# 9.18. In a continuous-flow process, a gas is throttled to half its density. The throttling iswell described as a constant-enthalpy process. The constant-volume heat capacityof the gas is approximately (5/2)kg and its equation of state is P kgT/v - alv,where a is a positive constant. Find anterms of the initial temperature T and molar volume v1. Does the gas heat up orcool down due to throttling?expression for the final temperature T2 in

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189 views help_outlineImage Transcriptionclose9.18. In a continuous-flow process, a gas is throttled to half its density. The throttling is well described as a constant-enthalpy process. The constant-volume heat capacity of the gas is approximately (5/2)kg and its equation of state is P kgT/v - alv, where a is a positive constant. Find an terms of the initial temperature T and molar volume v1. Does the gas heat up or cool down due to throttling? expression for the final temperature T2 in fullscreen
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Step 1

Throttling process is defined as the process for which enthalpy remains constant that is no work is done and process will be in adiabatic condition

A process is considered for continuous flow process gas is throttling to half its density help_outlineImage TranscriptioncloseRelationship for constant volume heat capacity is Equation of State kвТ_а P V a possitive constant T temperature fullscreen
Step 2

enthalpy of system is written as

If H is the enthalpy of system

From equation 3 help_outlineImage TranscriptioncloseRelationshipis given as ду .-(1) (-ah от ду H (2) ду от ат ду дн H Tds+Vdp ОР as (oh=1T. +V ..4) OT V ОР chTS +V av дV T fullscreen
Step 3

From given relation

change in enthalpy ... help_outlineImage TranscriptioncloseP="B V (6) on solving equation( 6) ОР от (7) V OP kT 2a (8) (7)and (8)in equation(4) and (5) Substituting the value from он От )у as ОР (9) V =T д дт fullscreen

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