Derive the vant hoff's equation
Answers
Consider a dilute solution of a volume V (in dm3) containing W grams of a substance having molecular weight M at an absolute temperature T. Then, concentration of the solution, C=n/V and No. of moles of the substance, n=W/M.
By van't Haff. Boyle's law, at a constant temperature, the osmotic pressure of a solution is directly proportional to its molar concentration or inversely proportional to the volume of the solution. Thus,
παC(when temperature is constant)
Van't Hoff Charle's law at the constant concentration the osmotic pressure of a dilute solution is directly proportional to the absolute temperature(T) i.e.
παT
παCT
v=CRT.
The equation is called van't Hoff general solution equation.
R is constant of proportionality, also called general solution constant or gas constant.
The Van 't Hoff equation relates the change in the equilibrium constant, Keq, of a chemical reaction to the change in temperature, T, given the standard enthalpy change, ΔH⊖, for the process. It was proposed by Dutch chemist Jacobus Henricus van 't Hoff in 1884 in his book Études de dynamique chimique (Studies in Dynamic Chemistry).[1] This equation is sometimes also referred to as the Vukančić–Vuković equation.[2][3][4]
The van 't Hoff equation has been widely utilized to explore the changes in state functions in a thermodynamic system. The van 't Hoff plot, which is derived from this equation, is especially effective in estimating the change in enthalpy, or total energy, and entropy, or number of accessible microstates, of a chemical reaction.