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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Integrated Rate Equations

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Estimated time: 4 minutes
Maharashtra State Board: Class 12

Key Points: Integrated Rate Equations

Concept Zero Order Reaction First Order Reaction
Rate law Rate = k Rate = k[A]
Differential form \[-\frac{\mathrm{d[A]}}{[\mathrm{dt]}}=\mathrm{k}[\mathrm{A}]^{0}=\mathrm{k}\] \[-\frac{\mathrm{d[A]}}{[\mathrm{dt]}}=\mathrm{k[A]}\]
Integrated form \[\mathrm{k}=\frac{\left[\mathrm{A}\right]_{0}-\left[\mathrm{A}\right]_{t}}{\mathrm{t}}\] \[\mathrm{k=\frac{2.303}{t}\log_{10}\frac{\left[A\right]_{0}}{\left[A\right]_{t}}}\]
Unit of k mol L⁻¹ s⁻¹ s⁻¹
Half-life (t₁/₂) \[\mathrm{t}_{1/2}=\frac{[\mathrm{A}]_0}{2\mathrm{k}}\] t₁/₂ = 0.693 / k
Dependence Independent of concentration Depends on concentration

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Chemical Kinetics part 13 (Integrated rate equation) [00:12:41]
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