MLABlibrarysvnkaklikMLAB_E8magsvn

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/dokumenty/skolni/PRA1/5-Teplomer/data.ods
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/dokumenty/skolni/PRA1/5-Teplomer/teplomer.aux
0,0 → 1,33
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/dokumenty/skolni/PRA1/5-Teplomer/teplomer.dvi
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/dokumenty/skolni/PRA1/5-Teplomer/teplomer.gp
0,0 → 1,15
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fit f(x) "teplomer.txt" using 1:2 via a
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!ps2pdf teplomer.ps

/dokumenty/skolni/PRA1/5-Teplomer/teplomer.log
0,0 → 1,478
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\OT1/cmr/m/n/12 hod-not^^Te. A m^^Tern^^Se sku-pensk^^Se teplo varu vody jsme p
roti tab-ulkov^^Se hod-not^^Te $\OML/cmm/m/it/12 l[] \OT1/cmr/m/n/12 = 2\OML/cm
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[]\OT1/cmr/m/n/12 Zad^^San^^S^^P ^^Sulohy 5 - M^^Te^^Tren^^S^^P m^^Tern^^Seho s
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cleartomark
%%EndFont
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 14 /openbullet put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 39 /similarequal put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 86 /V put
dup 97 /a put
dup 107 /k put
dup 114 /r put
dup 117 /u put
dup 118 /v put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 13 /gamma put
dup 20 /kappa put
dup 58 /period put
dup 59 /comma put
dup 64 /partialdiff put
dup 67 /C put
dup 84 /T put
dup 98 /b put
dup 99 /c put
dup 104 /h put
dup 108 /l put
dup 109 /m put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 116 /t put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 1 /Delta put
dup 12 /fi put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 64 /at put
dup 67 /C put
dup 68 /D put
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 39 /quoteright put
dup 45 /hyphen put
dup 46 /period put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 107 /k put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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2540 y(')2602 2550 y(te)i(k)m(on)m(trolu)f(p)s(omo)s(c)-11
b(\023)-38 b(\020)44 b(teplot)m(y)244 2670 y(absolutn)-11
b(\023)-38 b(\020)33 b(n)m(uly)-8 b(.)0 2731 y
SDict begin H.S end
0 2731
a 0 2731 a
SDict begin 14.5 H.A end
0 2731 a 0 2731 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.3) cvn H.B /DEST pdfmark end
0 2731 a Black 119 2874
a Fh(3.)p Black 49 w(Ur)m(\024)-46 b(cete)23 b(tep)s(elnou)f(k)-5
b(apacitu)22 b(k)-5 b(alorimetru)22 b(\(Dew)m(aro)m(vy)h(n\023)-49
