Which of the following two functions (X and Y) is/are a state function for a perfect gas? Note that the total differential of a state function is exact. The equation of state of perfect gases is pV = nRT. nR dT+ V dX= nRT dY = CydT + where Cy is the heat capacity at constant volume of the gas, and Cy = 3 nR and n = 2.0 mol in this question. Function X Function Y Both Function X and Y are state functions. O Neither X nor Y is a state function.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Which of the following two functions (X and Y) is/are a state function for a perfect gas? Note that the total differential of a state function is exact. The equation of state of
perfect gases is pV = nRT.
Cv
nR
dX=
dT +
T
nRT
dv
dY = CydT +
V
where Cy is the heat capacity at constant volume of the gas, and Cy = 3 nR and n = 2.0 mol in this question.
%3D
Function X
Function Y
Both Function X and Y are state functions.
Neither X nor Y is a state function.
Transcribed Image Text:Which of the following two functions (X and Y) is/are a state function for a perfect gas? Note that the total differential of a state function is exact. The equation of state of perfect gases is pV = nRT. Cv nR dX= dT + T nRT dv dY = CydT + V where Cy is the heat capacity at constant volume of the gas, and Cy = 3 nR and n = 2.0 mol in this question. %3D Function X Function Y Both Function X and Y are state functions. Neither X nor Y is a state function.
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