Ka'idar kinetic na gas - matsaloli da mafita

1. Ina sarrafa iskar gas a cikin akwati mai rufewa da farko suna da girma V da matsin lamba P. Idan matsin lamba na ƙarshe shine 4P kuma girman ya kasance daidai, menene rabon kuzarin motsi na farko da ƙarfin motsi na ƙarshe.

An sani:

Matsi na farko (P1 ₎ = P

Matsi na ƙarshe (P2 ₎ = 4P

Ƙarar farko (V1 ₎ = V

Ƙarar ƙarshe (V ₂ ) = V

Ana so: Rabon kuzarin motsi na farko zuwa makamashin motsi na ƙarshe (K E ₁ : K E ₂ )

Magani:

Alaƙa tsakanin matsin lamba (P), girma (V) da kuzarin motsi (KE) na iskar gas masu kyau :

Rabon kuzarin motsi na farko zuwa makamashin motsi na ƙarshe:

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2. Menene matsakaicin kuzarin motsi na translational na ƙwayoyin halitta a cikin iskar gas mai kyau a 57 ^oC.

An sani:

Zafin iskar gas (T) = 57 ^o C + 273 = 330 Kelvin

Boltzmann 's constant (k) = 1.38 x 10 ^-23 Joule/Kelvin

Ana so: Matsakaicin kuzarin motsi na fassara

Magani:

Alaƙa tsakanin kuzarin motsi (KE) da zafin iskar gas (T):

Matsakaicin kuzarin motsi na fassara:

[irp]

3. Iskar gas a 27 ^oC a cikin akwati mai rufewa . Idan kuzarin motsi na iskar gas ya karu sau biyu na kuzarin motsi na farko, don haka zafin ƙarshe na iskar gas ɗin shine …

An sani:

Zafin farko (T ₁ ) = 27 ^o C + 273 = 300 K

Makamashin motsi na farko = KE

Ƙarfin motsi na ƙarshe = 4 K E

Ana so: Zafin jiki na ƙarshe ( _T2 )

Magani:

[irp]

4. Iskar gas mai kyau tana cikin akwati mai rufewa, ana dumama ta yadda matsakaicin saurin barbashi na gas na ƙarshe ya ƙaru da sau 3 matsakaicin saurin farko. Idan zafin iskar gas na farko ya kai 27 ^oC , to zafin ƙarshe na iskar gas mai kyau shine…

An sani:

Zafin farko = 27 ^o C + 273 = 300 Kelvin

Saurin farko = v

Saurin ƙarshe = 2v

Ana so : Zafin iskar gas mai kyau na ƙarshe

Magani:

Matsakaicin gudu na ƙarshe = 2 x matsakaicin gudu na farko

[irp]

5. Moles uku na iskar gas suna cikin sararin juzu'i na lita 36. Kowace kwayar iskar gas tana da kuzarin motsi na Joules 5 x 10 ^-21 . Madaidaitan iskar gas na duniya = 8.315 J/mole.K da kuma madaidaitan Boltzmann = 1.38 x 10 ^-23 J/K. Menene matsin lamba na iskar gas a cikin akwati.

An sani:

Adadin moles (n) = moles 3

Ƙarar = lita 36 = 36 dm ³ = 36 x 10 ^-3 m ³

Madaidaitan Boltzmann (k) = 1.38 x 10 ^-23 J/K

Makamashin motsi (KE) = Joules 5 x 10 ^–21

Daidaiton iskar gas na duniya (R) = 8.315 J/mole.K

Ana nema : Matsi na iskar gas (P)

Magani:

Lissafa zafin jiki ta amfani da lissafin kuzarin motsi na iskar gas.

Lissafin matsin lamba na iskar gas ta amfani da lissafin th na dokar iskar gas mai kyau (a cikin adadin moles, n):

PV = n RT

P (36 x 10 ^-3 ) = (3)(8.315)(241.5)

P (36 x 10 ^-3 ) = 6024.22

Matsin iskar gas shine 1.67 x 10 ⁵ Pascal ko kuma 1.67 yanayi.