b(adob)m(y\),)23 b(kter)q(\023)-50 b(y)23 b(p)s(ou)m(\024)-46
b(zijete)22 b(p)-5 b(\024)-43 b(ri)21 b(ur)m(\024)-46
b(co)m(v\023)d(an)-11 b(\023)-38 b(\020)244 2994 y(m)m(\024)-46
b(ern)m(\023)g(eho)24 b(skup)s(ensk)m(\023)-46 b(eho)26
b(tepla)d(v)-5 b(aru)23 b(v)m(o)s(dy)-8 b(.)24 b(Sestro)5
b(jte)24 b(z)g(nam)m(\024)-46 b(e)-5 b(\024)-43 b(ren)q(\023)-50
b(yc)m(h)24 b(ho)s(dnot)f(graf)f(z\023)-49 b(avislosti)244
3115 y(teplot)m(y)33 b(l\023)-49 b(azn)m(\024)j(e)34
b(na)c(\024)-46 b(case.)33 b(P)m(osud)1438 3105 y(')1465
3115 y(te,)h(zda)f(ten)m(to)g(p)s(ostup)g(je)g(pro)f(dan)q(\023)-50
b(y)34 b(k)-5 b(alorimetr)32 b(n)m(utn)q(\023)-50 b(y.)0
3176 y
SDict begin H.S end
0 3176 a 0 3176 a
SDict begin 14.5 H.A end
0 3176 a 0 3176 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.4) cvn H.B /DEST pdfmark end
0 3176 a Black
119 3318 a Fh(4.)p Black 49 w(Ur)m(\024)k(cete)41 b(m)m(\024)-46
b(ern)m(\023)g(e)41 b(skup)s(ensk)m(\023)-46 b(e)43 b(teplo)d(v)-5
b(aru)40 b(v)m(o)s(dy)g(s)h(ohledem)g(na)f(mno)m(\024)-46
b(zstv)-11 b(\023)-38 b(\020)41 b(p)-5 b(\024)-43 b(red)m(\024)d(casn)m
(\024)g(e)41 b(zk)m(on-)244 3438 y(denzo)m(v)-5 b(an)m(\023)-46
b(e)34 b(p\023)-49 b(ary)33 b Fg(m)1020 3453 y Ff(v)1061
3438 y Fh(.)0 3608 y
SDict begin H.S end
0 3608 a 0 3608 a
SDict begin 14.5 H.A end
0 3608 a 0 3608
a
SDict begin [ /View [/XYZ H.V] /Dest (section.2) cvn H.B /DEST pdfmark end
0 3608 a 163 x Fi(2)264 3737 y(\023)242 3771 y(Uv)l(o)t(d)0
3990 y Fh(T)-8 b(eplota)33 b(v)-5 b(aru)32 b(v)m(o)s(dy)i(je)f(d\023)
-49 b(ana)32 b(v)q(\023)-50 b(yrazem)452 4231 y
SDict begin H.S end
452 4231
a Fg(t)487 4246 y Ff(v)r(ar)r(u)667 4231 y Fh(=)28 b(100)p
Fg(;)17 b Fh(000)k(+)h(0)p Fg(;)17 b Fh(03687\()p Fg(b)j
Fe(\000)j Fh(760\))e Fe(\000)i Fh(0)p Fg(;)17 b Fh(000022\()p
Fg(b)k Fe(\000)h Fh(760\))2842 4190 y Fd(2)2881 4231
y Fh([)2908 4190 y Fc(\016)2948 4231 y Fg(C)r(;)17 b(T)d(or)s(r)s
Fh(])p Fg(:)3330 4231 y
SDict begin 14.5 H.A end
3330 4231 a 3330 4231 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.1) cvn H.B /DEST pdfmark end
3330
4231 a Black 325 w Fh(\(1\))p Black 146 4405 a(N\023)-49
b(asledn)m(\024)j(e)34 b(pak)f(dok\023)-49 b(a)m(\024)j(zeme)34
b(ur)m(\024)-46 b(cit)34 b(i)e(teplotu)h(na)g(plyno)m(v)m(\023)-46
b(em)34 b(teplom)m(\024)-46 b(eru.)1544 4671 y
SDict begin H.S end
1544 4671
a Fg(t)28 b Fh(=)f Fg(t)1745 4686 y Ff(v)r(ar)r(u)1985
4603 y Fh(\001)p Fg(h)p 1908 4647 291 4 v 1908 4739 a
Fh(\001)p Fg(h)2045 4754 y Ff(v)r(ar)r(u)2209 4671 y
Fg(:)2236 4671 y
SDict begin 14.5 H.A end
2236 4671 a 2236 4671 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.2) cvn H.B /DEST pdfmark end
