2CO_{2} + Ca(OH)_{2} → Ca(HCO_{3})_{2}

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### Word Equation

Carbon Dioxide + Calcium Hydroxide = Calcium Bicarbonate

Two moles of

and one mole of

combine lớn size one mole of

### Reaction Expressions

K_{c} or Q = ( [Ca(HCO_{3})_{2}] ) / ( [CO_{2}]^{2} [Ca(OH)_{2}] )

(assuming all reactants and products are aqueous. substitutue 1 for any solids/liquids, and Psubstance for gases.)

rate = -1/2 * (Δ[CO_{2}] / Δt) = -(Δ[Ca(OH)_{2}] / Δt) = (Δ[Ca(HCO_{3})_{2}] / Δt)

(assuming constant volume in a closed system and no accumulation of intermediates or side products)

## Instructions

To balance a chemical equation, enter an equation of a chemical reaction and press the Balance button. The balanced equation will appear above.

- Use uppercase for the first character in the element and lowercase for the second character. Examples: Fe, Au, Co, Br, C, O, N, F.
- Ionic charges are not yet supported and will be ignored.
- Replace immutable groups in compounds lớn avoid ambiguity. For example, C6H5C2H5 + O2 = C6H5OH + CO2 + H2O will not be balanced, but XC2H5 + O2 = XOH + CO2 + H2O will.
- Compound states [like (s) (aq) or (g)] are not required.
- You can use parenthesis () or brackets [].

## How To Balance Equations

Read our article on how lớn balance chemical equations or ask for help in our chat.

You can also ask for help in our chat or forums.

## Balance CO2 + Ca(OH)2 = Ca(HCO3)2 Using the Algebraic Method

To balance the equation CO2 + Ca(OH)2 = Ca(HCO3)2 using the algebraic method step-by-step, you must have experience solving systems of linear equations. The most common methods are substitution/elimination and linear algebra, but any similar method will work.

### Label Each Compound With a Variable

Label each compound (reactant or product) in the equation with a variable lớn represent the unknown coefficients.

Xem thêm: điển cố là gì

a CO

_{2}+ b Ca(OH)_{2}= c Ca(HCO_{3})_{2}### Create a System of Equations

Create an equation for each element (C, O, Ca, H) where each term represents the number of atoms of the element in each reactant or product.

**C**: 1a + 0b = 2c**O**: 2a + 2b = 6c**Ca**: 0a + 1b = 1c**H**: 0a + 2b = 2c### Solve For All Variables

Use substitution, Gaussian elimination, or a calculator lớn solve for each variable.

- 1a - 2c = 0
- 2a + 2b - 6c = 0
- 1b - 1c = 0
- 2b - 2c = 0

Use your graphing calculator's rref() function (or an online rref calculator) lớn convert the following matrix into reduced row-echelon-form:

[ 1 0 -2 0] [ 2 2 -6 0] [ 0 1 -1 0] [ 0 2 -2 0]

The resulting matrix can be used lớn determine the coefficients. In the case of a single solution, the last column of the matrix will contain the coefficients.

Simplify the result lớn get the lowest, whole integer values.

- a = 2 (CO2)
- b = 1 (Ca(OH)2)
- c = 1 (Ca(HCO3)2)

### Substitute Coefficients and Verify Result

Count the number of atoms of each element on each side of the equation and verify that all elements and electrons (if there are charges/ions) are balanced.

2 CO

_{2}+ Ca(OH)_{2}= Ca(HCO_{3})_{2}Reactants Products C 2 2 ✔️ O 6 6 ✔️ Ca 1 1 ✔️ H 2 2 ✔️ Since there is an equal number of each element in the reactants and products of 2CO2 + Ca(OH)2 = Ca(HCO3)2, the equation is balanced.

## Balance CO2 + Ca(OH)2 = Ca(HCO3)2 Using Inspection

The law of conservation of mass states that matter cannot be created or destroyed, which means there must be the same number atoms at the over of a chemical reaction as at the beginning. To be balanced, every element in CO2 + Ca(OH)2 = Ca(HCO3)2 must have the same number of atoms on each side of the equation. When using the inspection method (also known as the trial-and-error method), this principle is used lớn balance one element at a time until both sides are equal and the chemical equation is balanced.

### 1. Count the number of each element on the left and right hand sides

Reactants (Left Hand Side) | Products (Right Hand Side) | |||||
---|---|---|---|---|---|---|

Reactants | Products | |||||

CO_{2} | Ca(OH)_{2} | Total | Ca(HCO_{3})_{2} | Total | ||

C | 1 | 1 | 2 | 2 | ❌ | |

O | 2 | 2 | 4 | 6 | 6 | ❌ |

Ca | 1 | 1 | 1 | 1 | ✔️ | |

H | 2 | 2 | 2 | 2 | ✔️ |

### 2. Multiply coefficients for compounds lớn balance out each element

For each element that is not equal, try lớn balance it by adding more of it lớn the side with less. Sometimes there may be multiple compounds with that element on one side, sánh you'll need lớn use your best judgement and be prepared lớn go back and try the other options.

**C**is not balanced. Add**1**molecule of**CO**lớn the reactant (left-hand) side lớn balance Carbon:_{2}

2CO_{2}+ Ca(OH)_{2}= Ca(HCO_{3})_{2}Reactants Products C 2 2 ✔️ O 6 6 ✔️ Ca 1 1 ✔️ H 2 2 ✔️

### 3. Verify that the equation is balanced

Since there are an equal number of atoms of each element on both sides, the equation is balanced.

2CO_{2} + Ca(OH)_{2} = Ca(HCO_{3})_{2}

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