C10H15NO + NaOH + C8H8O3 = C10H15N + NaHCO3 + H2 ...
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Balanced Chemical Equation
13C10H15NO + 8NaOH + C8H8O3 → 13C10H15N + 8NaHCO3 + 4H2 Reaction Info Balance Another Equation Step-by-Step Solution Practice BalancingReaction Information Disclaimer
Word Equation
Hordenine + Sodium Hydroxide + Vanillin = D-Methamphetamine + Sodium Bicarbonate + Dihydrogen
Thirteen moles of Hordenine [C10H15NO], eight moles of Sodium Hydroxide [NaOH] and one mole of Vanillin [C8H8O3] react to form thirteen moles of D-Methamphetamine [C10H15N], eight moles of Sodium Bicarbonate [NaHCO3] and four moles of Dihydrogen [H2]
Reactants
Hordenine - C10H15NO
Dimethyltyramine P-(2-Dimethylaminoethyl)Phenol N,N-Dimethyltyramine 4-[2-(Dimethylamino)Ethyl]Phenol C10H15NO Molar Mass C10H15NO Oxidation NumberSodium Hydroxide - NaOH
White Caustic Naoh Sodium Hydrate Soda Lye Lye Caustic Soda NaOH Molar Mass NaOH Oxidation NumberVanillin - C8H8O3
Vanilla Oleoresin (Vanilla Spp) Vanillin [Usan] Vanilla Oleoresin 4-Hydroxy 3-Methoxybenzaldehyde Vanillin (Natural) Oleo-Resins Vanilla-Bean Oleo-Resins Vanilla Zimco C8H8O3 Molar Mass C8H8O3 Oxidation Number
Products
D-Methamphetamine - C10H15N
Metamfetamine S-Methamphetamine Methamphetaminum Methamphetamine Metanfetamina Metamfetaminum Métamfétamine Methyl-Beta-Phenylisopropylamine C10H15N Molar Mass C10H15N Oxidation NumberSodium Bicarbonate - NaHCO3
Citrosodina Neut Bicarbonate Of Soda Sodium Hydrogen Carbonate E500 Carbonic Acid Monosodium Salt Sodium Acid Carbonate E 500 NaHCO3 Molar Mass NaHCO3 Oxidation NumberDihydrogen - H2
Molecular Hydrogen Hydrogen Molecule Hydrogen Hydrogen Gas Molecular Hydrogen Gas H₂ H2 Molar Mass H2 Bond Polarity H2 Oxidation Number
Reaction Expressions
Equilibrium Constant & Reaction Quotient Kc or Q = ( [C10H15N]13 [NaHCO3]8 [H2]4 ) / ( [C10H15NO]13 [NaOH]8 [C8H8O3] )(assuming all reactants and products are aqueous. substitutue 1 for any solids/liquids, and Psubstance for gases.) Rate of Reaction rate = -1/13 * (Δ[C10H15NO] / Δt) = -1/8 * (Δ[NaOH] / Δt) = -(Δ[C8H8O3] / Δt) = 1/13 * (Δ[C10H15N] / Δt) = 1/8 * (Δ[NaHCO3] / Δt) = 1/4 * (Δ[H2] / Δt)(assuming constant volume in a closed system and no accumulation of intermediates or side products) Calculate Reaction Stoichiometry Calculate Limiting Reagent Chemical Equation Balancer 🛠️ Balance Equation ➜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.
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Examples
- Hordenine + Sodium Hydroxide + Vanillin = D-Methamphetamine + Sodium Bicarbonate + Dihydrogen
- C10H15NO + NaOH + C8H8O3 = C10H15N + CHNaO3 + H2
- NaMnO4 + SO2 + H2O = NaSO4 + MnSO4 + H2SO3
- KAl(SO4)2 + K2S + H2O = Al(OH)3 + H2S + K2O4S
- Ba(NO2)2 + MnO2 + H2SO4 = MnSO4 + BaSO4 + HNO3 + H2O
- ZnCl2 + MgO = ZnO + MgCl2
- Al + Na2CO3 = Na + C3Al2O9
- BaCl2 + Li = ClLi + Ba
- Fe2(SO4)3 + BaSO4 = BaSO4 + Fe2(SO4)3
- PBCO3 + HNO3 = PB(NO3)2 + CO2 + H2O
- C6H4(COOC2H5)2 + H2O = C6H4(COOH)2 + C2H5OH
- NaOH + ZnO = Na2O + H2O2Zn
- C2H2 + Ag2O + NH3 = Ag2C2 + H2O + NH3
- Recently Balanced Equations
Balance C10H15NO + NaOH + C8H8O3 = C10H15N + NaHCO3 + H2 Using the Algebraic Method
To balance the equation C10H15NO + NaOH + C8H8O3 = C10H15N + NaHCO3 + H2 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.
Step 1: Label Each Compound With a Variable
Label each compound (reactant or product) in the equation with a variable to represent the unknown coefficients.
a C10H15NO + b NaOH + c C8H8O3 = d C10H15N + f NaHCO3 + g H2
Step 2: Create a System of Equations
Create an equation for each element (C, H, N, O, Na) where each term represents the number of atoms of the element in each reactant or product.
C: 10a + 0b + 8c = 10d + 1f + 0g H: 15a + 1b + 8c = 15d + 1f + 2g N: 1a + 0b + 0c = 1d + 0f + 0g O: 1a + 1b + 3c = 0d + 3f + 0g Na: 0a + 1b + 0c = 0d + 1f + 0gStep 3: Solve For All Variables
Use substitution, Gaussian elimination, or a calculator to solve for each variable.
