Question

Please derive from scratch! (Meaning, first and second laws for thermo or initial definitions of kinetics in terms of rate laws and rate expressions) 1. Here is a formula used to describe the separation process in gas chromatography: Inkvap + -pm-+ constant RT RT Which simplifies further for nonpolar molecules to: +constant RT RT Show how this final form is derived 2. Derive the Henderson Hasselbalch equation pH pKa+log ([base]/[acidl) First, start with a derivation of the equilibrium constant Ka and then consider a buffer where the degree of dissociation is small in either direction Derive the amphiprotic equation from mass and charge balance of a diprotic acid, again starting with the derivation of the equilibrium constants: 3.

Answer 1

1.

1st law

$W= P \Delta V$

Second law we get

combing both we get

$\Delta U = T dS - PdV$

Also

$\Delta H = T dS + V dP$

$\Delta H - T dS = \Delta G$

$-RT lnK = \Delta G$

$lnK = - \Delta H/ RT + \Delta S/R$

which is our eqn

2.

From dissociateion of acid in water we get

is the henderson hasselbach eqn