2236 4671 a
Black 1419 w Fh(\(2\))p Black 146 4885 a(Ho)s(dnot)m(y)33
b(m)-9 b(\027)-64 b(u)m(\024)-46 b(zeme)35 b(tak)m(\023)-46
b(e)33 b(vyu)m(\024)-46 b(z)-11 b(\023)-38 b(\020t)34
b(k)f(dop)s(o)m(\024)-46 b(c)-11 b(\023)-38 b(\020t\023)-49
b(an)-11 b(\023)-38 b(\020)32 b(rozp)-11 b(\023)-38 b(\020na)m(v)m
(osti)35 b(vzduc)m(h)m(u)1342 5162 y
SDict begin H.S end
1342 5162 a Fg(\015)e
Fh(=)1540 5095 y(1)p 1540 5139 49 4 v 1540 5230 a Fg(p)1615
5016 y Fb( )1726 5095 y Fg(@)p 1691 5139 128 4 v 1691
5230 a(@)5 b(T)1828 5016 y Fb(!)1894 5266 y Ff(V)1983
5162 y Fe(')2098 5095 y Fh(\001)p Fg(p)p 2098 5139 131
4 v 2139 5230 a(p)2300 5095 y Fh(1)p 2248 5139 153 4
v 2248 5230 a(\001)p Fg(T)2410 5162 y(:)2437 5162 y
SDict begin 14.5 H.A end
2437
5162 a 2437 5162 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.3) cvn H.B /DEST pdfmark end
2437 5162 a Black 1218 w Fh(\(3\))p
Black 0 5443 a(co)m(\024)-46 b(z)33 b(m)-9 b(\027)-64
b(u)m(\024)-46 b(zeme)34 b(p)-5 b(\024)-43 b(repsat)33
b(na)1690 5607 y
SDict begin H.S end
1690 5607 a Fg(\015)g Fh(=)1893 5540
y(\001)p Fg(h)p 1887 5584 149 4 v 1887 5676 a(b)23 b
Fe(\001)f Fg(t)2046 5607 y(;)2090 5607 y
SDict begin 14.5 H.A end
2090 5607 a
2090 5607 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.4) cvn H.B /DEST pdfmark end
2090 5607 a Black 1565 w Fh(\(4\))p Black
0 5807 a(kde)34 b(b)e(je)h(atmosferic)m(ky)i(tlak)d(v)h(T)-8
b(orrec)m(h.)p Black Black eop end
%%Page: 2 2
TeXDict begin 2 1 bop 0 0 a
SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end
0 0 a Black 0 TeXcolorgray
0 -207 a
SDict begin H.S end
0 -207 a 0 TeXcolorgray 0 TeXcolorgray 0 -207
a
SDict begin H.R end
0 -207 a 0 -207 a
SDict begin [ /View [/XYZ H.V] /Dest (page.2) cvn H.B /DEST pdfmark end
0 -207 a Black Black 146 100 a Fh(P)-5
b(\024)-43 b(ri)32 b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11
b(\023)-38 b(\020)33 b(skup)s(ensk)m(\023)-46 b(eho)35
b(tepla)e(v)-5 b(aru)33 b(v)m(o)s(dy)g(vyu)m(\024)-46
b(zijeme)35 b(k)-5 b(alorimetric)m(k)m(ou)34 b(ro)m(vnici.)779
320 y
SDict begin H.S end
779 320 a Fh(\()p Fg(m)23 b Fe(\000)f Fg(m)1109
335 y Ff(v)1150 320 y Fh(\))p Fg(l)1217 335 y Ff(v)1280
320 y Fh(+)g Fg(mc)p Fh(\()p Fg(t)1578 335 y Ff(v)r(ar)r(u)1754
320 y Fe(\000)h Fg(t)p Fh(\))f(+)g(\()p Fg(m)2170 335
y Ff(k)2213 320 y Fg(c)g Fh(+)g Fg(\024)p Fh(\)\()p Fg(t)2542
335 y Fd(0)2604 320 y Fe(\000)h Fg(t)p Fh(\))k(=)h(0)p
Fg(;)3001 320 y
SDict begin 14.5 H.A end
3001 320 a 3001 320 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.5) cvn H.B /DEST pdfmark end
3001 320 a Black
