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POKOK BAHASAN BAB 5
PENDAHULUAN
GAS IDEAL(DESKRIPSI MAKROSKOPIS)
GAS IDEAL (DESKRIPSI MIKROSKOPIS) GAS SEJATI (GAS NYATA)
PERSAMAAN GAS NYATA
BIDANG p-V-T GAS IDEAL DAN GAS NYATA
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INDIKATOR
M!"#$%&$! '%$$! $&*%&*p+%
M!"#$%&$! '%$$! +&*%&*p+%
T*+ &+!,+& $%
G$% +.$# %'$$+ .%&+p%+
$&*%&*p+&
G$% +.$# %'$$+ .%&+p%++&*%&*p+&
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S,,% +!$& $! .+,,%&$!
.+%., $!$! $&$!
!$&$! %#$!$!
!$p$ .+&+$!4 '$$+$! *#
%,#$ +!$& 6$!+
.+,,%&$!4
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Pendahuluan
Kuantitas makroskopis
A.$#$ &$!,+,$% $! #$!%!
.+$%*%+$%+&$! .!$! ,$!$p$! +!.$(%!% *8 p9p,+*!)
M+%$#!$ ,&$!$!: ,p$, : !+
.$#$ .$! !,*p+; M'!,& 9$'$! +# +#
p!,$$! ,*.+!$+&$
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Kuantitas mikroskopis A.$#$ &$!,+,$% $! !"#$%&$! $,*
.$! *#&# $! '!,& %+%,
M+%$# #$": !+: $%%$: *!,%.,
M'!,& 9$'$! +# &$!+&$
%,$,+%,+&
7/24/2019 Kinetik Gas 2
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10/11/15 =
Teori kinetik gas
Teori kinetik gas memberi jembatan
terhadap tinjauan partikel secara
makroskopis dan secara mikroskopis P$&$+$! & &$!+&$ %9$$
%,$,+%,+& !,& !+,! '%$$!-
'%$$! p$.$ $,* %9$$ #'+ #$%
T&$!$!: ,p$,: &$#* "!+% .$!
!+ .$#$
7/24/2019 Kinetik Gas 2
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Gas ideal ditinjau dari deskripsimakroskopis
Dibahas dalam
Termodinamika
(mengingat kembali)
7/24/2019 Kinetik Gas 2
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10/11/15 10
Tekanan Gas deal
R*', B*#
>"+&$ $%%$ .$! ,p$, %$, $%
.+"$$ &*!%,$! .$! *# $% .+'$
,!$,$ ,&$!$! $! .+&#$&$! $%
"$ ''$?
H& B*# pV @ &*!%,$!
7/24/2019 Kinetik Gas 2
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$#% .$! G-L%%$9
> "+&$ $% .+p*%% .!$! ,&$!$! &*!%,$!: $&$
*# $% $.$#$ %'$!.+! .!$!
,p$,?
H& $#% .$! G-L%%$9
p/T @ K*!%,$!
H& B* G-L%%$9
pV/T @ K*!%,$!
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pV/T @ K*!%,$!J+&$ $%%$ $% .+!$,$&$! .$#$ *# (!):$&$
&*!%,$!,$! ,%', @ !R .!$! R ($% .+,!,&$!
.$#$ &%p+!)
nR T
pV
= $,$ pV @ !RT
Avogadro bilangan: NBoltzman,konstanta:k
!/"10#1,$% NR k
0
0
2$−==
pV @ N&T
7/24/2019 Kinetik Gas 2
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10/11/15 1$
Deskripsi !akroskopis Temperatur Gas deal
T*, *# ,,$p
170:10
170:00
15:0
15:=0
15:70
N2
H2
H2
P,
T(P, )
0 20 C0 70 120
V
tr 0 ptr
i & p
p'lim" 2($,1)T
→=
Tp$,
$% +.$#
7/24/2019 Kinetik Gas 2
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10/11/15 1*
Contoh soal
S$, $% +.$# p$.$ ,&$!$! 13< $, .$! ,p$,2<0 *#!$ 2 3; B$p$&$ *# $! .$p$,
.+9$p$+ *# $% +!+: "+&$ .+&%p$!%+ p$.$ ,&$!$!
