Roxio Discounts for Students, Teachers, and Military. Roxio software products and services have been revolutionizing how consumers and businesses use digital media. Special Pricing is now available for Students, Teachers, and US Military. Student & Teachers. US Military.
Finally, using the definition of t and Form D of the First Law [I.C.12], we can construct a Conservative Form of the First Law of Thermodynamics, tt + (tv) = 0, [Equation I.C.14] which may replace the adiabatic form of the First Law in our set of principal governing equations.
The differential equation describing first-order kinetics is given below: \[ Rate = - \dfrac{d[A]}{dt} = k[A]^1 = k[A] \label{1}\] The rate is the reaction rate (in units of molar/time) and \(k\) is the reaction rate coefficient (in units of 1/time). However, the units of \(k\) vary for non-first-order reactions. These differential equations are separable, which simplifies the solutions as demonstrated below.