1-Thermo

download 1-Thermo

of 7

Transcript of 1-Thermo

  • 8/9/2019 1-Thermo

    1/7

    COCOHALec

    RE

    TH

    TH

    RSE CORSE TITD-OUT Nure Hour

    ERENCE

    RMODYN

    Is the

    Is bas

    many

    Does

    states

    Basic

    1.

    2.

    Mech

    RMODYN

    Syste

    or ima

    syste

    Surro

    Types

    1.

    2.

    3.

    Phas

    syste

    1.

    2.

    E :E :

    O. 1 :s :

    :

    AMICS

    study of in

    ed on the

    molecules

    not consid

    of a syste

    forms of e

    KINETI

    POTEN

    anical Eq

    M

    ElTh

    AMIC SY

    m is defin

    ginary, for

    undings i

    of Syste

    Open s

    Closed

    energy

    Isolate

    possible

    is define

    Homog

    Heterog

    CHPPHYFIRS1.50FundMaro

    terrelation

    behaviour

    er the tim

    m

    nergy exis

    ENERG

    Possesse

    body as a

    IAL ENE

    Possesse

    body and

    ivalent o

    chanical

    ctrical Enermal Ene

    TEM

    d as any

    purposes

    s the porti

    :

    stems ,

    System ,

    systems

    as a ho

    neous sy

    eneous sy

    Y2 34PICAL CH LAW OFours

    amentalsand Lan

    between

    of macros

    element i

    ting in Na

    d by a sys

    whole

    RGY

    d by a sys

    its configu

    f Heat is t

    nergy

    rgyrgy

    portion of

    of study o

    n of the u

    Figu

    hich can e

    here no t

    , where n

    ogeneou

    tem conta

    stem cont

    MISTRYTHERM

    of Physico

    various for

    copic syst

    in transfor

    ure:

    em by virt

    em by virt

    ration with

    e relation

    the univer

    f the effec

    niverse ex

    e 1. Syste

    xchange

    ansfer of

    exchang

    , physicall

    ins only o

    ains more

    2DYNAMI

    al Chemi

    ms of ene

    ems or tho

    ations b

    ue of its

    ue of its p

    respect t

    of the uni

    cgs

    JC

    e isolated

    t of variou

    cluded fro

    m and Su

    oth matte

    atter to o

    of matter

    y distinct,

    e phase

    than a sin

    S

    try

    rgy in a sy

    se of com

    t intereste

    otion, be i

    sition, or

    other bo

    of mecha

    Unitsrg

    ulelorie

    in an iner

    s variable

    m the syst

    rounding

    r and ener

    r from the

    and ener

    and mech

    gle phase

    stem

    paratively

    d only in t

    t molecula

    by virtue o

    ies

    nical work

    t containe

    upon the

    em

    gy with its

    surroundi

    y with its

    anically se

    large and

    he initial a

    r or motio

    f the struc

    to the the

    which m

    contents

    surroundi

    ngs is pos

    surroundi

    parable p

    involving

    nd final

    of the

    ture of the

    rmal units

    y be real

    f the

    gs

    sible, only

    gs is

    rtion of a

  • 8/9/2019 1-Thermo

    2/7

    FIR

    Phase

    1.

    2.

    Types

    1.

    2.

    Princi

    by rep

    T LAW

    First l

    neith

    For a

    appea

    The in

    E re

    repre

    Ther

    chang

    view :

    That i

    use:

    E de

    the ch

    Work

    is:

    Since

    s present

    Pure su

    Solution

    of Proper

    Extensi

    Intensiv

    ple of Re

    roducing t

    F THERM

    w of Ther

    r be crea

    y quantity

    r in total q

    ternal ene

    resents t

    ents work

    odynamic

    e; and a s

    , in this c

    E = q + w

    pends onl

    ange is a

    is defined

    P = F/A, o

    in a syste

    bstance

    An eleme

    constituen

    sTrue Solu

    substance

    May eithe

    ties of a S

    e Propert

    Magnitud

    Includes

    e Property

    Value is ithe subst

    Includes d

    roducibil

    he values

    ODYNAM

    modynami

    ted nor d

    of a form

    uantity ex

    rgy of a s

    e change

    quantities

    ign, indica

    where the

    the negati

    nvention

    in the ini

    complishe

    as a force

    r F = P x

    may co

    t or comp

    ts

    ion is defi

    s

    r be gas, li

    stem:

