Derive the mathematical expression between molar mass of a
nonvolatile solute and elevation of boiling point.
State Henry’s law? How does solubility of a gas in water varies with?
temperature.
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Answer:
We know the formula of molality as,
molality, m=
mass of solvent in kg
moles of solute
molality, m=
W
1
/1000
W
2
/M
2
=
M
2
W
1
1000W
2
--- 1
where W
2
= weight of solute
M
2
= molar mass of solute
W
1
= weight of solvent
Also, we have relation, ΔT
b
=i×k
b
×m ---- 2
From Eqn. 1 and 2 we get
ΔT
b
=
M
2
×W
1
i×k
b
×1000×W
2
So, M
2
=
ΔT
b
×W
1
i×k
b
×1000×W
2
Vant Hoff-Avogadro’s law:
Vant Hoff Avogadro's law states that an equal volume of all gases, at the same temperature and pressure, have the same number of molecules.
Mathematically it is expressed as,
V∝n
volume ∝ no. of molecules/amount of substance(moles).
"or"
n
1
V
1
=
n
2
V
2
: From gas law.
V
1
n
2
=V
2
n
1
.
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