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Jun 6, 2018

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Here's what I get.

Explanation:

Step 1. Calculate the TBP

The formula for TBP is

#T"*" =aT^b#

where

#T"*" =# TBP
#T color(white)(ll)= # D86 BP
#a# and #b# are the coefficients for the conversion.

I used Excel to calculate the TBP values.

Calculations

Step 2. Plot the distillation curves

Here are the Excel Plots.

Distillation curves

Step 3. Calculate the VABP

The formula for the Volume Average Boiling Point (VABP) is

#"VABP" = (T_text(10%) + T_text(30%) + T_text(50%) + T_text(70%) + T_text(90%))/5#

where the #T_i# are the D86 temperatures for volume percentages distilled.

For the D86 distillation

#"VABP" = "(76.4 + 140.6 + 205.7 + 240.3 + 265.5) °C"/5 = "185.7 °C"#

For the TBP

#"VABP" = "(56.3 + 134.0 + 208.0 + 248.4 + 278.2) °C"/5 = "185.0 °C"#

Step 4. Calculate the slopes of the distillation curves

The formula for the slope of a distillation curve is

#"Slope" = (T_text(70 %) - T_text(10 %))/60#

For the D86 distillation

#"Slope" = "(240.3 - 76.4) °C"/60 = "2.73 °C"#

For the TBP

#"Slope" = "(248.4 - 56.3) °C"/60 = "3.20 °C"#

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