OWLv2 for Moore/Stanitski's Chemistry: The Molecular Science, 5th Edition, [Instant Access], 1 term (6 months)
OWLv2 for Moore/Stanitski's Chemistry: The Molecular Science, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781285460420
Author: John W. Moore; Conrad L. Stanitski
Publisher: Cengage Learning US
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Chapter 19, Problem 84QRT
Interpretation Introduction

Interpretation:

Sublimation enthalpy of monoclinic sulfur has to be calculated using Clausius-Clapeyron equation.

Expert Solution & Answer
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Explanation of Solution

Clausius-Clapeyron equation can be given as,

    lnP=ΔvapHRT+C(1)

Where,

    ΔvapH is molar vaporization enthalpy.

    C is the constant that is characteristic of liquid.

If there are two sets of pressure and temperature, then the Clausius-Clayperon equation can be recast as shown below,

    ln(P2P1)=ΔvapHR[1T21T1](2)

From the phase diagram, two pressure-temperature points can be estimated roughly.  The obtained pressure and temperature is given below,

    P1 = 104atm T1 = 393KP2 = 105atm T2 = 368K

Sublimation enthalpy for monoclinic sulfur can be calculated by substituting the values in equation (2).

    ln(P2P1) =ΔvapHR[1T21T1]ln(105104) =ΔvapH8.314JK1mol1[1368K1393K]ln(101) =ΔvapH8.314JK1mol1(0.00017K1)

Rearranging the above equation, the sublimation enthalpy can be calculated,

    ln(101) =ΔvapH8.314JK1mol1(0.00017K1)ΔvapH =ln(101)×8.314JK1mol1×10.00017K1 =2.302×48905.882Jmol1 =1.12×105J/mol

Sublimation enthalpy of monoclinic sulfur is 1.12×105J/mol.

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Chapter 19 Solutions

OWLv2 for Moore/Stanitski's Chemistry: The Molecular Science, 5th Edition, [Instant Access], 1 term (6 months)

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