14 Dokar Boyle Dokar Charles Dokar Gay-Lussac – Matsaloli da Magani
1. Matsin iska na tayar mota shine 432 kPa tare da zafin jiki na 1 5 oC . Bayan awanni da yawa, matsin iska shine 492 kPa. Idan aka yi watsi da faɗaɗawa , menene zafin iska a cikin tayar?
An sani:
Matsi na farko (P1 ) = 432 kPa
Matsi na ƙarshe (P2 ) = 492 kPa
Zafin farko (T1 ) = 15 oC
Ana so: Zafin ƙarshe ( T2 )
Magani:
Daidaiton dokar Gay-Lussac :
2. Iskar gas mai kyau a cikin akwati mai rufewa mai girman V, matsin lamba P, da zafin jiki T. Idan girmansa ya ninka sau ½ na girman farko kuma zafinsa ya ninka sau 4 na zafin farko , menene matsin lamba a cikin tsarin.
An sani:
Girman farko na iskar gas (V1 ) = V
Ƙarar gas ta ƙarshe (V2 ) = ½ V
Zafin farko na iskar gas (T1 ) = T
Zafin ƙarshe na iskar gas (T2 ) = 4T
Matsin iskar gas na farko (P1 ) = P1
Ana so: Matsi na ƙarshe na iskar gas ( P2 )
Magani:
3. Iskar gas mai kyau da farko a cikin akwati mai girman V, zafin jiki T, da matsin lamba P. Idan an yi zafi da iskar gas don haka zafinta ya zama 3/2 T kuma matsin lambarta ya zama 4/3 P, menene girman gas ɗin.
An sani:
Girman farko na iskar gas (V1 ) = V
Zafin farko na iskar gas (T1 ) = T
Zafin gas ɗin ƙarshe (T2 ) = 3/2 T
Matsin iskar gas na farko (P1 ) = P
Matsi na ƙarshe na iskar gas (P2 ) = 4/3 P
Ana buƙata: Ƙarar gas ta ƙarshe ( V2 )
Magani:
4. Iskar gas mafi kyau da farko a cikin akwati mai girman V da matsin lamba P. Idan zafin iskar gas ya zama 5/4 T kuma girmansa ya zama ¾ V, menene matsin lamba na ƙarshe na iskar gas.
An sani:
Girman farko na iskar gas (V1 ) = V
Ƙarar gas ta ƙarshe (V2 ) = 3/4 V
Zafin farko na iskar gas (T1 ) = T
Zafin gas ɗin ƙarshe (T2 ) = 5/4 T
Matsin iskar gas na farko (P1 ) = P
Ana so: Matsi na ƙarshe na iskar gas ( P2 )
Magani:
5. Iskar gas mafi kyau da farko a cikin akwati mai girman V a zafin jiki T da matsin lamba P. Idan zafin iskar gas ya zama 3/2 T kuma matsin lambarsa ya zama 2P, menene girman gas na ƙarshe.
An sani:
Girman farko na iskar gas (V1 ) = V
Zafin farko na iskar gas (T1 ) = T
Zafin gas ɗin ƙarshe (T2 ) = 3/2 T
Matsin iskar gas na farko (P1 ) = P
Matsi na ƙarshe na iskar gas (P2 ) = 2P
Ana buƙata: Ƙarar gas ta ƙarshe ( V2 )
Magani:
6. Da farko ina sarrafa iskar gas a cikin akwati mai girman V a zafin jiki T da matsin lamba P. Idan zafin iskar gas ya zama 2T kuma matsin lamba na iskar gas ya zama 3/2 P, menene girman gas na ƙarshe.
An sani:
Ƙarar farko (V1 ) = V
Zafin farko (T 1 ) = T
Matsi na farko (P1 ) = P
Zafin ƙarshe (T2 ) = 2T
Matsi na ƙarshe (P2 ) = 3/2 P
Ana buƙata: Ƙarar gas ta ƙarshe ( V2 )
Magani:
7. Zafin farko na iskar gas mai kyau a cikin akwati mai rufewa shine 27°C. Idan matsin lamba na ƙarshe ya ninka matsin lamba na farko sau 4, menene zafin ƙarshe na akwatin?
Magani:
Akwati mai rufewa = ƙarar da ta dace = tsarin isochoric
An sani:
Zafin iskar gas na farko (T 1 ) = 27 o C + 273 = 300 K
Matsin iskar gas na farko (P1 ) = P
Matsi na ƙarshe na iskar gas (P2 ) = 4P
Ana so: Zafin gas na ƙarshe ( T2 )
Magani:
8. A cikin akwati mai rufewa, girman iskar gas yana faɗaɗa zuwa sau 2 na girman farko (Vo = girman farko , Po = matsin lamba na farko ) kuma zafin iskar gas ya ninka zafin farko sau 4. Menene matsin lamba na ƙarshe na iskar gas?
