7-v - v
Ll " - vro.o.- nRo,T
I
- a .L T 4r)- 4r,).[r* a(r-q)] + - y.^r v@=+ ideal Gas,
v konst
R,,,:tf.3I J(mol K) ,,universelle
(Van der Waals Gleichung) L t, Gleichver.satz
( nqolare)Gaskonstante" 2
k = R^ l N ., = 1,3 8. 1o- 23J / K
lVlaxwell Bolfzmannsche (ieschlvind igkeitsver)[',
R, = R,,,lM .,spczielle ffiitt',
.f(r\dr,=.F (+\t.r,'..+ lU'r) uu
dividuelle) Gaskonstante"
dQ+ dw - dQ- Pdv ' \kr )
C^ p= C^v + \ .!{,;
Enthalpie:H -U + p*V, dH : dU + pdv +Vdp
=cn,=[f ]')", _t+Z
'
c,v f .-1
L ^= -
cc
t*,, nm
Q=-
T2 ""'7,
PrVr- Ptl': + -,P z PtIt - Pztr"z --L', PrV,- PzVz T,=7, + Pz -V'
Vt= . f), = r), +
Tt T2 Tt Pr 7.7- r U L
Tt Vl Tt Tz
tl t1
AVz
Wr, = 0 isochore 7
t",
W,t
.L
= - [ pdV * (V,- trrr).p, w,z=-'I pVlaY=,!R^TL
-U t = Qtz
Jt
I'l ri A "E)
\r:/
- c , ' ( 4 * Tl U ,-U t= W ,r* Qr= i sobar i sotherm
IJ, -U , = W rrt Q,r= A
- n - c , , r .( 4- 4 ) . c,,r -LR,,
Qn = n.Cr,,,.(7,
- T,), Cu,,,=
(+* l)A,,
Q.tz= -Wrt ---,R,,,4.t{
= ffi'ct 'V, -Tr) H
erpr Dieselprozess t
ptVr*= prVl
adiabat I
4 th,tt
,
^ I
I-
g*-l 'e=H
co,r^**=co,r' .
v -K
v -l
TrVr*' = TzVi T3 -72+ K(4 -rr) K .6" -' g - I
polytrop Carnot, Stirling Leistungszahl :
T,*pi * -Tl It Kbei LuFl.4
ZESS Joule-Prozess
v3
'th ,o =1 -+
- , 9 = v2 ,-! lt n , =
r l- a 2' 73
-Tt-T' ^73^Tl
Ö1Y -rrJröK -rJ ,
llrvtav
=+l{+\.
r-llt,r./
-,.l t* Vz T2
li J T, Vgegeben
isochore
A S =,S 2-S r=n.C * + r .n .fn (
U, -U, =Wrz+ Qrz T, P gegebcn
isobor - St = fr 'C ,* + r .n ," .fn (
v -K
C e = C *v i K- P, Vgegeben
Adiabat, isotroe
A S =S z + n. R ..
L- rx p - r . lf l- l) - - J . o) J = r' .m 6 =(o.otzss I l*
to.ooossto- Grm,.
= r
z*ntripitd
G - .g'12
=tr$
Ä -?
p, s 'k g M ,-, nM )
F r =m.a z-* ' ! ' = f f i. a) 2. R G +=r n o ) z R
^E
F,
E'o
IR
=,r'c' s2 F - p* Qr*-Q,* 6,
t =f'rq'(r--r.m.v'-w
lrr " / /u' r"r u 'i " r 't '' M.
I t a . i l ? r 'i : f i 't '- - | l rl
.2nr -h(r) dr
"l.*
l[ - E = F.,Sl,rcte
tn = :l"rl=
Stromdichte n".lq,l.lv"l
[O l,=9 2=
0r
n O.
