Calculate ΔS for a system if 2.50 mol of water (Cp= 75.3 J/(mol K) ) is heated from 0.00 °C to 50.0 °C underConstant pressure conditionsConstant volume conditions.

For constant pressure heating ΔS = nCp ln T2T1 For constant volume heating,ΔS = nCv ln T2T1 Given…

Answered: Calculate ΔS for a system if 2.50 mol…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Calculate ΔS for a system if 2.50 mol of water (Cp= 75.3 J/(mol K) ) is heated from 0.00 °C to 50.0 °C under
1. Constant pressure conditions
2. Constant volume conditions.

Expert Solution

Introduction

For constant pressure heating
ΔS = nC_p ln $(\frac{T_{2}}{T_{1}})$

For constant volume heating,
ΔS = nC_v ln $(\frac{T_{2}}{T_{1}})$

Given that,
C_p = 75.3 J/mol K
C_p - C_v = R
substitute R = 8.314 J/mol K in the above equation
C_v = 75.3 - 8.314 = 66.986 J/mol K
n = 2.50 mol
T₁ = 0^oC = 273.15 K
T₂ = 50^oC = 50 + 273.15 = 323.15 K

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