calculate the vapour pressure of solution having 3.42 gm cane sugar in 180 gm water at 40°C and 100°C. Given that boiling point of water 100°C and heat of vapourisation is 10KCal/mole in the given temperature range
Answers
Answer:
58 mm
Explanation:
At 100
o
C, Vapour pressure of pure water (P
0
)=760mm
∵
P
S
P
0
−P
S
=
m×W
w×M
.....(i)
∴
P
S
760−P
S
=
342×180
3.42×18
∴P
S
=759.2mm
Also we have, 2.303log
P
1
P
2
=
RT
1
T
2
ΔH[T
2
−T
1
]
∵P
2
=760mm;T
2
=373K;
T
1
=313K and ΔH=10kcalmol
−1
∴ From eq. (ii), 2.303log
P
1
760
=
2×10
−3
10
×
373×313
[373−313]
∴P
1
=58.2mm at 313 K
Now at 40
o
C:
P
S
P
0
−P
S
=
m×W
m×W
P
S
58.2−P
S
=
352×180
3.42×18
∴P
S
=58.14mm
For 0.2 molal solution: P
H
2
O
0
=58.2mm at 40
o
C
∵w/m=0.2 and W=1000g;M=18
∴
P
S
58.2−P
S
=
1000
0.2×18
∴P
S
=57.99mm≈58mm
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