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Multiple Choice
Which thermodynamic property is commonly listed in tables of pure substances and represents the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius at constant pressure?
A
Gibbs free energy (G)
B
Standard enthalpy of formation (ΔH_f^ext{°})
C
Standard entropy (S^ext{°})
D
Molar heat capacity at constant pressure (C_p)
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Verified step by step guidance
1
Understand that the problem asks for a thermodynamic property that quantifies the heat required to raise the temperature of one mole of a substance by one degree Celsius at constant pressure.
Recall that the heat required to change the temperature of a substance depends on its heat capacity, which can be measured at constant volume (C_v) or constant pressure (C_p).
Identify that the property specifically related to heating at constant pressure is the molar heat capacity at constant pressure, denoted as \(C_p\), which is defined as \(C_p = \left(\frac{\partial H}{\partial T}\right)_p\), where \(H\) is enthalpy and \(T\) is temperature.
Note that other options like Gibbs free energy (\(G\)), standard enthalpy of formation (\(\Delta H_f^{\circ}\)), and standard entropy (\(S^{\circ}\)) describe different thermodynamic quantities and do not directly represent heat capacity.
Conclude that the molar heat capacity at constant pressure (\(C_p\)) is the correct thermodynamic property commonly listed in tables for pure substances to describe the heat required to raise the temperature by one degree Celsius at constant pressure.