ASEN3113HW5solutionsPART1

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    ASEN 3113 Thermodynamics and Heat Transfer

    Homework #5

    Assigned: October 12, 2006Due: October 18, 2006 (noon)

    (Total points noted in each section; must clearly show equations with values and units,

    drawings, assumptions, etc.)

    1. (20 oints! 15 oints for e"ations! 5 oints for correct answer$

    A cold storage room is being used to store strawberries at 1C !"e e#a$orator and condensertem$eratures are %2 and &'C, res$ecti#el !"e rerigeration load is 1' tons (1 ton o

    rerigeration load * +'1 -.) Assume t"e rerigerant is /%1+&a Determine t"e ollowing:

    (a) !"e rerigerant low rate

    (b) !"e com$ressor $ower reuirement(c) CO

    (d) !"e "eat reected in t"e condenser

    So%tion&3irst determine t"e ent"al$ies in t"e rerigerator Assume t"e luid entering t"e com$ressor is

    %2C and a saturated #a$or"1* 2&606 -45-g s1 * 07201 -45-g9

    Assume t"e tem$erature eiting t"e condenser is &'C ;oo- u$ t"e #alues or $oint + atsaturated liuid $ro$erties

    "+* 11+' -45-g + * 1160

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    2. (20 oints! 15 oints for e"ations! 5 oints for correct answer$

    3or a rerigeration sstem using / %1+&a, t"e e#a$orator tem$erature is %'C, "owe#er t"ererigerant entering t"e com$ressor is at 'C !"e condenser tem$erature is +'C, but t"e

    rerigerant entering t"e e$ansion #al#e is at +0C

    (a) ."at is t"e amount o su$er"eating and subcoolingB(b) t"e rerigeration load is + tons, calculate t"e CO or t"is sstem

    olution:(a) u$er"eating is t"e dierence in tem$erature o luid entering com$ressor and e#a$orator

    u$ercooling is t"e dierence in tem$erature o luid entering condenser and entering e$ansion

    #al#e

    ( )

    ( ) !!!TTng&upercooli

    !!!TTng&uperheati

    valveansionenteringcondenser

    evaporatorcompressorentering

    '+0+'

    10''

    Ee:$E

    E

    ==

    ==

    (b) 3irst assume t"at t"e tem$erature o t"e luid entering t"e com$ressor is a saturated #a$or at

    'C

    ;oo- u$ ent"al$ and entro$ at $oint 1 (entering com$ressor)

    "1*2'01 -45-g s1 * 0716& -45-g9

    Assume isentro$ic e$ansion in com$ressor, s1 * s2 and assume $ressure is constant t"roug" t"e

    condenser Assume t"at at t"e eit o t"e condenser, t"e luid is a saturated liuid at +'C ;oo-u$ ent"al$ and saturation $ressure at $oint +

    "+ * 788 -45-g aturation ressure F + * 088ecause t"esaturation tem$eratures o 080

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    ow linear inter$olate between 080

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    ( ) ( )

    ( )( )sm(

    '''kgkJ(

    TT!p((

    TT!p((

    hhwq

    'Tk#a

    k#a'

    #

    #TT

    5101'61,11+1500+12

    222

    61,&0+

    '2&811+1

    6

    6

    6'6

    2

    6'6

    2

    '

    2

    6'6'6'6

    6

    &011&0101

    '

    6'6

    ==

    =+

    +=

    =

    =

    =

    ro$ulsi#e eicienc (c) answer

    ( )( )

    ( )( )

    J&16

    '8+1&&0500+1

    58'058'05101'

    +&

    116

    =

    =

    ==

    p

    in

    p

    p'''kgkJ

    smsmsm

    TT!p

    (((

    q

    w

    ' (20 oints! 15 oints for e"ations! 5 oints for correct answers$

    Consider a steam $ower $lant o$erating as an ideal ran-ine ccle !"e condenser $ressure is

    8-a !"e turbine can o$erate at two $ressures, 18

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