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Clausius-Clapeyron equation
ln P1/P2= ∆Hvap/R (1/T2-1/T1)
Bragg’s law
2d sinθ=nλ
or
d=nλ/2 sinθ
Heat Equation
Q=mCΔT or nCpΔT
Molarity
M=moles solute/volume of solution in L
Mole fraction equation
X=moles of A/Total moles
Mass % equations
Mass %= (Mass A/Total Mass) x 100%
Molality Equations
m= moles of solute/mass of solvent
Raoult’s Law
Psoln = XsolvP°solv
or
∆P = Xsolute P°solv
or
Ptotal = PA + PB = XAP0A + XB P0B
Henry’s Law
c = kP
Boiling point elevation
∆Tb = iKb∆m
Freezing point depression
∆Tf = iKf∆m
Osmotic pressure
∆ = iMRT
For reaction aA + bB → cC + dD
rate= (-1/a ∆ [A]/∆ t)=(-1/b ∆ [B]/∆ t)=(1/c ∆ [C]/∆ t)=(1/d ∆ [D]/∆ t)