Reaction Quotient (Q) Calculator
Compute the reaction quotient Q from species amounts and stoichiometric coefficients for either Qc (using concentrations) or Qp (using partial pressures). See steps, a mini bar chart of contributions, and a log-scale Q vs K gauge to predict the shift direction.
Background
For a reaction aA + bB ⇌ cC + dD, the reaction quotient is Q = (aCc · aDd) / (aAa · aBb), where ai denotes activity (approximated by concentration for Qc, or by partial pressure for Qp). Compare with K at the same temperature: if Q < K the reaction shifts forward; if Q > K it shifts backward; if Q ≈ K it is at equilibrium.
How this calculator works
- Choose Qc to use concentrations (mol·L⁻¹) or Qp to use partial pressures (atm).
- For each species, set role (reactant/product), the coefficient (its stoichiometric exponent), and its measured amount. Uncheck a row to omit it.
- Q is computed as product of (amount)coeff for products divided by product of (amount)coeff for reactants.
- Optionally enter K to see whether the system tends to shift forward (Q < K) or backward (Q > K).
Example Problems & Step-by-Step Solutions
Example 1 — N₂ + 3H₂ ⇌ 2NH₃ (Qc)
Given [N₂] = 0.20 M, [H₂] = 0.60 M, [NH₃] = 0.10 M.
Qc = [NH₃]2 / ( [N₂] · [H₂]3 )
= (0.10)2 / (0.20 · 0.603) ≈ 0.694.
If K = 0.50 at this temperature, then Q > K → shifts left (toward reactants).
Example 2 — A ⇌ B (Qc)
Reaction: A ⇌ B (1:1).
Given [A] = 0.10 M, [B] = 0.01 M.
Qc = [B] / [A] = 0.01 / 0.10 = 0.10.
If K = 1.0, then Q < K → reaction proceeds forward (toward B).
Example 3 — 2SO₂(g) + O₂(g) ⇌ 2SO₃(g) (Qp)
Given PSO₂ = 0.30 atm, PO₂ = 0.20 atm, PSO₃ = 0.10 atm.
Qp = (PSO₃)2 / ( (PSO₂)2 · PO₂ )
= (0.10)2 / (0.30)2 · 0.20 ≈ 0.556.
If Kp = 2.5, then Q < K → shifts forward (toward SO₃).
Frequently Asked Questions
Q: What’s the difference between Q and K?
Q uses current amounts; K is the constant at a given temperature. Compare Q to K to predict the shift.
Q: Should I include pure solids or liquids?
Generally no; their activities are ≈1 and omitted from Q and K.
Q: Do the units of Q matter?
Q is often treated as dimensionless when using activities. Here we approximate with concentrations (Qc) or partial pressures (Qp) for convenience.