$,*%8 .$! ,p$, 500
D+&,$+
P1 @ 13< $,: T1 @ 2<0 2<3 @ 300K: V1@ 2 3
P2 @ 1 $,: T2 @ 500 2<3 @ 323K: V2@ 4
7/24/2019 Kinetik Gas 2
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S*#%+
P%$$$! $% +.$# .$+ H&; B*# G L%%$9
konstanT
pV=
2
22
1
11
T
V p
T
V p=
%+!$
1
21
122 V
T p
T pV =$,$
$$
2
01),02atm1$(" $00
atm1" $2$V mm ==
D!$! .+&+$! .+.$p$,&$! *#
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10/11/15 1)
*!,* %*$# 2S'$ '$! *'+# *#!$ 5:7 F 103 99 .++%+
.!$! !+,*! %$p$+ ,&$!$! $!$ 2p%+ p$.$ ,p$, 300K; J+&$ %#$$
p"$#$!$! ,p$, '$! !$+& !"$.+ 320
K: '$p$ p'$$! ,&$!$! '$! ,%',4
D+&,$
V*# (V) @ 5:7 F 103 99 @ 5:7 F 103 93
@ 5:7 F 10-3 3
T&$!$! ,*,$# (p1)@ p$ p $,*%8
@ 2 p%+ 1C:< p%+ @ C3: < p%+
Tp$, (T1) @ 300 K: T2 @ 320 K
7/24/2019 Kinetik Gas 2
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10/11/15 +N-.-."AN B.. 2011 1(
S*#%+
H& $#% .$! G-L%%$9
p/T @ K*!%,$!
2
2
1
1
T
p
T
p=
1
1
22 pT
T p =$,$
psi*),)*$,(psi$00"
$20"
p2 ==
S+!$ ,&$!$! p$.$ % 320 K .$p$,
&+,$ +,!
T&$!$! $ '$! !"$.+ C7:7 p%+ -1C:< p%+ @ 31: p%+
S+!$ ,"$.+ p'$$! ,&$!$! %'%$
@31: p%+ 2 p%+ @ 2: p%+
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10/11/15 1%
!enentukan nilai "
"ara 1#
U!,& %,+$p $%: p$.$ % T @2<3 K .$! ,&$!$!
p@1 $,: $&$ *# $% $.$#$ 22:C #+,;
S+!$ .$p$, .+,#+%&$! .$#$ p%$$$!
11" mollatm0,0%2
" 2($
l/mol22,*atm1R −−==
R @ =:31C J *#-1K-1 SI
R @ =:31C F 103 J &*#-1K-1 MKSR @ =:31C F 10< *#-1K-1 9%
R @ 2 9$# *#-1 K-1
nR
T
pV=
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"ara $#
M#$#+ '!$! pV @ RT p$.$ H; B*# .$!
H;$#%
G$% +.$# #$-#$T0 @ 2<3 K : p0 @ 1 $,
V*# V0
M!$!.! ! *# $%
G$% $+ p$.$ ,&$!$! ,,$p
(H;$#%) %+!$ V1
V1 @ V0 1 T)
&*8+%+! #$+ *# $% 1/2<3
T &!$+&$! %
( #+,)10
p0
p
p ($,)
T0
T1
2
3
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A,$ .$p$, &+,$ ,#+%
V1 @ V0 1 1/2<3 T
A,$ V1 @ V0;T/2<3
&2($
T2($'V1
+=
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10/11/15 21
K.+$! $% !$#$+ p*%% +%*,$# .$+ &$.$$! 2& &$.$$! 3 '#$& H&; B*#
p0V1 @ p;V$,$
T
2($
V p pV 00=
H+p*,%+% A*$.* !$,$&$!'$6$ %,+$p 1 *# $% p$.$,&$!$! 1 $,: ,p$, 00
*# 22:Cl ; %+!$ *#!,& ! *# $%
V0 @ ! F 22:C l
( #+,)10
p0
p
p ($,)
T0
T1
2
3
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10/11/15 22
S+!$ &+,$ .$p$,&$!
T2($
22,*#n p pV 0=
T&
" 2($
l/mol22,*#atm1'n pV=
N+#$+ 22:C/2<3 @ 0:0=20512=2 p$&$! &*!%,$!,$
$% !+%$# R; A,$ .$p$, &+,$ ,#+%&$!
R @ 0:0=2 $,;l;*#-1K-1
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10/11/15 2$
"ara %# melaui eksperimen
D!$! !$%%+&$! '$6$
* G$% +#+&+ &#$&$! ,*,+& ,'$+&* N+%'$ ,&$!$! $% ,$.$p ,&$!$! $% p$.$ ,+,+&
,+p#!$ ,+.$& '$!,! p$.$ "!+% $%: $p$'+#$
,&$!$! $% ,%', !" !*#
H$%+# &%p+! $! .+#$&&$! $.$#$
* P$.$ % T @ T1: *# V: %"#$ ! *# $%
.+'$-'$ .$! ,&$!$! p .+9$,$,; L$!&$ +!+
.+#$&&$! !,& ''$$+ $%
* S# p9*'$$! .+#$! p$.$ % ''.$-'.$T2: T3:;; .%,
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10/11/15 2*
H$%+# &%p+! &.+$! .+,$'#&$! %'$$+ '+&,
P$.$ % T @ T1: ! *# $% H2: N2: O2 .##
@ V/! 1 2 3 +
p p1 p3 p3 ; p+
p p11 p22 p33 ; p++
P$.$ % T @ T2: T @ T3: T @ TC: .%, .+.$p$,&$! ,$'#$! %$$
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H$%+# &%p+! ,%', "+&$ .+'$, .$#$ $8+& p++
,$.$p p+
L!&!$! $8+& .$p$,
.+!$,$&$!
