1. 1-kg wai ma 100 o C i hui pū ʻia me 1-kg wai ma 10 o C i loko o kahi ʻōnaehana i hoʻokaʻawale ʻia. ʻO ka wela kikoʻī o ka wai he 4200 J/kg o C. E hoʻoholo i ka mahana hope loa o ka hui ʻana!
ʻIke ʻia:
Ka nui o ka wai wela (m1 ) = 1 kg
Mahana o ka wai wela (T 1 ) = 100 o C
Ka nuipa o ka wai anuanu (m2 ) = 1 kg
Mahana o ka wai anuanu (T 2 ) = 10 o C
Makemake ʻia: ʻO ka mahana hope loa (T)
Lōlā:
Wela i nalowale = Wela i loaʻa (ʻōnaehana kaʻawale)
mc ΔT = mc ΔT
m ΔT = m ΔT
m1 ( T1 – T ) = m2 ( T – T2 )
(1)(100 – T) = (1)(T – 10)
100 – T = T – 10
100 + 10 = T + T
110 = 2T
T = 110 / 2
T = 55
ʻO ka mahana hope loa he 55 o C.
ʻAʻole maopopo
2. He poloka kēpau 3 kg ma 80o i kau ʻia i loko o 10 kg o ka wai. ʻO ka wela kikoʻī o ke kēpau he 1400 J.kg-1C-1 a ʻo ka wela kikoʻī o ka wai he 4200 J.kg-1C-1ʻO ka mahana hope loa ma ke kaulike wela 20oC. E hoʻoholo i ka mahana mua o ka wai!
ʻIke ʻia:
Nuipaʻa (m1 ) = 3 kg
ʻO ka wela kikoʻī o ke kēpau (c 1 ) = 1400 J.kg -1 C -1
ʻO ka mahana o ke kēpau (T 1 ) = 80 o C
Ka nui o ka wai (m2 ) = 10 kg
ʻO ka wela kikoʻī o ka wai (c 2 ) = 4200 J.kg -1 C -1
ʻO ka mahana o ke kaulike wela (T) = 20 o C
Makemake ʻia: ʻO ka mahana mua o ka wai (T 2 )
Lōlā:
Wela i nalowale = Wela i loaʻa
Q kēpau = Q wai
m 1 c 1 ΔT = m 2 c 2 ΔT
(3)(1400)(80-20) = (10)(4200)(20-T)
(4200)(60) = (42,000)(20-T)
252,000 = 840,000 – 42,000 T
42,000 T = 840,000 – 252,000
42,000 T = 588,000
T = 588,000 / 42,000
T = 14
ʻO ka mahana mua o ka wai he 14 ° C.
ʻAʻole maopopo
3. He poloka keleawe ma 100oC i hoʻokomo ʻia i loko o 128 grams o ka wai ma 30 oC. ʻO ka wela kikoʻī o ka wai 1 cal.g-1oC-1 a ʻo ka wela kikoʻī o ke keleawe 0.1 cal.g-1oC-1. Inā ʻo ka mahana o ke kaulike wela 36 oC, e hoʻoholo i ka nui o ke keleawe!
ʻIke ʻia:
ʻO ka mahana o ke keleawe (T 1 ) = 100 o C
ʻO ka wela kikoʻī o ke keleawe (c 1 ) = 0.1 c al.g -1o C -1
Ka nui o ka wai (m2 ) = 128 grams
Mahana o ka wai (T 2 ) = 30 o C
ʻO ka wela kikoʻī o ka wai (c 2 ) = 1 c al.g -1o C -1
ʻO ka mahana o ke kaulike wela (T) = 36 o C
Makemake ʻia: Nui o ke keleawe ( m1 )
Lōlā:
Wela i nalowale = Wela i loaʻa
Q keleawe = Q wai
m 1 c 1 ΔT = m 2 c 2 ΔT
(m 1 )(0.1)(100-36) = (128)(1)(36-30)
(m 1 )(0.1)(64) = (128)(1)(6)
(m 1 )(6.4) = 768
m 1 = 768 / 6.4
m1 = 120
ʻO ke kaumaha o ke keleawe he 120 grams.
ʻAʻole maopopo
4. He poloka hau M-kg ma 0oC i hoʻokomo ʻia i loko o 340 grams o ka wai ma 20oC i loko o kahi pahu wai. Inā ʻo ka wela o ka hoʻoheheʻe ʻana no ka wai = 80 kal g-1, ʻo ka wela kikoʻī o ka wai 1 kal g-1 oC-1. Hoʻoheheʻe ʻia nā hau a pau a me ka mahana o ke kaulike wela is 5oC, e hoʻoholo i ka nui o ka hau!
ʻIke ʻia:
Ka nuipa o ka wai (m) = 340 grams
ʻO ka mahana o ka hau (T hau ) = 0 o C
ʻO ka mahana o ka wai (T wai ) = 20 o C
ʻO ka mahana o ke kaulike wela (T) = 5 o C
ʻO ka wela o ka fusion no ka wai ( L ) = 80 c al g -1
ʻO ka wela kikoʻī o ka wai (c wai ) = 1 cal g -1 o C -1
Makemake ʻia: Nui o ka hau (M)
Lōlā:
Wela i nalowale = Wela i loaʻa
Wai Q = hau Q
m c ( ΔT) = m es L es + m c ( Δ T)
(340)(1)(20-5) = M (80) + M (1)(5-0)
(340)(15) = 80M + 5M
5100 = 85M
M = 5100/85
M = 60 grams
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