DR

Chemistry

Dilution Reaction Calculator

Dilute reagent A, preserve its moles, compare coefficient-normalized amounts of A and B, and calculate maximum product plus leftovers.

A solution volume after dilution (mL)-
A concentration after dilution (mol/L)-
Moles of reagent A-
Moles of reagent B-
Reaction extent available from A (mol)-
Reaction extent available from B (mol)-
Limiting reaction extent (mol)-
Maximum product amount (mol)-
Unreacted A (mol)-
Unreacted B (mol)-
Approximate final liquid volume (mL)-

Decision view

Dilution vessels and stoichiometric limiting-reagent balance

Dilution vessels and stoichiometric limiting-reagent balanceA stock aliquot is diluted without changing moles, then combines with B on coefficient-normalized reaction scales.
Exact scenario comparisonReagent B volume (mL) changes while all other entered assumptions remain constant.
Reagent B volume (mL)A solution volume after dilution (mL)A concentration after dilution (mol/L)Moles of reagent AMoles of reagent BReaction extent available from A (mol)Reaction extent available from B (mol)Limiting reaction extent (mol)Maximum product amount (mol)Unreacted A (mol)Unreacted B (mol)Approximate final liquid volume (mL)

How to use Dilution Reaction Calculator

  1. Enter molar concentrations and liquid volumes.
  2. Use balanced-reaction coefficients.
  3. Interpret product as a theoretical maximum before yield and equilibrium effects.

Calculator guide

Understanding Dilution Reaction Calculator

Dilution conserves solute moles; reaction consumes those moles according to stoichiometric coefficients. Treating concentration as amount can select the wrong limiting reagent.

Dilution preserves moles Only concentration and volume change before reaction.
Coefficients normalize Moles must be divided by stoichiometric coefficients.
Minimum controls The smaller extent determines theoretical product.

Detailed calculation process

Detailed dilution and limiting-reagent calculation

The default mixes 35 mL of 2 M A with 65 mL diluent, then reacts it with 20 mL of 1.5 M B in a 1:1 equation.

General formula: C_A,d=C_A V_A/(V_A+V_d)n_A=C_A V_A/1000n_B=C_B V_B/1000ξ_A=n_A/ν_Aξ_B=n_B/ν_Bξ=min(ξ_A,ξ_B)n_P=ξν_Pn_i,left=n_i-ξν_i Dilution uses the same A moles over a larger volume. Stoichiometric coefficients convert each reagent amount to comparable reaction extent.

What each symbol means

C,V,n molarity, solution volume, and moles
ν_A,ν_B,ν_P balanced stoichiometric coefficients
ξ reaction extent (mol of reaction)

Worked substitution with the default inputs

1. Dilute without changing moles V_A,d=35+65=100 mLC_A,d=2*35/100=0.7 Mn_A=2*35/1000=0.070 mol A moles stay constant through dilution.
2. Find available extents n_B=1.5*20/1000=0.030 molξ_A=0.070/1=0.070 molξ_B=0.030/1=0.030 mol Coefficient normalization makes reagents comparable.
3. Identify limit and reconcile ξ=min(0.070,0.030)=0.030 moln_P=0.030*1=0.030 moln_A,left=0.070-0.030=0.040 moln_B,left=0 B is limiting and A remains in excess.

The default reaction is limited by B and can form 0.030 mol product, leaving 0.040 mol A.

Worked situations

Practical examples

  • Diluting 35 mL of 2 M A with 65 mL solvent gives 0.7 M while retaining 0.07 mol A.
  • Twenty milliliters of 1.5 M B provides 0.03 mol, so B limits a 1:1 reaction.

Better inputs

Useful tips

  • Balance the reaction before entering coefficients.
  • Use actual assay-adjusted concentration when known.
  • Apply isolated yield after theoretical product moles.

Before relying on the result

Limitations and common mistakes

  • Volumes are assumed additive and concentrations ideal.
  • Reaction completion, equilibrium, kinetics, purity, temperature, density, and side reactions are omitted.
  • The calculator does not convert product moles to mass without molar mass.

Reference

Key terms

Molarity
Moles of solute per liter of solution.
Reaction extent
Coefficient-normalized amount of reaction that can occur.
Limiting reagent
Reactant providing the smaller available reaction extent.

Important note

Use a verified balanced equation, chemical compatibility controls, laboratory safety procedures, actual assay/purity, and empirical yield for real preparation or synthesis.

Frequently asked questions

Why does adding solvent not create more product?

It changes concentration but adds no reagent moles.

Can final volumes simply be added?

That is the model's approximation; real mixtures can contract or expand.

How do I find product mass?

Multiply product moles by the product molar mass after confirming formula and units.