    depends

    ass, volu

    dependennce or su

    ensity, pr

    lity of Sta

    of the vari

    ICS

    ics is mer

    stroyed

    of energy

    ctly equal

    stem can

    in the inte

    always c

    ting the di

    positive

    ive sign i

    he signs

    ial and fin

    d

    applied o

    Wo

    dw

    , then

    dw

    nsist of:

    ound whic

    ned as a p

    quid or sol

    on the am

    e and en

    t of the totstances i

    ssure, ref

    tes sugge

    ables

    ly the law

    that disap

    l to the am

    be chang

    rnal energ

    nsist of t

    ection of t

    ign indic

    dicates th

    f both q a

    al states o

    er a given

    k = For

    = F x

    = p x

    h contains

    hysically

    lid and ma

    ount of su

    ergy

    al amount a syste

    active ind

    ts that th

    of conser

    ears, ano

    ount that

    d by a flo

    y of the sy

    o parts: a

    he flow. T

    tes that th

    at the syst

    nd w refle

    f the syste

    distance,

    e x distan

    h

    x dh

    a fixed a

    omogene

    y vary in c

    bstance p

    , but depe

    ex, mass

    State of

    ation of e

    ther or oth

    isappear

    of work,

    stem, q re

    number,

    e sign re

    e system

    ems ener

    t what ha

    m, and no

    if the pist

    ce

    d definite

    us mixtur

    ompositio

    esent

    nds on the

    nd volum

    system c

    nergy, tha

    er forms o

    d.

    heat or bo

    presents

    iving the

    flects the

    energy i

    gy is decr

    pens to t

    t at all on

    n moves

    ratio amo

    e of two o

    within wi

    concentr

    e per mole

    an be rep

    is, energ

    f energy

    th:

    eat, and

    agnitude

    systems

    increasin

    asing

    e system;

    he mann

    distance

    g its

    more

    de limits

    tion of

    oduced

    can

    ill have to

    of the

    point of

    g

    thus we

    r in which

    h, work

  • 8/9/2019 1-Thermo

    3/7

    Since

    And:

    Differ

    1.

    2.

    3.

    4.

    IMPO

    1.

    2.

    3.

    4.

    5.

    volume of

    nt thermo

    Consta

    Opposi

    Opposi

    Opposi

    V for th

    can be

    curve.

    TANT!

    The pre

    but the

    If V2 > V

    surroun

    If V2 < V

    on the g

    Magnitu

    not a st

    Since

    process

    the cylind

    Fi

    dynamic c

    t Volum

    ng Press

    ng pressu

    ng Press

    work equ

    erformed

    ssure whi

    ressure a

    1, the pro

    ing

    1, the pro

    as

    de of wor

    te functio

    E is fixed,

    er equals

    dV

    dw

    ure 2. Pr

    onditions:

    , where d

    E

    re Zero o

    E

    re consta

    dw

    w

    re Variab

    ation to b

    graphicall

    h determi

    gainst whi

    ess is exp

    ess is exp

    depends

    q must va

    he area o

    = final

    = A x

    = p x

    = p d

    ssure V

    = 0, dw

    = q

    r Free Ex

    = q

    nt :

    = p d

    = p (V

    le , when p

    integrate

    by plottin

    es the a

    ch the gas

    ansion, w

    ansion, w

    on the ma

    ry with w,

    the pisto

    volume

    dh

    x dh

    olume or

    0, hence

    ansion ,

    2 V 1)

    is variabl

    d. If no an

    g p vs. V

    ount of w

    is workin

    is negativ

    is positive

    nner in wh

    nd thus d

    times the

    initial volu

    echanica

    :

    here p =

    , then p

    lytic func

    nd deter

    rk done i

    , and wor

    , and wor

    ich work i

    ependent

    height of

    me

    l Work

    0, dw = 0

    ust be kn

    ion is avai

    ining the

    not the p

    k is done

    is done b

    performe

    upon the

    the cylind

    nd hence

    own as a f

    lable, the

    area unde

    ressure of

    y the gas

    y the surr

    d, and, he

    ath follow

    r:

