H atoms are needed on both sides of the equation. The balanced equation is: MnOâ‚‚(s) + 2Hâ‚‚(g) -> MnO(s) + 2Hâ‚‚O(g) #d)# Calcium hydride reacts with water to generate hydrogen gas
07

Write the unbalanced equation

CaHâ‚‚(s) + Hâ‚‚O(l) -> Ca(OH)â‚‚(aq) + Hâ‚‚(g)
08

Balance the equation

In this case, we need the same number of H, Ca and O atoms on both sides of the equation: 2 Hâ‚‚O molecules provide 4 H atoms to balance the 4 H atoms from CaHâ‚‚ and Hâ‚‚. The balanced equation is: CaHâ‚‚(s) + 2Hâ‚‚O(l) -> Ca(OH)â‚‚(aq) + 2Hâ‚‚(g)

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