654 w Fh(\(5\))p Black 0 540 a(kde)34 b Fg(c)e Fh(je)h(m)m(\024)-46
b(ern\023)d(a)33 b(tep)s(eln\023)-49 b(a)33 b(k)-5 b(apacita)32
b(v)m(o)s(dy)-8 b(.)34 b(M)m(\024)-46 b(ern)m(\023)g(e)34
b(skup)s(ensk)m(\023)-46 b(e)35 b(teplo)e(v)-5 b(aru)32
b(pak)h(vyj\023)-49 b(ad)-5 b(\024)-43 b(r)-11 b(\023)-38
b(\020me)33 b(jak)m(o)1087 809 y
SDict begin H.S end
1087 809 a Fg(l)1116
824 y Ff(v)1184 809 y Fh(=)1298 742 y(\()p Fg(m)1421
757 y Ff(k)1486 742 y Fh(+)22 b Fg(\024)p Fh(\)\()p Fg(t)g
Fe(\000)h Fg(t)1908 757 y Fd(0)1948 742 y Fh(\))f Fe(\000)g
Fg(mc)p Fh(\()p Fg(t)2307 757 y Ff(v)r(ar)r(u)2483 742
y Fe(\000)h Fg(t)p Fh(\))p 1298 786 1358 4 v 1810 877
a Fg(m)g Fe(\000)f Fg(m)2102 892 y Ff(v)2666 809 y Fg(:)2693
809 y
SDict begin 14.5 H.A end
2693 809 a 2693 809 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.6) cvn H.B /DEST pdfmark end
2693 809 a Black 962 w Fh(\(6\))p
Black 146 1070 a(Ch)m(yb)-11 b(\023)-38 b(\020)49 b(n\023)-49
b(am)47 b(ale)g(tep)s(eln\023)-49 b(a)48 b(k)-5 b(apacita)47
b(k)-5 b(alorimetru,)47 b(kterou)h(m)m(us)-11 b(\023)-38
b(\020me)49 b(zm)m(\024)-46 b(e)-5 b(\024)-43 b(rit.)47
b(K)g(tom)m(u)g(n\023)-49 b(am)0 1190 y(p)s(om)-9 b(\027)-64
b(u)m(\024)-46 b(ze)33 b(jin\023)-49 b(a)33 b(k)-5 b(alorimetric)m
(k\023)-49 b(a)34 b(ro)m(vnice)1117 1410 y
SDict begin H.S end
1117 1410
a Fh(\()p Fg(m)1240 1425 y Fd(1)1280 1410 y Fg(c)22 b
Fh(+)g Fg(\024)p Fh(\)\()p Fg(t)1609 1425 y Fd(1)1671
1410 y Fe(\000)h Fg(t)p Fh(\))f(+)g Fg(m)2049 1425 y
Fd(2)2089 1410 y Fg(c)p Fh(\()p Fg(t)2204 1425 y Fd(2)2266
1410 y Fe(\000)g Fg(t)p Fh(\))28 b(=)g(0)p Fg(;)2663
1410 y
SDict begin 14.5 H.A end
2663 1410 a 2663 1410 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.7) cvn H.B /DEST pdfmark end
2663 1410 a Black 992
w Fh(\(7\))p Black 0 1630 a(ze)33 b(kter)m(\023)-46 b(e)34
b(vyj\023)-49 b(ad)-5 b(\024)-43 b(r)-11 b(\023)-38 b(\020me)33
b(k)-5 b(apacitu)33 b(k)-5 b(alorimetru.)1391 1899 y
SDict begin H.S end
1391 1899 a Fg(\024)28 b Fh(=)1589 1832 y Fg(m)1674 1847
y Fd(2)1713 1832 y Fg(c)p Fh(\()p Fg(t)23 b Fe(\000)f
Fg(t)1985 1847 y Fd(2)2025 1832 y Fh(\))p 1589 1876 475
4 v 1672 1968 a(\()p Fg(t)1745 1983 y Fd(1)1807 1968
y Fe(\000)g Fg(t)p Fh(\))2095 1899 y Fe(\000)h Fg(m)2280
1914 y Fd(1)2319 1899 y Fg(c:)2388 1899 y
SDict begin 14.5 H.A end
2388 1899 a
2388 1899 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.8) cvn H.B /DEST pdfmark end
2388 1899 a Black 1267 w Fh(\(8\))p Black
0 2143 a
SDict begin H.S end
0 2143 a 0 2143 a
SDict begin 14.5 H.A end
0 2143 a 0 2143 a
SDict begin [ /View [/XYZ H.V] /Dest (section.3) cvn H.B /DEST pdfmark end
0 2143 a
