1. Given that U is a function of T and V, That is U(T,V), derive the following expressionfrom first principleP]avdU = CydT +dV-Where U is the internal energy of the system, and all other variables have the usualmeaning.

First order thermodynamic equation. dU = dQ + P dV

1. Given that U is a function of T and V, That is U(T,V), derive the following expression from first principle ƏP dU = C,dT + T P]av Where U is the internal energy of the system, and all other variables have the usual meaning.

1. Given that U is a function of T and V, That is U(T,V), derive the following expression from first principle ƏP dU = C,dT + T P]av Where U is the internal energy of the system, and all other variables have the usual meaning.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 1CQ: Consider these scenarios and state whether work is done by the system on the environment (SE) or by...

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Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

Question

1. Given that U is a function of T and V, That is U(T,V), derive the following expression
from first principle
P]av
dU = CydT +
dV
-
Where U is the internal energy of the system, and all other variables have the usual
meaning.

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