J, - Ir'dm - Ir' p . 2nr . h(r)dr dn.dA -1'8es
t ' '' , B(r)=#
,, 6=9
lt
J, = r, . p. d;r= IJJ,2p rdrdgdz yklotronfrequerui@" P , =fl l .V'l _
. -r
/t't','.,
^
o
p-v
,fi"le't!' ,'
Steiner: J , = J, + mx' h'nn''
P, 12.m.u
StokescheReiäki F = -6 . 7r. rl . y . r Q'Bo 1 q Bo
Schweredrrck: p = p. g. h + po 12=hw)
l}s Pa -lBar
^_2 = pz*:p, _ .2 I I
\ernoulli:pr**pvi
2' ''
r I z L z
oi' 1,
lP""*il b
f , on 'o'i' =2'" f is x v ; _po.E . h | * | et=-[n.d/4*eo
1r ,
Ps
en :p (h)=
Barometr tic he'n ä hi, Po .e lal=$.rlffi.Bo
Y{'älrx =r:.{7
+.n, #T
A
l& -:o,zc#3.
truse E. U
l i^n"= zgJs 1=
!=l mx or=I
krurr
!=xrtx,
L y '- ( & , \ '+( Mr ) '
A CIlr: 16.19Jt(rDlIO /=xt'xz
lruxre Encrgrs y=xrl x, (9), = (&), +14ä1,
Digitalmultimeter(vergl.Versuch E1): Analogmultimeter(vergl.Versuch Et) : Y xrx2
Wtirm
20V, Genauigkeitt(0,25o/ov.M.+ l digit) 10V,
U = 3.90 V (Gerätze,lgt2 SteltenhinterKommean!) U = 5,65 V
GenauBkeit:t1,5yo v -* i' * l
= 0.25o/o'
3.90V +0.01V = 0.02V l0 V = 0,15V (9), =(oMr)2 + 1!Mz y z
A. ^U ^U
--1.5o^'
v .x tx z
u=(3.90r0.02tv, U=(5.6510.15)V.
lr*'re
o/'Yff 7
j.oo.(#f
^b
di, 45!(.,'Är^o n.'21F4r'/f''e't ''7ttcA O' b
Ll " - vro.o.- nRo,T
I
- a .L T 4r)- 4r,).[r* a(r-q)] + - y.^r v@=+ ideal Gas,
v konst
R,,,:tf.3I J(mol K) ,,universelle
(Van der Waals Gleichung) L t, Gleichver.satz
( nqolare)Gaskonstante" 2
k = R^ l N ., = 1,3 8. 1o- 23J / K
lVlaxwell Bolfzmannsche (ieschlvind igkeitsver)[',
R, = R,,,lM .,spczielle ffiitt',
.f(r\dr,=.F (+\t.r,'..+ lU'r) uu
dividuelle) Gaskonstante"
dQ+ dw - dQ- Pdv ' \kr )
C^ p= C^v + \ .!{,;
Enthalpie:H -U + p*V, dH : dU + pdv +Vdp
=cn,=[f ]')", _t+Z
'
c,v f .-1
L ^= -
cc
t*,, nm
Q=-
T2 ""'7,
PrVr- Ptl': + -,P z PtIt - Pztr"z --L', PrV,- PzVz T,=7, + Pz -V'
Vt= . f), = r), +
Tt T2 Tt Pr 7.7- r U L
Tt Vl Tt Tz
tl t1
AVz
Wr, = 0 isochore 7
t",
W,t
.L
= - [ pdV * (V,- trrr).p, w,z=-'I pVlaY=,!R^TL
-U t = Qtz
Jt
I'l ri A "E)
\r:/
- c , ' ( 4 * Tl U ,-U t= W ,r* Qr= i sobar i sotherm
IJ, -U , = W rrt Q,r= A
- n - c , , r .( 4- 4 ) . c,,r -LR,,
Qn = n.Cr,,,.(7,
- T,), Cu,,,=
(+* l)A,,
Q.tz= -Wrt ---,R,,,4.t{
= ffi'ct 'V, -Tr) H
erpr Dieselprozess t
ptVr*= prVl
adiabat I
4 th,tt
,
^ I
I-
g*-l 'e=H
co,r^**=co,r' .
