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Van 't Hoff Equation Calculator

🔥 Thermochemistry & Bonding. Use the van 't Hoff equation formula to find k at t₂, k at t₁, δh°, temperature 1, temperature 2: pick the value you want, type the others, and the answer updates as you go.

ln⁡K2K1=ΔH∘R(1T1−1T2)\ln\dfrac{K_2}{K_1} = \dfrac{\Delta H^\circ}{R}\left(\dfrac{1}{T_1} - \dfrac{1}{T_2}\right)
K at T₂0.20115

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
K at T₂no unit
K at T₁no unit
ΔH°kJ/mol
Temperature 1K
Temperature 2K

Worked example

Find the k at t₂ when K at T₁ = 680000, ΔH° = -92.2 kJ/mol, Temperature 1 = 298 K, Temperature 2 = 500 K.

Using 2/K1 = (Δ H°)/R(1/T1 - 1/T2): K at T₂ = 0.20115.

Frequently asked questions

What is the formula for van 't Hoff equation?

2/K1 = (Δ H°)/R(1/T1 - 1/T2).

What do the letters stand for, and what units are used?

K at T₂, K at T₁, ΔH° in kJ/mol, Temperature 1 in K, Temperature 2 in K.

How do you calculate k at t₂?

Put the values into 2/K1 = (Δ H°)/R(1/T1 - 1/T2). For example, with K at T₁ = 680000, ΔH° = -92.2 kJ/mol, Temperature 1 = 298 K, Temperature 2 = 500 K, k at t₂ = 0.20115.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (k at t₂, k at t₁, δh°, temperature 1, temperature 2) and fill in the others: it rearranges the formula for you.

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