108 x Fi(3)161 b(P)l(ostup)52 b(m)l(\024)-77 b(e)-7 b(\024)-73
b(ren)-18 b(\023)-63 b(\020)0 2377 y
SDict begin H.S end
0 2377 a 0 2377
a
SDict begin 14.5 H.A end
0 2377 a 0 2377 a
SDict begin [ /View [/XYZ H.V] /Dest (subsection.3.1) cvn H.B /DEST pdfmark end
0 2377 a 122 x Fa(3.1)135 b(M)m(\024)-64
b(e)-6 b(\024)-61 b(ren)-15 b(\023)-52 b(\020)46 b(dut)r(\023)-69
b(yc)l(h)44 b(ob)7 b(jem)-13 b(\027)-88 b(u)0 2586 y
SDict begin H.S end
0 2586 a 0 2586 a
SDict begin 14.5 H.A end
0 2586 a 0 2586 a
SDict begin [ /View [/XYZ H.V] /Dest (subsection.3.2) cvn H.B /DEST pdfmark end
0 2586 a 127 x Fa(3.2)135
b(M)m(\024)-64 b(e)-6 b(\024)-61 b(ren)-15 b(\023)-52
b(\020)46 b(P)l(oissono)l(vy)g(k)l(onstan)l(t)l(y)g(plyn)l(u)0
2800 y
SDict begin H.S end
0 2800 a 0 2800 a
SDict begin 14.5 H.A end
0 2800 a 0 2800 a
SDict begin [ /View [/XYZ H.V] /Dest (section.4) cvn H.B /DEST pdfmark end
0 2800 a 160
x Fi(4)161 b(Diskuse)0 3179 y Fh(Z)33 b(v)q(\023)-50
b(ysledk)-9 b(\027)-64 b(u)36 b(nam)m(\024)-46 b(e)-5
b(\024)-43 b(ren)q(\023)-50 b(yc)m(h)34 b(v)g(c)m(hronologic)m(k)m
(\023)-46 b(em)35 b(p)s(o)-5 b(\024)-43 b(rad)-11 b(\023)-38
b(\020)32 b(lze)i(vyp)s(ozoro)m(v)-5 b(at)34 b(m)-11
b(\023)-38 b(\020rnou)33 b(stabiln)-11 b(\023)-38 b(\020)34
b(v)-5 b(ariaci)0 3299 y(v)42 b(pr)-9 b(\027)-64 b(ub)m(\024)-46
b(eh)m(u)42 b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11
b(\023)-38 b(\020.)42 b(T)-8 b(en)m(to)42 b(jev)f(b)m(y)h(mohl)g(b)q
(\023)-50 b(yt)41 b(zp)-9 b(\027)-64 b(usob)s(en)43 b(bud)2454
3289 y(')2523 3299 y(zm)m(\024)-46 b(enou)42 b(vlastnost)-11
b(\023)-38 b(\020)43 b(aparatury)-8 b(,)0 3419 y(neb)s(o)40
b(skute)m(\024)-46 b(cn)m(\024)g(e)42 b(zm)m(\024)-46
b(enou)41 b(slo)m(\024)-46 b(zen)-11 b(\023)-38 b(\020)41
b(vzduc)m(h)m(u.)h(Nejpra)m(vd)m(\024)-46 b(ep)s(o)s(dobn)m(\024)g(ej)
-5 b(\024)-44 b(s)-11 b(\023)-38 b(\020)42 b(asi)e(bude)h(k)m(om)m
(binace)h(ob)s(ou)0 3540 y(t)m(\024)-46 b(ec)m(h)m(to)28
b(jev)-9 b(\027)-64 b(u.)29 b(Kdy)e(p)-5 b(\024)-43 b(ri)27
b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38
b(\020)27 b(meto)s(dou)h(kmita)5 b(j)-11 b(\023)-38 b(\020c)-11
b(\023)-38 b(\020ho)28 b(p)-11 b(\023)-38 b(\020stu)28
b(m)-9 b(\027)-64 b(u)m(\024)-46 b(ze)29 b(do)s(c)m(h\023)-49
b(azet)28 b(k)g(m)-11 b(\023)-38 b(\020rn)q(\023)-50
b(ym)28 b(zm)m(\024)-46 b(en\023)d(am)0 3660 y(v)35 b(pr)-9
b(\027)-64 b(utoku)35 b(vzduc)m(h)m(u)i(a)d(na)m(v)-11
b(\023)-38 b(\020c)35 b(i)f(dob)m(y)i(p)s(o)d(kter)m(\023)-46
b(e)33 b(\024)-46 b(c)-11 b(\023)-38 b(\020ta)m(\024)-46
b(c)35 b(p)s(o)m(\024)-46 b(c)-11 b(\023)-38 b(\020t\023)-49
