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In this problem we will consider compression of a liquid sample. For practical purposes liquids can be considered incompressible. (a) Evaluate AG when pressure acting on 100 mm³ of mercury is increased by 1000 bar at constant T. (b) To evaluate q for this process we will need to use Maxwell relations. Starting from the differential of S in terms of differentials of T and p show that TdS = CpdT - aTVdp. Hence, show that the energy transferred as heat when the pressure on an incompressible liquid or solid is increased by Ap at constant T is equal to -aTVAp. Evaluate q for the compression process in (a) at T = 273 K (a = 273 K (a = 1.82 × 10−4 K−¹).

In this problem we will consider compression of a liquid sample. For practical purposes liquids can be considered incompressible. (a) Evaluate AG when pressure acting on 100 mm³ of mercury is increased by 1000 bar at constant T. (b) To evaluate q for this process we will need to use Maxwell relations. Starting from the differential of S in terms of differentials of T and p show that TdS = CpdT - aTVdp. Hence, show that the energy transferred as heat when the pressure on an incompressible liquid or solid is increased by Ap at constant T is equal to -aTVAp. Evaluate q for the compression process in (a) at T = 273 K (a = 273 K (a = 1.82 × 10−4 K−¹).

Introduction to Chemical Engineering Thermodynamics
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
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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In this problem we will consider compression of a liquid sample. For practical purposes liquids can be considered incompressible. (a) Evaluate AG when pressure acting on 100 mm³ of mercury is increased by 1000 bar at constant T. (b) To evaluate q for this process we will need to use Maxwell relations. Starting from the differential of S in terms of differentials of T and p show that TdS = CpdT - aTVdp. Hence, show that the energy transferred as heat when the pressure on an incompressible liquid or solid is increased by Ap at constant T is equal to -aTVAp. Evaluate q for the compression process in (a) at T = 273 K (a = 273 K (a = 1.82 × 10−4 K−¹).
Transcribed Image Text:In this problem we will consider compression of a liquid sample. For practical purposes liquids can be considered incompressible. (a) Evaluate AG when pressure acting on 100 mm³ of mercury is increased by 1000 bar at constant T. (b) To evaluate q for this process we will need to use Maxwell relations. Starting from the differential of S in terms of differentials of T and p show that TdS = CpdT - aTVdp. Hence, show that the energy transferred as heat when the pressure on an incompressible liquid or solid is increased by Ap at constant T is equal to -aTVAp. Evaluate q for the compression process in (a) at T = 273 K (a = 273 K (a = 1.82 × 10−4 K−¹).
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