General Chemistry
General Chemistry
4th Edition
ISBN: 9781891389603
Author: Donald A. McQuarrie, Peter A. Rock, Ethan B. Gallogly
Publisher: University Science Books
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Chapter 23, Problem 23.1P
Interpretation Introduction

Interpretation:

ΔSfus and ΔSvap for methane, ethane and propane has to be calculated.

Concept Introduction:

Molar entropy of fusion of a substance (ΔSfus) can be determined from its molar enthalpy of fusion (ΔHfus) and melting point (in kelvin) Tm using the given formula,

  ΔSfus = ΔHfusTm

Molar entropy of vaporization of a substance (ΔSvap) can be determined from its molar enthalpy of vaporization (ΔHvap) and boiling point (in kelvin) Tb using the given formula,

  ΔSvap = ΔHvapTb

Expert Solution & Answer
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Answer to Problem 23.1P

ΔSfus and ΔSvap for methane, ethane and propane is given below,

  Compound      ΔSfus(kJ/Kmol)      ΔSvap(kJ/Kmol)CH41.03×1027.98×102C2H63.16×1028.48×102C3H84.12×1028.71×102

Explanation of Solution

Unit of temperature can be converted to Kelvin using the given conversion,

  0°C = 0°C + 273.15=273.15 K

Substitute the melting and boiling points of methane, ethane and propane as follows,

  Tm of CH4=182.5°C = 90.65 KTm of C2H6=182.8°C = 90.35 KTm of C3H8=187.6°C = 85.55 KTb of CH4=161.5°C = 111.65 KTb of C2H6=88.6°C = 184.55 KTb of C3H8=42.1°C = 231.05 K

The formula for determining ΔSfus and ΔSvap is given below,

  ΔSfus = ΔHfusTmΔSvap = ΔHvapTb

Substitute the values to calculate ΔSfus and ΔSvap for methane, ethane and propane,

Calculate ΔSfus and ΔSvap for methane:

  ΔSfus = 0.9370 kJ/mol 90.65 K= 1.03×102 kJ/KmolΔSvap = 8.907 kJ/mol111.65 K= 7.98×102 kJ/Kmol

Calculate ΔSfus and ΔSvap for ethane:

  ΔSfus = 2.859 kJ/mol90.35 K= 3.16×102 kJ/KmolΔSvap = 15.65 kJ/mol184.55 K= 8.48×102 kJ/Kmol

Calculate ΔSfus and ΔSvap for propane:

  ΔSfus = 3.525 kJ/mol85.55 K= 4.12×102 kJ/KmolΔSvap = 20.13 kJ/mol231.05 K= 8.71×102 kJ/Kmol

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Chapter 23 Solutions

General Chemistry

Ch. 23 - Prob. 23.11PCh. 23 - Prob. 23.12PCh. 23 - Prob. 23.13PCh. 23 - Prob. 23.14PCh. 23 - Prob. 23.15PCh. 23 - Prob. 23.16PCh. 23 - Prob. 23.17PCh. 23 - Prob. 23.18PCh. 23 - Prob. 23.19PCh. 23 - Prob. 23.20PCh. 23 - Prob. 23.21PCh. 23 - Prob. 23.22PCh. 23 - Prob. 23.23PCh. 23 - Prob. 23.24PCh. 23 - Prob. 23.25PCh. 23 - Prob. 23.26PCh. 23 - Prob. 23.27PCh. 23 - Prob. 23.28PCh. 23 - Prob. 23.29PCh. 23 - Prob. 23.30PCh. 23 - Prob. 23.31PCh. 23 - Prob. 23.32PCh. 23 - Prob. 23.33PCh. 23 - Prob. 23.34PCh. 23 - Prob. 23.35PCh. 23 - Prob. 23.36PCh. 23 - Prob. 23.37PCh. 23 - Prob. 23.38PCh. 23 - Prob. 23.39PCh. 23 - Prob. 23.40PCh. 23 - Prob. 23.41PCh. 23 - Prob. 23.42PCh. 23 - Prob. 23.43PCh. 23 - Prob. 23.44PCh. 23 - Prob. 23.45PCh. 23 - Prob. 23.46PCh. 23 - Prob. 23.47PCh. 23 - Prob. 23.48PCh. 23 - Prob. 23.49PCh. 23 - Prob. 23.50PCh. 23 - Prob. 23.51PCh. 23 - Prob. 23.52PCh. 23 - Prob. 23.53PCh. 23 - Prob. 23.54PCh. 23 - Prob. 23.55PCh. 23 - Prob. 23.56PCh. 23 - Prob. 23.57PCh. 23 - Prob. 23.58PCh. 23 - Prob. 23.59PCh. 23 - Prob. 23.60PCh. 23 - Prob. 23.61PCh. 23 - Prob. 23.62PCh. 23 - Prob. 23.63PCh. 23 - Prob. 23.64PCh. 23 - Prob. 23.65PCh. 23 - Prob. 23.66PCh. 23 - Prob. 23.67PCh. 23 - Prob. 23.68PCh. 23 - Prob. 23.69PCh. 23 - Prob. 23.70PCh. 23 - Prob. 23.71PCh. 23 - Prob. 23.72PCh. 23 - Prob. 23.73PCh. 23 - Prob. 23.74PCh. 23 - Prob. 23.75PCh. 23 - Prob. 23.76PCh. 23 - Prob. 23.77PCh. 23 - Prob. 23.78PCh. 23 - Prob. 23.79PCh. 23 - Prob. 23.80PCh. 23 - Prob. 23.81PCh. 23 - Prob. 23.82PCh. 23 - Prob. 23.83PCh. 23 - Prob. 23.84PCh. 23 - Prob. 23.85PCh. 23 - Prob. 23.86PCh. 23 - Prob. 23.87PCh. 23 - Prob. 23.88P
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