b(a)34 b(kmit)m(y)h(v\023)-49 b(ale)m(\024)j(cku)36 b(nem)m(us)-11
b(\023)-38 b(\020)37 b(b)q(\023)-50 b(yt)37 b(\023)-51
b(upln)m(\024)-46 b(e)-3 3780 y(\024)g(caso)m(v)m(\024)g(e)32
b(ekvidistan)m(tn)-11 b(\023)-38 b(\020.)33 b(Z)-5 b(\024)-43
b(rejm)m(\023)d(e)29 b(tak)m(\023)-46 b(e)31 b(je,)c(\024)-46
b(ze)31 b(v)g(m)-11 b(\023)-38 b(\020stnosti,)31 b(kter\023)-49
b(a)31 b(nen)-11 b(\023)-38 b(\020)31 b(p)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020li)-5 b(\024)-44 b(s)30 b(v)m(\024)-46
b(etran\023)d(a)30 b(se)h(p)s(oh)m(ybuje)0 3901 y(zna)m(\024)-46
b(cn)m(\023)g(e)34 b(mno)m(\024)-46 b(zstv)-11 b(\023)-38
b(\020)34 b(lid)-11 b(\023)-38 b(\020)33 b(kte)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020)32 b(souhrnn)m(\024)-46 b(e)34
b(ob)s(ohacuj)-11 b(\023)-38 b(\020)32 b(vzduc)m(h)j(o)d(v)-11
b(\023)-38 b(\020ceatomo)m(v)m(\023)-46 b(e)35 b(molekuly)-8
b(..)0 4070 y
SDict begin H.S end
0 4070 a 0 4070 a
SDict begin 14.5 H.A end
0 4070 a 0 4070 a
SDict begin [ /View [/XYZ H.V] /Dest (section.5) cvn H.B /DEST pdfmark end
0 4070
a 164 x Fi(5)161 b(Z)o(\023)-80 b(av)l(\024)j(er)0 4453
y Fh(Z\023)-49 b(av)m(\024)j(erem)46 b(lze)41 b(\024)-43
b(r)-11 b(\023)-38 b(\020ci)43 b(\024)-46 b(ze)46 b(ho)s(dnota)f(P)m
(oissono)m(vy)j(k)m(onstan)m(t)m(y)g(vzduc)m(h)m(u)g(za)d(b)m(\024)-46
b(e)m(\024)g(zn)q(\023)c(yc)m(h)48 b(p)s(o)s(dm)-11 b(\023)-38
b(\020nek)47 b(le)m(\024)-46 b(z)-11 b(\023)-38 b(\020)0
4573 y(n)m(\024)-46 b(ekde)29 b(ok)m(olo)e(ho)s(dnot)m(y)g(1,35.)g(Co)m
(\024)-46 b(z)27 b(je)g(v)h(souladu)f(s)h(p)-5 b(\024)-43
b(redp)s(okladem,)25 b(\024)-46 b(ze)27 b(vzduc)m(h)i(obsah)m(uje)f(p)
-5 b(\024)-43 b(rev\023)-49 b(a)m(\024)j(zn)m(\024)g(e)0
4693 y(dv)m(ou)33 b(neb)s(o)g(v)-11 b(\023)-38 b(\020ce)34
b(atomo)m(v)m(\023)-46 b(e)33 b(plyn)m(y)-8 b(.)0 5026
y Fi(Reference)0 5125 y
SDict begin H.S end
0 5125 a 0 5125 a
SDict begin 14.5 H.A end
0 5125 a 0
5125 a
SDict begin [ /View [/XYZ H.V] /Dest (section*.1) cvn H.B /DEST pdfmark end
0 5125 a 0 5083 a
SDict begin H.S end
0 5083 a 0 5083 a
SDict begin 14.5 H.A end
0 5083 a 0
5083 a
SDict begin [ /View [/XYZ H.V] /Dest (cite.objemy) cvn H.B /DEST pdfmark end
0 5083 a Black 49 5245 a Fh([1])p Black 49 w(M)m(\024)-46
b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38 b(\020)276 b(dut)q(\023)-50
b(yc)m(h)278 b(ob)5 b(jem)-9 b(\027)-64 b(u)277 b(v\023)-49
b(a)m(\024)j(zen)-11 b(\023)-38 b(\020m)278 b(a)e(k)m(ompres)-11
b(\023)-38 b(\020)278 b(plyn)m(u)p 0 1 0 0 TeXcolorcmyk
201 5391 a
SDict begin H.S end
201 5391 a 0 1 0 0 TeXcolorcmyk -25 x Fh(h)m(ttp://praktik)
-5 b(a.fj\014.cvut.cz/ob)5 b(jem)m(y/)p 0 1 0 0 TeXcolorcmyk