pV @ 8(p0)
@ A0 A1p A2p2 A3p
3;;
D+%',
p%$$$! $% !$,$
&%p$!%+ ++$# .$+! pV .$#$ p
A1 &*8+%+! ++$#
0 C0 =0 120 170 p($,)
pV
A0 (1)
A0 (2)
T1
T2
H2
N2
O2
H2
N2
O2
7/24/2019 Kinetik Gas 2
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10/11/15 2)
T+,+& A0 .+p*# .!$!
&%,$p*#$%+ &!+#$+ p 0S+!$ '#$&
pVlimA 0 p0 →=0 C0 =0 120 170 p($,)
pV
A0 (1)
A0 (2)
T1
T2
H2
N2
O2
H2
N2
O2
A0 B$!,! p$.$ T ,,$p+ ,+.$& '$!,! p$.$ "!+% $,: %+$ A0 .+%', "$ &*!%,$!,$ $%
!+%$#
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10/11/15 2(
"ara 4#
P%$$$! p!!,$! $% +.$# .!$! !!&$!
,*, $% *# ,,$p
J+&$ $% &$!$! .+&$#+&$! V/V,( @ 1: $&$
tr 0 p p plim2($,1)T
→=
tr tr 0 p V p
pVlim2($,1)T
→
=
TA2($,1)
VTp pVlim 0
tr tr
0 p==
→
P, ,&$!$! %"#$ $% .$#$
,$'! ,*, $% *#
,,$p &,+&$ ,$'! +, .+&#+#+!+
$+ p$.$ ,+,+& ,+p#
V, *# ,*, $% p$.$ ,+,+&
,+p#
2($,1)
V pA tr tr
0 =
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10/11/15 2%
H$%+# p!&$! (p,( ; V,( ) %9$$ '#$! &$#+ !,&
''$$+ "!+% $%: !$%+#&$! !+#$+ $! %$$
$+,227=:5=<2 J/*#; S+!$
" !/mol2($,1)
22)%,95%(2
2($,1)
V pA tr tr
0 ==
A0 @ =:307 J;*#-1 ;K-1
A0 p$&$! '+#$!$! $! '#$& !,& %$
"!+% $% .$! .+'+ !$$ &*!%,$!,$ $%
!,& 1*# (&*!%,$!,$ $% !+%$#) .$! .$p$,
.+,#+% .!$! #$'$! R
7/24/2019 Kinetik Gas 2
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10/11/15 29
Gas ideal ditinjau dari deskripsimikroskopis
Dibahas dalam
teori kinetik gas
7/24/2019 Kinetik Gas 2
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10/11/15 30
A%%+ ,!,$! $% +.$#
P$,+&#-p$,+&# $% ,%'$ %9$$
$,$ .$! %!$!,+$%$ '$&&%$#$ $$ ($'$!)
J$$& $!,$ p$,+&# %$!$,'%$ .+'$!.+! .!$! &$!
p$,+&#
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p$,+&# %$#+!
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10/11/15 31
S$ ,'&$!: '$+& $!,$p$,+&# $p! .!$! .+!.+!
T"$.+ %9$$ #!,+! %p!$
G$% +.$# ,.++ $,$% p$,+&#
.$#$ "#$ $! '%$
H& !6,*! ,!,$! $&
'#$&
2vm2
1 =k
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10/11/15 32
G&' D&
#as ideal berupa gas atom tunggal
#as ini tidak dapat menjadi cair ataupun padat
!olekul$molekuln%a berupa titik massa
PERTANYAAN :
& Apa %ang 'imaksud dengan !olekul Berupa Titik !assa(
)& Sebutkan Contoh #as *deal(
7/24/2019 Kinetik Gas 2
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10/11/15 33
Gas ideal %'!$!$ ,+.$& $.$ .+ $#$: ,,$p+
.+.&$,+ *# $%-$% #+$
H: N: A: K: : R.
Titik !assa* T+$p *#&# p!$+ $%%$
,,$p+ ,+.$& p!$+ *#* M*#&#!$ ''$% '$& .$#$
'"$!$ %'$' *#&# ,+.$&
$&$! ,p$, .$#$ '"$!$
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10/11/15 $*
*!, *#&# $%: ,+!&$,
!+ *#&# $%: &9p$,$!
,'&$!: .+%', '%$$!
