Misali na amfani da dokar farko ta thermodynamics ga tsarin isothermal (zafin jiki mai ɗorewa)

Misalai 5 na amfani da dokar farko ta thermodynamics ga hanyoyin isothermal (zafin jiki mai ɗorewa)

1. Jadawalin da ke ƙasa yana nuna ingantaccen iskar gas da ake sha Tsarin isothermal (tsarin aiki). Aikin da iskar gas ke yi a cikin tsarin AB shine…
Misali na amfani da dokar farko ta thermodynamics zuwa tsarin isothermal mai ɗorewa a yanayin zafi 1Tattaunawa
An gama aikin = yankin da ke ƙarƙashin lanƙwasa AB = yankin alwatika + yankin murabba'i mai kusurwa huɗu
W = [½ (8 x 10)5–4 x 105)(3-1)] + [4 x 105 (3-1)]
W = [½ (4 x 10)5)(2)] + [4 x 105 (2)
W = [4 x 105] + [8 x 105]
W = 12 x 105 Joule
Aikin da iskar gas ta yi a cikin tsarin AB = 12 x 105 Joule

2. Aikin da iskar gas mai kyau ke yi a cikin ABC shine…
Misali na amfani da dokar farko ta thermodynamics zuwa tsarin isothermal mai ɗorewa a yanayin zafi 3Tattaunawa
An sani :
Matsi na 1 (P)1= 10 x 105 N / m2
Matsi na 1 (P)1= 5 x 105 N / m2
Juzu'i na 1 (V)1) = lita 10 = 10 dm3 = 10 x10-3 m3
Juzu'i na 2 (V)2) = lita 30 = 30 dm3 = 30 x 10-3 m3
An tambaya : Aikin da iskar gas ke yi a tsarin ABC
Jawab :
A cikin tsarin BC, ƙarar ta kasance ba ta canzawa, don haka babu wani aiki da gas ɗin ke yi. Iskar gas ɗin tana aiki ne kawai a cikin tsarin AB saboda akwai canji a cikin girma. Saboda haka, aikin da gas ɗin ke yi a cikin tsari ABC = aikin da gas ɗin ke yi a cikin tsari AB.
Aikin da gas ke yi = yanki a ƙarƙashin lanƙwasa AB = yankin alwatika + yankin murabba'i mai kusurwa huɗu.
W = [½(10×10)5–5×105)(30-10)]+[5×105(30-10)]
W = [½ (5 x 10)5)(20)] + [5 x 105 (20)
W = [(5 x 105)(10)] + [100 x 105]
W = [50 x 105]+ [100 x 105]
W = 150 x 105 Joule
W = 1,5 x 107 Joule

3. Iskar gas tana yin aikin isothermal. Adadin zafi da dole ne a sha domin iskar ta yi aikin joules 5000 shine…
Tattaunawa
An sani :
Aiki (W) = Joules 5000
An tambaya : Sha da zafi (Q)
Jawab :
Tsarin isothermal da aka ambata a cikin wannan tambayar tsari ne na thermodynamic wanda zafin jiki yake ci gaba da kasancewa akai-akai. Alaƙar da ke tsakanin zafin jiki (T) da canjin makamashin ciki na iskar gas ana bayyana ta ta hanyar lissafi mai zuwa:
Misali na amfani da dokar farko ta thermodynamics ga tsarin isothermal (zafin jiki mai ɗorewa) - 3Idan zafin jiki ya kasance mai daidaito, to canjin zafin jiki sifili ne. Canjin zafin jiki sifili ne, saboda haka, canjin makamashin ciki sifili ne. Amfani da dokar thermodynamics ta farko yana haifar da sakamako masu zuwa.
Dokar farko ta thermodynamics :
Misali na amfani da dokar farko ta thermodynamics ga tsarin isothermal (zafin jiki mai ɗorewa) - 4Idan canjin makamashin ciki (U) sifili ne to zafin (Q) da iskar gas ke sha daidai yake da aikin da iskar gas (W) ke yi. Lokacin da iskar gas ta sha zafi, iskar gas ɗin tana samun ƙarin makamashi kuma iskar gas ɗin tana amfani da wannan ƙarin makamashin don yin aiki.
Don haka zafin da iskar gas ke sha = aikin da iskar gas ke yi = Joules 5000.

4. An nuna jadawalin matsin lamba (P) akan girma (V) na iskar gas da ke fuskantar tsarin isothermal a cikin hoton da ke ƙasa. Adadin zafi da iskar gas ke sha a cikin tsarin AB shine…

Misali na amfani da dokar farko ta thermodynamics ga tsarin isothermal (zafin jiki mai ɗorewa) - 5Tattaunawa
An sani :
Matsi na 1 (P)1) = 5 atm = 5 x 105 Pa
Matsi na 2 (P)2) = 10 atm = 10 x 105 Pa
Juzu'i na 1 (V)1= 2m3
Juzu'i na 2 (V)2= 6m3
An tambaya : Zafi (Q) da iskar gas ke sha a lokacin da ake sarrafa AB
Jawab :
Isothermal = yanayin zafi mai ɗorewa. Idan zafin ya kasance mai ɗorewa, canjin zafin jiki sifili ne. Idan canjin zafin jiki sifili ne, canjin makamashin ciki sifili ne. Alaƙar da ke tsakanin canjin zafin jiki da canjin makamashin ciki a cikin iskar gas ana bayyana ta ta hanyar lissafi mai zuwa:
Misali na amfani da dokar farko ta thermodynamics ga tsarin isothermal (zafin jiki mai ɗorewa) - 6Idan aka yi amfani da shi a dokar farko ta thermodynamics, ana samun sakamako masu zuwa:
Misali na amfani da dokar farko ta thermodynamics ga tsarin isothermal (zafin jiki mai ɗorewa) - 7Idan canjin zafin jiki sifili ne, to zafin da iskar gas ke sha daidai yake da aikin da iskar gas ke yi. Don nemo zafin da iskar gas ke sha a cikin tsarin AB, muna ƙididdige aikin da iskar gas ɗin ke yi bisa ga jadawalin da ke sama.
Aikin da gas ke yi = yanki a ƙarƙashin lanƙwasa AB = yankin alwatika + yankin murabba'i mai kusurwa huɗu.
W = ½ (P)2 - P1)(V2 - V1) + P1(V2 - V1)
W = ½ (10 x 10)5 - 5 x 105)(6-2) + (5 x 10)5)(6-2)
W = ½ (5 x 10)5)(4) + (5 x 10)5(4)
W = ½ (20 x 10)5(20 x 10.)5)
W = (10 x 105(20 x 10.)5)
W = 30 x 105 Joule
W = atm 30
Zafi (Q) da iskar gas ke sha a cikin tsari AB = aikin da iskar gas ke yi a cikin tsari AB = 30 x 105 Joule = yanayi 30.

5. A cikin thermodynamics, iskar gas mai kyau tana fuskantar tsarin isothermal idan...

A. canje-canje a yanayin iskar gas, zafin jiki koyaushe yana nan daidai
B. duk kwayoyin halitta suna motsawa a cikin sauri daban-daban
C. Duk yanayin iskar gas koyaushe yana canza yanayin zafi
D. a kan zafin jiki mafi girman saurin kwayoyin halitta
E. matsin lamba da ƙarar iskar gas ba sa canzawa

Tattaunawa

Isothermal ko isothermic yana nufin yanayin zafi mai ɗorewa.
Amsar da ta dace ita ce A.

 

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