1737 5291 a
SDict begin H.R end
1737 5291 a 1737 5366 a
SDict begin [ /H /I /Border [0 0 0] /Color [0 1 1] /Action << /Subtype /URI /URI (http://praktika.fjfi.cvut.cz/objemy/) >> /Subtype /Link H.B /ANN pdfmark end
1737 5366 a Black
Black Black eop end
%%Trailer
userdict /end-hook known{end-hook}if
%%EOF

/dokumenty/skolni/PRA1/5-Teplomer/teplomer.tex
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\begin{document}
\title{Kalibrace rtuťového teploměru plynovým teploměrem}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{30.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Zkalibrovali jsme rtuťový teploměr pomocí plynového teploměru. Získané hodnoty jsme zároveň použili k určení součinitele rozpínavosti vzduchu.
\end{abstract}
\section{Pracovní úkoly}
\begin{enumerate}
\item Ocejchujte rtuťový teploměr pomocí plynového teploměru a nakreslete příslušný graf.
\item Vypočítejte součinitele rozpínavosti plynů $\gamma $ a proveďte kontrolu pomocí teploty absolutní nuly.
\item Určete tepelnou kapacitu kalorimetru (Dewarovy nádoby), který použijete při určování měrného skupenského tepla varu vody. Sestrojte z naměřených hodnot graf závislosti teploty lázně na čase. Posuďte, zda tento postup je pro daný kalorimetr nutný.
\item Určete měrné skupenské teplo varu vody s ohledem na množství předčasně zkondenzované páry $m_{v}$.
\end{enumerate}
\section{Úvod}
Teplota varu vody je dána výrazem
\begin{equation}
t_{varu} = 100,000 + 0,03687 (b - 760) - 0,000 022 (b - 760)^{2} [ ^\circ C, Torr].
\end{equation}
Následně pak dokážeme určit i teplotu na plynovém teploměru.
\begin{equation}
t = t_{varu}\frac{\Delta h}{\Delta h_{varu}}.
\end{equation}
Hodnoty můžeme také využít k dopočítání rozpínavosti vzduchu
\begin{equation}
\gamma = \frac{1}{p}\left( \frac{\partial }{\partial T} \right)_{V} \simeq \frac{\Delta p}{p} \frac{1}{\Delta T}.
\end{equation} což můžeme přepsat na
\begin{equation} \gamma = \frac{\Delta h}{b\cdot t}, \label{egamma}\end{equation}
kde b je atmosfericky tlak v Torrech.
Při měření skupenského tepla varu vody využijeme kalorimetrickou rovnici.
\begin{equation}
(m-m_{v})l_{v}+mc(t_{varu} -t)+(m_kc+\kappa)(t_{0}-t)=0,
\end{equation} kde $c$ je měrná tepelná kapacita vody. Měrné skupenské teplo varu pak vyjádříme jako
\begin{equation}
l_{v}=\frac{(m_{k}+\kappa)(t-t_{0})-mc(t_{varu}-t) }{m-m_{v}}. \label{elv}
\end{equation}
Chybí nám ale tepelná kapacita kalorimetru, kterou musíme změřit. K tomu nám pomůže jiná kalorimetrická rovnice
\begin{equation}
(m_{1}c+\kappa)(t_{1}-t)+m_{2}c(t_{2}-t)=0,
\end{equation} ze které vyjádříme kapacitu kalorimetru.
