Frosty0110idn
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Which of the following is the correctly balanced chemical equation for the reaction of [tex]Ca(OH)_2[/tex] and [tex]HNO_3[/tex]?

A. [tex]Ca(OH)_2 + HNO_3 \rightarrow Ca^{2+} + NO_3^{-}[/tex]

B. [tex]Ca(OH)_2 + 2HNO_3 \rightarrow 2H_2O + 2NO_3^{-}[/tex]

C. [tex]Ca(OH)_2 + 2HNO_3 \rightarrow H_2O + CaNO_3[/tex]

D. [tex]Ca(OH)_2 + 2HNO_3 \rightarrow 2H_2O + Ca(NO_3)_2[/tex]

Sagot :

GinnyAnsweridn
To determine which of the given options is the correctly balanced chemical equation for the reaction between [tex]\( Ca(OH)_2 \)[/tex] and [tex]\( HNO_3 \)[/tex], we need to follow these steps:

1. Identify the reactants and their products:
- Reactants: [tex]\( Ca(OH)_2 \)[/tex] (Calcium hydroxide) and [tex]\( HNO_3 \)[/tex] (Nitric acid).
- Products: Water [tex]\( H_2O \)[/tex], Calcium nitrate [tex]\( Ca(NO_3)_2 \)[/tex].

2. Determine the molecular formulas for the reactants and their respective products:
- Calcium hydroxide is [tex]\( Ca(OH)_2 \)[/tex].
- Nitric acid is [tex]\( HNO_3 \)[/tex].
- When these react, they produce water [tex]\( H_2O \)[/tex] and calcium nitrate [tex]\( Ca(NO_3)_2 \)[/tex].

3. Write the unbalanced chemical equation:
- [tex]\( Ca(OH)_2 + HNO_3 \rightarrow H_2O + Ca(NO_3)_2 \)[/tex].

4. Balance the chemical equation:
- Balance the numbers of atoms of each element on both sides of the equation.

Let's balance it step-by-step:

1. [tex]\( Ca(OH)_2 \)[/tex] has 1 calcium (Ca), 2 hydroxides (OH).
2. [tex]\( HNO_3 \)[/tex] is a source of hydrogen (H), nitrogen (N), and oxygen (O).

From the products side:
- Calcium nitrate [tex]\( Ca(NO_3)_2 \)[/tex] has 1 calcium (Ca), 2 nitrate groups [tex]\( NO_3 \)[/tex].
- Water [tex]\( H_2O \)[/tex] has 2 hydrogens and 1 oxygen.

The balanced equation should have:
- 1 calcium atom on each side.
- The same number of hydrogen, nitrogen, and oxygen atoms on both sides.

Match the number of [tex]\( NO_3 \)[/tex] groups between reactants and products, which need 2 [tex]\( HNO_3 \)[/tex] molecules:

[tex]\[ Ca(OH)_2 + 2HNO_3 \rightarrow 2H_2O + Ca(NO_3)_2 \][/tex]

This equation is balanced because:
- There is 1 Ca on both sides.
- There are 2 nitrate groups [tex]\( NO_3 \)[/tex] on both sides.
- There are 2 water molecules (each with 2H atoms and 1O atom, totaling 4H and 2O atoms, which balances the 2 hydroxide groups from [tex]\( Ca(OH)_2 \)[/tex]).

Therefore, the correct choice is:

[tex]\[ \boxed{Ca(OH)_2 + 2HNO_3 \rightarrow 2H_2O + Ca(NO_3)_2} \][/tex]

This corresponds to the fourth option: [tex]\( Ca(OH)_2 + 2HNO_3 \rightarrow 2H_2O + Ca(NO_3)_2 \)[/tex].

So, the correct answer is the 4th option.
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