Math Problem Statement

If Co=0.2, ke=0.14 hr 1, k=2.010^6 and [C] at t=0 is 1.510*6, What will be the [C] at t=4 hr. Assume d[C]/dt=-kC and C follows a first order clearance Give the correct answer only

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differential Equations
Exponential Decay
First-Order Kinetics

Formulas

d[C]/dt = -kC
C(t) = C₀ * e^(-kt)

Theorems

First-Order Decay Process
Exponential Decay Law

Suitable Grade Level

Undergraduate Level (College Chemistry/Biochemistry or Applied Mathematics)