\begin{equation}
\kappa = \frac{m_{2}c(t-t_{2})}{(t_{1}-t)}-m_{1}c. \label{ekappa}
\end{equation}
\section{Postup měření}
\subsection{Kalibrace rtuťového teploměru plynovým teploměrem}
Nejdříve jsme měřící bańku plynového teploměru ochladili při atmosférickém tlaku uvnitř, po vyrovnání teplot jsme uzavřeli ventil spojující vnitřní objem teploměru s vnější atmosférou a začali postupně zvyšovat teplotu lázně zhruba po 10 $^\circ C$. Vždy při odečítání hodnot ale bylo nutné udržovat konstantní objem plynu v teploměru což bylo zařízeno udržováním hladiny rtuti v otevřeném manometru na špičce skleněného hrotu.
Během měření byl atmosférický tlak $b = (743,6 \pm 0,1) Torr$ . Naměřenou závislost jsme vynesli do grafu \ref{korekce}. A tím zjistili směrnici přímky $a = (2,5 \pm 0,05) m/^\circ C$ a spočítali tak i rozpínavost vzduchu $a = (3,48 \pm 0,07)10^{-3} /K$.
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
$h_l [mm]$ & $t_s [^\circ C]$ & $\Delta h [mm]$ & $t_m [^\circ C]$ & $\Delta t [^\circ C]$ & $\delta_t [\%]$ \\ \hline
138 & 0,0 & 0 & 0,0 & 0 & 0 \\ \hline
167 & 11,2 & 29 & 12,1 & -0,86 & 7,13 \\ \hline
202 & 24,2 & 64 & 26,6 & -2,41 & 9,07 \\ \hline
218 & 30,1 & 80 & 33,3 & -3,17 & 9,52 \\ \hline
257 & 43,2 & 119 & 49,5 & -6,29 & 12,7 \\ \hline
303 & 62,2 & 165 & 68,6 & -6,42 & 9,35 \\ \hline
329 & 72,0 & 191 & 79,4 & -7,43 & 9,35 \\ \hline
342 & 87,2 & 204 & 84,8 & 2,37 & 2,79 \\ \hline
377 & 99,39 & 239 & 99,39 & 0 & 0 \\ \hline
\end{tabular}
\end{center}
\caption{Kalibrace rtutového teploměru plynovým teploměrem}
\label{kalibrace}
\end{table}
\begin{figure}
\begin{center}
\includegraphics [width=150mm] {teplomer_char.pdf}
\end{center}
\caption{Hodnoty naměřené na plynovém a rtuťovém teploměru}
\label{korekce}
\end{figure}
\subsection{Měření měrného skupenského tepla varu vody}\
K tomuto měření bylo třeba nejdříve změřit tepelnou kapacitu kalorimetru, použili jsme v návodu doporučenou metodu a kapacita nám vyšla $\kappa = (90 \pm 7) J/kg K$. S touto znalostí, jsme pak již nechali ohřívat vodní náplň v kalorimetru párou probublávající z kotlíku s vroucí vodou. Po změření rozdílu teplot a zvážení zkondenzované vody jsme pak mohli určit měrné skupenské teplo varu vodu jako $l_v = (2,6 \pm 0,3) MJ/kg$.
\section{Diskuse}
V návodu k úloze \cite{var_vody} je doporučen postup měření tepelné kapacity kalorimetru využívající časovou závislost vývoje teploty. Vzhledem k našim podmínkám je ale tento postup zbytečně přesný (Máme dobře izolovaný kalorimetr).
\section{Závěr}
Součinitel rozpínavosti plynů jsme určili s relativní chybou 4,9 \% vzhledem k tabulkové hodnotě. A měrné skupenské teplo varu vody jsme proti tabulkové hodnotě $l_v = 2,257 MJ/kg$ určili s chybou 15\%.
\begin{thebibliography}{99}
\bibitem{var_vody}{Zadání úlohy 5 - Měření měrného skupenského tepla varu vody}. \href{http://praktika.fjfi.cvut.cz/SkupTepVaru/}{http://praktika.fjfi.cvut.cz/SkupTepVaru/}
\end{thebibliography}
\end{document}

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