He tauira mō te whakamahi i te ture tuatahi o te thermodynamics ki tētahi tukanga isochoric (rōrahi pumau)

3 Ngā tauira pātai mō te whakamahinga o te ture tuatahi o te thermodynamics i roto i ngā tukanga isochoric (rōrahi pumau)

1. Kauwhata o te pēhanga (P) ki te rōrahi (V) o tētahi hau e pāngia ana e te tukanga isochoric. Ko te mahi i mahia e te hau i roto i te tukanga AB ko…

Kōrero
Tukanga AB = tukanga isochoric (rōrahi pumau). I te rōrahi isochoric, kāore te rōrahi o te hau (me te rōrahi o te wāhi) e rerekē, nō reira kāore he mahi e mahia ana e te hau.

2. E toru ngā mole o te hau monoatomic i te pāmahana o te 47^oC me te pēhanga 2 x 10⁵ Ka pāngia a Pascal e te tukanga isochoric tae noa ki te pikinga o te pēhanga ki te 3 x 10⁵ Pascal. Ko te huringa o te pūngao ā-roto o te hau ko… Pūmau hau whānui (R) = 8,315 J/mol.K
Kōrero
E mōhiotia ana :
Te pāmahana tīmatanga (T₁) = 47^oC + 273 = 320 K
Pēhanga tuatahi (P₁) = 2 x 10⁵ Pa
Pēhanga whakamutunga (P₂) = 3 x 10⁵ Pa
Pūmau hau whānui (R) = 8,315 J/mol.K
Te maha o ngā mole (n) = 3
I pātaihia Ngā huringa o te pūngao i roto i te hau
Whakautu :
I roto i tētahi tukanga isochoric, ka noho pūmau te rōrahi, nō reira kāore he mahi e mahia ana e te hau (W = 0).
Ture Tuatahi o te Thermodynamics :
I runga i te pūtake o tēnei tātai, ka whakatauhia i roto i tētahi tukanga isochoric, ko te wera e tāpirihia ana ki te pūnaha (Q) ka piki ake te pūngao ā-roto o te pūnaha (U). I tētahi atu taha, ko te wera e tukuna ana e te pūnaha ka heke iho te pūngao ā-roto o te pūnaha. E hia te nui o te huringa o te pūngao ā-roto o te hau? Ka tatauhia te huringa o te pūngao ā-roto o te hau mā te whakamahi i te tātai pūngao ā-roto i raro nei.
Pūngao i roto i te hau :
Hei tatau i te huringa o te pūngao ā-roto, me mōhio te pāmahana whakamutunga (T).₂). Tātaihia a T₂ mā te whakamahi i te ture a Gay-Lussac.
Te ture a Gay-Lussac (rōrahi isochoric/pūmau) :
Tātaihia te huringa o te pūngao i roto i te hau:
Ko te huringa o te pūngao ā-roto o te hau he 5986,8 Joules.

3. He 0,2 mole katoa o te hau monoatomic i te pāmahana o te 27^oKei roto a C i tētahi oko kua kati. Ko te wera me mimiti hei whakanui ake i te pāmahana o te hau ki te 400 K ko… Pūmau hau whānui (R) = 8,315 J/mol.K
Kōrero
E mōhiotia ana :
Te maha o ngā mole (n) = 0,2 mol
Te pāmahana tīmatanga (T₁) = 27^oC + 273 = 300 K
Te pāmahana whakamutunga (T₂) = 400 K
Pūmau hau whānui (R) = 8,315 J/mol.K
I pātaihia : Te wera e mimitia ana (Q)
Whakautu :
I roto i tētahi tukanga isochoric, ka noho pūmau te rōrahi, nō reira kāore he mahi e mahia ana e te hau (W = 0).
Ture Tuatahi o te Thermodynamics :
Te wera e mimitia ana (Q) = te pikinga o te pūngao ā-roto o te hau (U). Ka tatauhia te huringa o te pūngao ā-roto o te hau mā te whakamahi i te tātai pūngao ā-roto i raro nei.
Pūngao i roto i te hau :
Te wera e mimitia ana e te hau = te huringa o te pūngao ā-roto = 249,45 Joule.