Using Substitution or Elimination- 10a + 8c - 10d - 1f = 0
- 15a + 1b + 8c - 15d - 1f - 2g = 0
- 1a - 1d = 0
- 1a + 1b + 3c - 3f = 0
- 1b - 1f = 0
Use your graphing calculator's rref() function (or an online rref calculator) to convert the following matrix into reduced row-echelon-form:
[ 10 0 8 -10 -1 0 0] [ 15 1 8 -15 -1 -2 0] [ 1 0 0 -1 0 0 0] [ 1 1 3 0 -3 0 0] [ 0 1 0 0 -1 0 0] The resulting matrix can be used to determine the coefficients. In the case of a single solution, the last column of the matrix will contain the coefficients. Convert to RREF and Solve Step-by-StepSimplify the result to get the lowest, whole integer values.
- a = 13 (C10H15NO)
- b = 8 (NaOH)
- c = 1 (C8H8O3)
- d = 13 (C10H15N)
- f = 8 (NaHCO3)
- g = 4 (H2)
Step 4: 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.
13 C10H15NO + 8 NaOH + C8H8O3 = 13 C10H15N + 8 NaHCO3 + 4 H2Reactants | Products | ||
---|---|---|---|
C | 138 | 138 | ✔️ |
H | 211 | 211 | ✔️ |
N | 13 | 13 | ✔️ |
O | 24 | 24 | ✔️ |
Na | 8 | 8 | ✔️ |
Balance C10H15NO + NaOH + C8H8O3 = C10H15N + NaHCO3 + H2 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 end of a chemical reaction as at the beginning. To be balanced, every element in C10H15NO + NaOH + C8H8O3 = C10H15N + NaHCO3 + H2 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 to balance one element at a time until both sides are equal and the chemical equation is balanced.
Step 1: Count the number of each element on the left and right hand sides
Reactants (Left Hand Side) | Products (Right Hand Side) | ||||||||
---|---|---|---|---|---|---|---|---|---|
Reactants | Products | ||||||||
C10H15NO | NaOH | C8H8O3 | Total | C10H15N | NaHCO3 | H2 | Total | ||
C | 10 | 8 | 18 | 10 | 1 | 11 | ❌ | ||
H | 15 | 1 | 8 | 24 | 15 | 1 | 2 | 18 | ❌ |
N | 1 | 1 | 1 | 1 | ✔️ | ||||
O | 1 | 1 | 3 | 5 | 3 | 3 | ❌ | ||
Na | 1 | 1 | 1 | 1 | ✔️ |
Step 2: Multiply coefficients for compounds to balance out each element
For each element that is not equal, try to balance it by adding more of it to the side with less. Sometimes there may be multiple compounds with that element on one side, so you'll need to use your best judgement and be prepared to go back and try the other options.
- C is not balanced. Add 7 molecules of NaHCO3 to the product (right-hand) side to balance Carbon: C10H15NO + NaOH + C8H8O3 = C10H15N + 8NaHCO3 + H2
Reactants Products C 18 18 ✔️ H 24 25 ❌ N 1 1 ✔️ O 5 24 ❌ Na 1 8 ❌ - H is not balanced. Add 1 molecule of NaOH to the reactant (left-hand) side to balance Hydrogen: C10H15NO + 2NaOH + C8H8O3 = C10H15N + 8NaHCO3 + H2
Reactants Products C 18 18 ✔️ H 25 25 ✔️ N 1 1 ✔️ O 6 24 ❌ Na 2 8 ❌ - O is not balanced. Add 12 molecules of C10H15NO to the reactant (left-hand) side to balance Oxygen: 13C10H15NO + 2NaOH + C8H8O3 = C10H15N + 8NaHCO3 + H2
Reactants Products C 138 18 ❌ H 205 25 ❌ N 13 1 ❌ O 18 24 ❌ Na 2 8 ❌ - C is not balanced. Add 12 molecules of C10H15N to the product (right-hand) side to balance Carbon: 13C10H15NO + 2NaOH + C8H8O3 = 13C10H15N + 8NaHCO3 + H2
Reactants Products C 138 138 ✔️ H 205 205 ✔️ N 13 13 ✔️ O 18 24 ❌ Na 2 8 ❌ - O is not balanced. Add 6 molecules of NaOH to the reactant (left-hand) side to balance Oxygen: 13C10H15NO + 8NaOH + C8H8O3 = 13C10H15N + 8NaHCO3 + H2
Reactants Products C 138 138 ✔️ H 211 205 ❌ N 13 13 ✔️ O 24 24 ✔️ Na 8 8 ✔️ - H is not balanced. Add 3 molecules of H2 to the product (right-hand) side to balance Hydrogen: 13C10H15NO + 8NaOH + C8H8O3 = 13C10H15N + 8NaHCO3 + 4H2
Reactants Products C 138 138 ✔️ H 211 211 ✔️ N 13 13 ✔️ O 24 24 ✔️ Na 8 8 ✔️
Step 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.
13C10H15NO + 8NaOH + C8H8O3 = 13C10H15N + 8NaHCO3 + 4H2Practice Balancing
C10H15NO - + + NaOH - + + C8H8O3 - + = C10H15N - + + NaHCO3 - + + H2 - +Reactants | Products | ||
---|---|---|---|
C | 18 | 11 | ❌ |
H | 24 | 18 | ❌ |
N | 1 | 1 | ✔️ |
O | 5 | 3 | ❌ |
Na | 1 | 1 | ✔️ |
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