An sani:
Ƙarar iskar gas ta farko (V1 ) = V o
Ƙarar gas ta ƙarshe (V2 ) = 2V o
Zafin farko na iskar gas (T1 ) = T
Zafin ƙarshe na iskar gas (T2 ) = 4T
Matsin iskar gas na farko (P1 ) = P o
Ana so: Matsi na ƙarshe na iskar gas ( P2 )
Magani:
9. Iskar gas mai kyau a cikin kwantena da aka rufe da farko a zafin digiri 27 na Celsius. Idan matsin lamba na ƙarshe ya ninka matsin lamba na farko sau 4 , menene zafin akwatin?
Magani:
Akwati mai rufewa = ƙarar da ta dace = tsarin isochoric.
An sani:
Zafin iskar gas na farko (T 1 ) = 27 o C + 273 = 300 K
Matsin iskar gas na farko (P1 ) = P
Matsi na ƙarshe na iskar gas (P2 ) = 4P
Ana so: Zafin gas na ƙarshe ( T2 )
Magani:
1 0. Iskar gas mai kyau tana shiga tsarin isothermal , don haka matsin lambarsa ya ninka matsin lamba na farko sau biyu . Menene girman ƙarshe?
Isothermal = yanayin zafi mai ɗorewa
An sani:
Girman farko na iskar gas (V1 ) = V
Matsin iskar gas na farko (P1 ) = P
Matsi na ƙarshe na iskar gas (P2 ) = 2P
Ana buƙata: Ƙarar gas ta ƙarshe ( V2 )
Magani:
P 1 V 1 = P 2 V 2
PV = (2P) V 2
V = (2) V 2
V 2 = V / 2
V 2 = ½ V
11. Iskar gas mai kyau a cikin akwati mai rufewa tare da matsin lamba P, girma V da zafin jiki T. Zafin ƙarshe shine 2T kuma ƙarar ƙarshe ita ce 3/2 V. Menene rabon matsin lamba na farko (P1) zuwa matsin lamba na ƙarshe (P2).
An sani:
Matsi na farko ( P1 ) = P
Ƙarar farko (V1 ) = V
Ƙarar ƙarshe (V 2 ) = 3/2 V
Zafin farko (T 1 ) = T
Zafin ƙarshe (T2 ) = 2T
Ana so: Rabon matsin lamba na farko (P1 ) zuwa matsin lamba na ƙarshe ( P2 )
Magani:
Rabon matsin lamba na farko zuwa matsin lamba na ƙarshe:
P 1 : P 2
P: 4P/3
1: 4/3
3 (1): (3) 4/3
3: 4
1 2. Iskar oxygen mai girman V, zafin jiki T da matsin lamba P a cikin akwati mai rufewa. Ƙarar ƙarshe ta iskar oxygen shine 3/4 V kuma zafin ƙarshe shine 3/2 T. Menene rabon matsin lamba na farko da matsin lamba na ƙarshe.
An sani:
Matsi na farko (P1 ) = P
Ƙarar farko (V1 ) = V
Ƙarar ƙarshe (V 2 ) = 3/4 V
Zafin farko (T 1 ) = T
Zafin ƙarshe (T2 ) = 3/2 T
Ana so: Rabon matsin lamba na farko (P1 ) zuwa matsin lamba na ƙarshe ( P2 )
Magani:
Rabon matsin lamba na farko zuwa matsin lamba na ƙarshe:
P 1 : P 2
P: 2P
1: 2
13. Iskar gas mai kyau da farko a cikin akwati mai girman V, zafin T da matsin lamba na P. Idan aka yi zafi da iskar gas mai kyau don haka zafinta ya zama 3/2 T kuma matsin lambarta ya zama 4/3 P, to menene girman ƙarshe na iskar gas mai kyau.
An sani:
Ƙarar farko (V1 ) = V
Zafin farko (T 1 ) = T
Matsi na farko (P1 ) = P
Zafin ƙarshe (T2 ) = 3/2 T
Matsi na ƙarshe (P2 ) = 4/3 P
Ana so: Juzu'i na ƙarshe (V 2 )
Magani:
14. Iskar gas mai kyau a cikin akwati mai girman V1, zafin jiki na T1 da matsi na P1. Sannan ana dumama iskar gas don haka ƙarar sa ta zama mai yawa 4 / 3 V1 kuma matsin lambarsa ya zama 5/2 P1. Ƙayyade ckwatantawa karshe yanayin zafida kumada kuma farkon zafin iskar gas.
An sani:
Ƙaramin farko = V 1
Zafin farko = T 1
Matsi na farko = P 1
Ƙarar ƙarshe = 4/3 V 1
Matsi na ƙarshe = 5/2 P 1
Ana so: kwatanta zafin jiki na ƙarshe da zafin jiki na farko na iskar gas
Magani:
