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First-order Rate Law Calculator

🔥 Thermochemistry & Bonding. Use the First-order rate law formula to find rate, rate constant k, [a]: pick the value you want, type the others, and the answer updates as you go.

−d[A]dt=k[A]-\dfrac{d[A]}{dt} = k[A]
Rate0.002 mol/(L·s)

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
Ratemol/(L·s)
Rate constant k1/s
[A]mol/L

Worked example

Find the rate when Rate constant k = 0.02 1/s, [A] = 0.1 mol/L.

Using -d[A]/dt = k[A]: Rate = 0.002 mol/(L·s).

Frequently asked questions

What is the formula for First-order rate law?

-d[A]/dt = k[A].

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

Rate in mol/(L·s), Rate constant k in 1/s, [A] in mol/L.

How do you calculate rate?

Put the values into -d[A]/dt = k[A]. For example, with Rate constant k = 0.02 1/s, [A] = 0.1 mol/L, rate = 0.002 mol/(L·s).

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (rate, rate constant k, [a]) and fill in the others: it rearranges the formula for you.

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