Tauira o ngā pātai hurihanga tauine pāmahana: tauine Celsius, tauine Fahrenheit, tauine Kelvin

6 Ngā tauira o ngā pātai hurihanga pāmahana: te tauine Celsius, te tauine Fahrenheit, te tauine Kelvin

1. 50^oC = … ^oF?
Kōrero
I te pēhanga hau o te 1 āhuarangi, ko te pāmahana hukapapa mō te inemahana Celsius he 0.^oC, engari te whakamahana Ko te tauine Fahrenheit he 32^oF. I te pēhanga hau o te 1 āhuarangi, ko te pāmahana pūwāhi kohu mō te inemahana Celsius he 100^oC, ko te inemahana o te tauine Fahrenheit he 212^oF.
Nō reira, 0^oC=32^oF me te 100^oC=212^oF.

^{I te tauine Celsius, e 100 ngā nekehanga} i waenga i te 0 ^° C me te 100 ^° C . I te tauine Fahrenheit, e 180 ^{ngā nekehanga i waenga i te 32 °} F me te 212 ^° F . Hei whiwhi i te pāmahana Fahrenheit (T ^° F), whakareatia te pāmahana Celsius (T ^° C) ki te 9/5, kātahi ka tāpirihia te 32 ^°C.

T^oF = (180/100) T^oC + 32
T^oF = (9/5) T^oC + 32
T^oF = (9/5) 50 + 32
T^oF = (9) 10 + 32
T^oF = 90 + 32
T^oF = 122

50 ^° C = 122 ^° F

2. 86^oWh = ….. ^oC?
Kōrero
Hei whiwhi i te pāmahana i te tauine Celsius (T^oC), whakaitihia te pāmahana i te tauine Fahrenheit mā te 32 (T^oF – 32) kātahi ka whakareatia ki te 5/9.

T^oC = (100/180)(T^oF – 32)
T^oC = (5/9)(T^oF – 32)
T^oC = (5/9)(86 – 32)
T^oC = (5/9)(54)
T^oC = (5)(6)
T^oC=30

He rite te 86 ^{o Fahrenheit ki te 30 o} Celsius

3. 50^oC = ….. K ?
Kōrero
T = T ^oC + 273
T = 50 + 273
T = 323

50°C = 323 Kelvin

4. 212^oF = ….. K ?
Kōrero
Tahurihia te pāmahana i te tauine Fahrenheit ki te tauine Celsius, kātahi ka tahuri i te pāmahana i te tauine Celsius ki te tauine Kelvin.
T^oC = (100/180)(T^oF – 32)
T^oC = (5/9)(T^oF – 32)
T^oC = (5/9)(212 – 32)
T^oC = (5/9)(180)
T^oC = (5)(20)
T^oC=100

He rite te pāmahana o te 212 ^{o Fahrenheit ki te 100 o} Celsius

T = 100 + 273
T = 373 Kelvin

5. x ^oC = x ^oF
x = ….. ?
Kōrero
Tikanga 1: Te whakamahi Tātai tahuritanga tauine Celsius ki te tauine Fahrenheit

Tikanga 2: Te whakamahi i te tātai tahuritanga tauine Fahrenheit ki Celsius

6. E ine ana tētahi ākonga i te pāmahana o te wai mā te whakamahi i ngā inemahana e rua e whakaaturia ana i te pikitia. Mena ko te pāmahana wai i inehia i runga i te inemahana Celsius e rite ana ki te pikitia, ko te pāmahana i runga i te inemahana Fahrenheit ko….

A. 60^oF

B. 108 ^o F

C. 140 ^° F

D. 172 ^o F

Kōrero

Ko te pāmahana hukapapa mō te inemahana Celsius he 0 ^° C, ko te inemahana Fahrenheit ia he 32 ^° F. Ko te pāmahana mamaoa mō te inemahana Celsius he 100 ^° C, ko te inemahana Fahrenheit ia he 212 ^° F.

Nō reira, ko te 0 ^° C = 32 ^° F me te 100 ^° C = 212 ^° F.

I te tauine Celsius, i waenga i te 0^oC ki te 100^oKei roto i te C te 100^o. I te tauine Fahrenheit, i waenganui i te 32^oF ki te 212^oKei roto i te F te 180^o. Hei whiwhi i te pāmahana i te tauine Fahrenheit (T^oF), whakareatia te pāmahana ki te tauine Celsius (T^oC) me te 9/5 kātahi ka tāpirihia te 32^o

Ki ^te F = (180/100) Ki ^te C + 32

Ki ^te F = (9/5) Ki ^te C + 32

Ki ^te F = (9/5) 60 + 32

Ki ^te F = (9) 12 + 32

Ki ^te F = 108 + 32

Ki ^te F = 140

60 ^° C = 140 ^° F

Ko te whakautu tika ko C.