    :

    unction of

    integration

    r the

    the gas

    on its

    unding

    nce, w is

    ed by the

  • 8/9/2019 1-Thermo

    4/7

    RE

    EN

    ERSIBILI

    Rever

    infinit

    oppos

    Rever

    irreve

    The w

    and th

    The

    Under

    the pr

    If the

    work t

    HALPY

    Entha

    where

    of the

    Since

    functi

    consi

    volum

    Since

    Since

    Henc

    At co

    is equ

    the flo

    heat

    const

    TY AND

    sible Proc

    simally gr

    ing force

    sible proc

    sible in n

    ork obtain

    at this wo

    maximu

    reversibl

    essure of t

    riving pre

    han PdV

    F THE S

    lpy or hea

    E is the i

    system

    internal

    n

    er a proc

    e work (w

    H = E + P

    P is const

    :

    stant pre

    al to the e

    w of heat

    f reactio

    nt pressu

    AXIMUM

    ess is any

    eater than

    y an infini

    ss are im

    ture

    able from

    k is the m

    work is

    condition

    he gas its

    M

    ssure is m

    ill be req

    STEM

    content o

    ternal en

    nergy, pr

    ess carrie

    = P V). U

    V:

    ant:

    sure (whe

    nergy flo

    is a meas

    and ch

    re.

    WORK

    process

    the oppo

    tesimal a

    possible i

    a given pr

    inimum re

    btainabl

    s, the exte

    lf, P, hen

    aximum

    ade great

    ired to ac

    f the syste

    rgy of the

    essure, a

    d out at c

    nder thes

    re only P

    as heat.

    re of the

    nge in e

    hich is co

    ing force,

    ount

    nature, a

    cess und

    quired to r

    from a s

    rev

    rnal press

    ce:

    ork (w m)

    r the P +

    omplish t

    m is defin

    system, P

    d volume

    onstant pr

    condition

    work is a

    This mea

    change in

    nthalpy ar

    ducted th

    and which

    d hence

    r reversib

    verse the

    stem wh

    rsible.

    ure p diffe

    = P dV

    dP, the pr

    e compre

    d as:

    is the pre

    are all s

    essure, w

    s the expr

    llowed) th

    s that for

    enthalpy f

    e used i

    at at ever

    can be re

    ll naturall

    le conditio

    process:

    en any ch

    rs only by

    cess bec

    ssion.

    ssure of th

    tate functi

    here the

    ession:

    e change

    a reactio

    or the sys

    terchang

    stage the

    versed by

    occurrin

    ns is the

    ange taki

    an infinite

    me irreve

    e system,

    ions, enth

    nly work

    = q P + w,

    in enthalp

    studied

    em. For t

    ably for

    driving fo

    increasin

    processe

    aximum

    ng place i

    imal amo

    rsible and

    and V is t

    alpy is al

    allowed is

    becomes

    ( H) of t

    t constan

    is reason,

    eactions

    rce is only

    the

    s are

    ossible,

    s entirely

    unt from

    more

    he volume

    o a state

    pressure-

    :

    he syste

    pressure,

    , the term

    studied a

    ,

  • 8/9/2019 1-Thermo

    5/7

    TH

    Hea

    Hea

    RMODYN

    For a

    where

    tempe

    its te

    T is:

    Molar

    1 mol

    ting a Ga

    when

    C v is t

    When

    be no

    increa

    ting a Ga

    when

    C P is t

    When

    Thus,transl

    AMICS O

    Ideal Ga

    (KE) avg r

    rature T (i

    perature.

    Heat Cap

    of that s

    at Cons

    volume is

    he rate of

    an ideal

    PV work

    se the tra

    at Cons

    pressure i

    he rate of

    an ideal

    when a gtional en

    F IDEAL

    : PV = nR

    presents

    n kelvins).

    The ener

    acity of a

    bstance b

    ant Volu

    held const

    change of

    as is heat

    V = 0).

    slational

    ant Pres

    s held con

    change of

    gas is he

    as is heatergy of

    ASES

    T, and:

    he avera

    The only

    y (heat)

    substanc

    y 1 K.

