First Order Reaction Kinetics

📊 intermediate

$$[A]_t = [A]_0 e^{-kt}$$

Concentration of reactant decreases exponentially for first-order reaction.

Variables & Units

$[A]_t$

Concentration at time $t$

Unit: $\text{mol/L}$

$[A]_0$

Initial concentration

Unit: $\text{mol/L}$

$k$

Rate constant

Unit: $\text{s}^{-1}$

$t$

Time

Unit: $\text{s}$

Key Information

📐 Derived From

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

💡 Example

$[A]_0 = 1.0\,\text{M}$, $k=0.1\,\text{s}^{-1}$, after $t=10\,\text{s}$: $[A] = 1.0 e^{-1} = 0.368\,\text{M}$.

🔧 Applications

Radioactive decay, drug metabolism, chemical degradation

⚠️ Constraints

Constant temperature, no back reaction

Ready to start your journey?

Talk to an expert counsellor – absolutely free. We'll help you choose the right program.

Get In Touch

Have questions about programs? Need guidance on which course fits you? Our team responds fast.

Our counsellors help you pick the right program for your exam goal and timeline — completely free of charge.

Our Office

GRAWIO BANJARI INDUSTRIES PRIVATE LIMITED HD 463 WEWORK DLF FORUM, CYBERCITY PHASE III, DLF QE, Dlf Qe

Email Us

Call / WhatsApp

Monday – Saturday 10 AM – 6 PM Open

Sunday Closed

📍 Walk in for free counselling — no appointment needed

Your Name

Email Address

Phone Number

Your Message