+&*%&*p+&
,&$!$!: *#: ,p$, :
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B%$$! 8+%+&$ $! .$p$, .+&
B%$$! $! ,$& ,& %9$$
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Tekanan
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10/11/15 +N-.-."AN B.. 2011 $5
Tekanan
B$$+$!$ p$!.$!$!,*+ &+!,+& $%
M!!$+ ,&$!$!4
P$!.$!$! ,*+ &+!,+& $%
T&$!$! p$&$! !+#$+$,$-$,$ $$ ,'&$!
$% .!$! .+!.+! ,p$,
$% +, '$.$
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10/11/15 37
K#$"$! *#&#
K#$"$! $,$ *#&# ()
K#$"$! $&$ p$,$ &$.$, (()%)
N
vv
2
rms ∑= $,$ 2
@ N;%
2
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10/11/15 3<
K#$"$! %'$ *#&#
.$p$, .+$+&$! !"$.+ F::.$! %+!$
∑ ∑ ∑∑ ++= 2222 z y x vvvv
2
rms
2
z
2
3
2
#
2 v Nvvvv =++=∑ ∑ ∑∑
7/24/2019 Kinetik Gas 2
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10/11/15 3=
rms2
#22 v Nv$v ==
∑ ∑
P#$! *#&#-*#&# !,& '$& &$$$!$p! $.$#$ %$$ %+!$ "#$ &*p*!!&#$"$! &$$ %' F:: .$! $.$#$ %$$
2rms
2z
23
2# v N
$1vvv ===∑ ∑ ∑
7/24/2019 Kinetik Gas 2
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10/11/15 3
F
A
l
S'$ p$,+&# '$& .!$! &9p$,$!
@ F
B+#$ !'& '+.$! A: p$,+&# ,p$!,# .!$!
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p$,+&# +, ,+.$& !'&
p$,+&# #$+!!$ %+!$p$,+&# +, $&$! !'&
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10/11/15 C0
A&+'$, ,'&$! ,%',: p$,+&# +, !.$p$,
p'$$! *!, %'%$
333 2mv4mv4mv5+ −=−−=
F
A
l
P @ P$&+ P$6$#
M*!, ,*,$# .$#$ p*%%
,'&$! $.$#$ &&$#: p$,+&#
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10/11/15 C1
J$$& $! .+,p p$,+&# !,& p*%% .$ &$#+
,'&$! p$.$ .+!.+! A %9$$ ',$! $.$#$ 2#/
.!$! &9p$,$! / .$#$ 6$&, ,; S+!$ ,
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3v25t l=
A,$ .!$! &$,$ #$+!: "#$ ,'&$! .$#$ ,+$p
%$,$! 6$&, $.$#$
l2
v
5t
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10/11/15 C2
K$!$ %,+$p &$#+ ,"$.+ ,'&$!: .+!.+! !+$
*!, 2 : $&$ p'$$! *!, $!.+,+$ .+!.+! ,+$p %$, %$,$! 6$&, %'%$
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ll
2
33
3
mv
2
v42mv
t
+−==
4vvvm
t
+ 2
3N
2
32
2
31
N
+++=
l
7/24/2019 Kinetik Gas 2
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10/11/15 C3
D!$! !!$&$! p%$$$!
A
6+dan
5t
5+6 =
=
D!$! A $.$#$ #$% .+!.+!: P ,&$!$! $%
p$.$ .+!.+! .$! $$ $% p$.$ .+!.+!.+p*#
4vvvA
m+
2
3N
2
32
2
31 +++=l
$,$
2
3
2
3N
2
32
2
31v
V
Nm4
N
vvv
V
Nm+ =
+++=
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10/11/15 CC
K$!$ N %$!$, '%$: $&$ !,& %$, p$,+&# %$"$
S+!$ .+.$p$,
p$,+&# '$& %9$$ $9$&: $&$
2
z
2
3
2
#
2
vvvv ++=
22
z
2
3
2
# v
$
1vvv ===
2v
V
Nm
$
1+=
2
z
2
3
2
#
2 vvvv ++=
%+!$ .+p*#
7/24/2019 Kinetik Gas 2
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10/11/15 C5
!asihingatkah*
&pa de+nisi',-,.
T ,
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10/11/15 C7
Tp$,
Tp$, !, ,*+ &+!,+& $%D$+ p%$$$! $% +.$#
kT pV N = 2vV
Nm
$
1 p=
S+!$ &+,$ .$p$,&$!
2vm$
1kT=
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10/11/15 C<
K$!,+,$% $.$#$ .$ p,+$ .$+ %# !+
&+!,+& *#&#: $&$
2vm$
1
4vm2
1$
2 pV
2= $,$ pV$
2vm
2
1 2 =
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K$!$ N A @ M $.$#$ $%%$ 1 *# *#&# .$! N A& @ R
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K$!$ 1 J @ 10< 92%-2: $&$
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