    C

    dq

    C

    e:

    ant, dV =

    CV

    the intern

    ed in a rig

    nder the

    nergies o

    ure:

    stant, p =

    CP

    CP

    the enthal

    ted at co

    ed at conhe gas

    e, rando

    way to ch

    required

    is define

    = dq /

    = dE

    = dE

    0:

    =( E

    l energy

    id contain

    e conditio

    f the gas

    P:

    =( E

    =( H

    lpy with te

    nstant pre

    tant presand to p

    , translati

    nge the ki

    o change

    as the en

    dT

    p dV

    p dV

    T

    / T)V

    ith tempe

    er in whic

    ns all the

    olecules

    / T)P + P

    / T)P

    perature

    ssure, its

    ure, ener ovide th

    onal ener

    netic ener

    the energ

    ergy requ

    rature at c

    no chan

    energy th

    ( V / T)

    at consta

    volume in

    gy must b work t

    y for 1 m

    gy of an i

    y of 1 mol

    ired to rais

    onstant v

    e in volu

    t flows in

    \

    t pressur

    creases a

    e suppliede gas d

    le of gas

    eal gas is

    e of an id

    e the tem

    lume

    e occurs,

    o the gas

    nd PV wo

    both to c

    oes as i

    at a given

    to change

    eal gas b

    erature o

    , there can

    is used to

    rk occurs.

    hange the expand

    .

  • 8/9/2019 1-Thermo

    6/7

    Hea

    The q

    ting a Pol

    Mona

    gases

    that a

    As a

    vibrati Temp

    the g

    transl

    vibrati

    Note

    nonid

    Rathe

    proce

    Thus,

    Note

    expec

    availa

    uantity of

    yatomic

    omic real

    such as

    e significa

    olyatomic

    onal motioerature of

    s. Thus,

    tional en

    onal and r

    hat the el

    al behavi

    r, it is sim

    ses other

    if a given

    lso that a

    ted becau

    ble to abs

    ork done

    as:

    gases, su

    O 2 and

    ntly great

    gas is he

    ns as wella monato

    when a g

    rgies of t

    otational e

    levated va

    or. That i

    ly that th

    than tran

    polyatomi

    the mole

    se the pr

    rb energy

    THE

    as the ga

    h as heliu

    HCl3 that

    r than 3/2

    ated, the

    as to moic ideal g

    as is hea

    he molec

    nergies d

    lue of Cv

    s, it does

    internal

    lational m

    gas obey

    cules bec

    sence of

    RMMOD

    expands

    m, have

    contain p

    R.

    as molec

    e throughas is an i

    ted, the t

    les incre

    es not co

    for a gas

    not depe

    tructure o

    otions.

    s ideal ga

    me more

    more ato

    NAMIC P

    by V is

    easured

    olyatomic

    ules absor

    space (tradex of th

    mperatur

    se. Any

    tribute dir

    whose p

    d on wh

    f the mole

    law, the

    complex (

    s means

    OPERTI

    V

    alues of

    molecule

    b energy

    nslate) ataverage

    e only inc

    nergy tha

    ectly to th

    articles ar

    ther the

    cules ena

    quation b

    more ato

    that mor

    S OF ID

    v very clo

    have ob

    o increas

    higher sprandom tr

    reases to

    t is abso

    translati

    e molecul

    gas obey

    les them

    elow can

    s), Cv inc

    nontran

    AL GAS

    e to 3/2 R.

    erved val

    their rot

    edsnslational

    the exte

    bed to in

    nal kineti

    es is not

    the idea

    to absorb

    e used:

    reases. Th

    lational m

    . However,

    ues for C

    tional and

    l energy o

    t that the

    rease the

    energy

    caused b

    l gas law.

    energy fo

    is result i

    otions are

    ,

    .

  • 8/9/2019 1-Thermo

    7/7

    For calculation of the heat flow for an ideal gas:

    q = nC T

    where C V or C P is used depending on the conditions

    For a temperature change of ideal gas regardless of whether pressure or volume (or neither) is

    constant: H = n C P T

    E = n C V T

    Heat flow at constant volume equals E; ( E = q V)

    Heat flow at constant pressure equals H; ( H = q P)

    CARNOT CYCLE

    Observations from Carnot Process:

    1. Absorption of heat takes place at the higher temperature

    2. Heat passes from higher to lower temperature

    3. Thermodynamic efficiency must be the same for all processes operating under a given

    temperature