Here you are invited to explore the implications of the temperature dependence of the heat capacity for the enthalpy. (a) The heat capacity of a substance is often reported in the form Cp,m(T) = a + bT + c/T2. Use this expression to make a more accurate estimate of the change in molar enthalpy of carbon dioxide when it is heated from 15 °c to 37 °c, givena= 44.22 J K-1 mol-1, b = 8.79 x 10-3 J K-2 mol-1, and c = -8.62 x 105 J K mol-1. You will need to integrate dH = Cp(T)dT. (b) Use the expression from part (a) to determine how the molar enthalpy of the substance changes over that limited temperature range. Plot the molar enthalpy as afunction of temperature.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter12: Thermodynamic Processes And Thermochemistry
Section: Chapter Questions
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Here you are invited to explore the implications of the temperature dependence of the heat capacity for the enthalpy. (a) The heat capacity of a substance is often reported in the form Cp,m(T) = a + bT + c/T2. Use this expression to make a more accurate estimate of the change in molar enthalpy of carbon dioxide when it is heated from 15 °c to 37 °c, given
a= 44.22 J K-1 mol-1, b = 8.79 x 10-3 J K-2 mol-1, and c = -8.62 x 105 J K mol-1. You will need to integrate dH = Cp(T)dT. (b) Use the expression from part (a) to determine how the molar enthalpy of the substance changes over that limited temperature range. Plot the molar enthalpy as a
function of temperature.

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