Mixtures Flashcards

1
Q

What types of solutions exist

A
  1. Solution formed by componenty miscible in all proportions(water+ethanol). Composition is defined through molar fractions of different component
    Xi=ni/n ; n=Σni ; Σxi=1
    2.Dilute solutions=one solvent(i=0) with solutes(i=1,2,3…) at low concentration
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2
Q

What variable is used for solvent in molar fractions

A

Xi≈1

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3
Q

Formulas for molarity

A

[i]=ni/V(solution)≅ni/V(solvent)=ni/(mass×ro)=ro×mi
mi=molality

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4
Q

Formulas for molality

A

mi=ni/Msolvent=ni/(M(0)×n(0)=Xi/M(0)
M(0)=molar mass of solvent in kg

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5
Q

Formula for molar fraction

A

Xi=ni/(n0+n1+n2..)≃ni/n0

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6
Q

What is Raoult law

A

pi=Xi×pi*

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7
Q

What is formula for Gibbs free energy for binary solutions

A

G(l)=n(1)μ(1,l)+n(2)μ(2,l)

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8
Q

If chemical potential for liquid and gas phase is equal l, what is the formula.

A

μ(i,l)=μ(i,g)=μ(i,g,)⊝+RTln(pi/p⊝)
If th3 go by Raoul law that ln(pi/p⊝) becomes ln((Xi×pi*)/p⊝)

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9
Q

What is formula for chemical potential of pure liquid

A

μ(i,l)=μ(i,g)⊝+RTln(pi/p⊝)

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10
Q

Taking into account formula for chemical potential of pure liquid, what is formula for chemical potential of liquid

A

μ(i,l)=μ(i,l)*+RTln(Xi)

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11
Q

What is Henry’s law

A

For x->0 ; pi=Xi×Ki
Ki=Henry’s constant

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12
Q

What expression is used when there exists deviations from Raoult’s law

A

Activity coeffixient yi
μ(i,l)=μ(i,l)*(T,p)+RTln(yi×xi)

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13
Q

What is generalozation of Raoult’s law taking into account activity coefficient

A

pi=pi*×Xi×yi

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14
Q

What is formula for chemical potential of the solvent

A

μ(0,l)=μ(0,l)*+RTln(X0)

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15
Q

What is standard molality

A

1mol/kg

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16
Q

What is standard state of the solute

A

Solution at standard p and with standard molality, assuming that it follows Henry’s law in these conditions

17
Q

What is chemical potential of solute

A

μ(i,sol)=μ(i,sol)⊝(T)+RTln(mi/m⊝)
And if it deviated from Henry’s law
Then yi is added to ln(yi mi/m⊝)

18
Q

How is molar fraction in gas phase calculated

A

Y=pi/ptot=ni/ntot OR Xi×pi*/ptot