Shown here is a table of the vapor pressure of Vapor Pressure (kPa) benzene and toluene. Temperature (°C) Benzene Toluene 85 116.9 46.0 Estimate the heat of vaporization of benzene and of toluene at 85 °C and at 105 °C using the highest order of accuracy possible. Heat of vaporization can be calculated using the Clausius-Clapeyron 90 135.5 54.0 95 155.7 63.3 100 179.2 74.3 Relation: 105 204.2 86.0 d In P ΔΗ dT RT2

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Need asap. Solve using numerical differentiation. The table for numerical diff is already given

Shown here is a table of the vapor pressure of
Vapor Pressure (kPa)
benzene and toluene.
Temperature (°C)
Benzene
Toluene
85
116.9
46.0
Estimate the heat of vaporization of benzene and
of toluene at 85 °C and at 105 °C using the highest
order of accuracy possible. Heat of vaporization
can be calculated using the Clausius-Clapeyron
90
135.5
54.0
95
155.7
63.3
100
179.2
74.3
Relation:
105
204.2
86.0
d In P
ΔΗ
dT
RT2
Transcribed Image Text:Shown here is a table of the vapor pressure of Vapor Pressure (kPa) benzene and toluene. Temperature (°C) Benzene Toluene 85 116.9 46.0 Estimate the heat of vaporization of benzene and of toluene at 85 °C and at 105 °C using the highest order of accuracy possible. Heat of vaporization can be calculated using the Clausius-Clapeyron 90 135.5 54.0 95 155.7 63.3 100 179.2 74.3 Relation: 105 204.2 86.0 d In P ΔΗ dT RT2
Derivative Accuracy
1
3
7
-1
1
-3/2
21
-1/2
3
-11/6
3
-3/2
1/3
-25/12
4/3
-1/4
-137/60
-5
10/3
-5/4
1/5
9.
-49/20
-15/2
20/3
-15/4
6/5
-1/6
1
-2
2
2
05
4
-1
35/12
-26/3
19/2
-14/3
11/12
4
15/4
-77/6
107/6
-13
61/12
-5/6
203/45
-87/5
117/4
-254/9
33/2
-27/5
137/180
469/90
-223/10
879/20
-949/18
41
-201/10
1019/180
-7/10
-1
3.
-3
1
-5/2
9
-12
-3/2
-17/4
71/4
-59/2
49/2
-41/4
7/4
3.
-49/8
29
-461/8
62
-307/8
13
-15/8
4
-967/120
638/15
-3929/40
389/3
-2545/24
268/5
-1849/120
29/15
-801/80
349/6
-18353/120 2391/10 -1457/6
4891/30
-561/8
527/30 -469/240
6.
2.
Transcribed Image Text:Derivative Accuracy 1 3 7 -1 1 -3/2 21 -1/2 3 -11/6 3 -3/2 1/3 -25/12 4/3 -1/4 -137/60 -5 10/3 -5/4 1/5 9. -49/20 -15/2 20/3 -15/4 6/5 -1/6 1 -2 2 2 05 4 -1 35/12 -26/3 19/2 -14/3 11/12 4 15/4 -77/6 107/6 -13 61/12 -5/6 203/45 -87/5 117/4 -254/9 33/2 -27/5 137/180 469/90 -223/10 879/20 -949/18 41 -201/10 1019/180 -7/10 -1 3. -3 1 -5/2 9 -12 -3/2 -17/4 71/4 -59/2 49/2 -41/4 7/4 3. -49/8 29 -461/8 62 -307/8 13 -15/8 4 -967/120 638/15 -3929/40 389/3 -2545/24 268/5 -1849/120 29/15 -801/80 349/6 -18353/120 2391/10 -1457/6 4891/30 -561/8 527/30 -469/240 6. 2.
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