v -K
v -l
TrVr*' = TzVi T3 -72+ K(4 -rr) K .6" -' g - I
polytrop Carnot, Stirling Leistungszahl :
T,*pi * -Tl It Kbei LuFl.4
ZESS Joule-Prozess
v3
'th ,o =1 -+
- , 9 = v2 ,-! lt n , =
r l- a 2' 73
-Tt-T' ^73^Tl
Ö1Y -rrJröK -rJ ,
llrvtav
=+l{+\.
r-llt,r./
-,.l t* Vz T2
li J T, Vgegeben
isochore
A S =,S 2-S r=n.C * + r .n .fn (
U, -U, =Wrz+ Qrz T, P gegebcn
isobor - St = fr 'C ,* + r .n ," .fn (
v -K
C e = C *v i K- P, Vgegeben
Adiabat, isotroe
A S =S z + n. R ..
L- rx p - r . lf l- l) - - J . o) J = r' .m 6 =(o.otzss I l*
to.ooossto- Grm,.
= r
z*ntripitd
G - .g'12
=tr$
Ä -?
p, s 'k g M ,-, nM )
F r =m.a z-* ' ! ' = f f i. a) 2. R G +=r n o ) z R
^E
F,
E'o
IR
=,r'c' s2 F - p* Qr*-Q,* 6,
t =f'rq'(r--r.m.v'-w
lrr " / /u' r"r u 'i " r 't '' M.
I t a . i l ? r 'i : f i 't '- - | l rl
.2nr -h(r) dr
"l.*
l[ - E = F.,Sl,rcte
tn = :l"rl=
Stromdichte n".lq,l.lv"l
[O l,=9 2=
0r
n O.
J, - Ir'dm - Ir' p . 2nr . h(r)dr dn.dA -1'8es
t ' '' , B(r)=#
,, 6=9
lt
J, = r, . p. d;r= IJJ,2p rdrdgdz yklotronfrequerui@" P , =fl l .V'l _
. -r
/t't','.,
^
o
p-v
,fi"le't!' ,'
Steiner: J , = J, + mx' h'nn''
P, 12.m.u
StokescheReiäki F = -6 . 7r. rl . y . r Q'Bo 1 q Bo
Schweredrrck: p = p. g. h + po 12=hw)
l}s Pa -lBar
^_2 = pz*:p, _ .2 I I
\ernoulli:pr**pvi
2' ''
r I z L z
oi' 1,
lP""*il b
f , on 'o'i' =2'" f is x v ; _po.E . h | * | et=-[n.d/4*eo
1r ,
Ps
en :p (h)=
Barometr tic he'n ä hi, Po .e lal=$.rlffi.Bo
Y{'älrx =r:.{7
+.n, #T
A
l& -:o,zc#3.
truse E. U
l i^n"= zgJs 1=
!=l mx or=I
krurr
!=xrtx,
L y '- ( & , \ '+( Mr ) '
A CIlr: 16.19Jt(rDlIO /=xt'xz
lruxre Encrgrs y=xrl x, (9), = (&), +14ä1,
Digitalmultimeter(vergl.Versuch E1): Analogmultimeter(vergl.Versuch Et) : Y xrx2
Wtirm
20V, Genauigkeitt(0,25o/ov.M.+ l digit) 10V,
U = 3.90 V (Gerätze,lgt2 SteltenhinterKommean!) U = 5,65 V
GenauBkeit:t1,5yo v -* i' * l
= 0.25o/o'
3.90V +0.01V = 0.02V l0 V = 0,15V (9), =(oMr)2 + 1!Mz y z
A. ^U ^U
--1.5o^'
v .x tx z
u=(3.90r0.02tv, U=(5.6510.15)V.
lr*'re
o/'Yff 7
j.oo.(#f
^b
di, 45!(.,'Är^o n.'21F4r'/f''e't ''7ttcA O' b
