9 Ka nuipa wela Ka wela kikoʻī Ka loli o ka mahana - Nā pilikia a me nā hoʻonā
1. Ua hoʻomehana ʻia kahi kēpau 2 kg mai 50oC i ka 100oC. ʻO ka wela kikoʻī o ke kēpau 130 J.kg-1 oC-1. ʻehia wela ua omo ʻia e ke kēpau?
ʻIke ʻia:
Nuipaʻa (m) = 2 kg
ʻO ka wela kikoʻī (c) = 1 3 0 J.kg -1 C -1
ʻO ka loli o ka mahana ( ΔT ) = 100 o C – 50 o C = 50 o C
Makemake ʻia: Wela (Q)
Lōlā:
Q = mcΔT
Q = wela , m = nuipa, c = ka wela kikoʻī , Δ T = ka loli o ka mahana
ʻO ka wela i omo ʻia e ke kēpau:
Q = (2 kg)(1 3 0 J.kg -1 C -1 )(50 o C)
Q = (100)(1 3 0)
Q = 1 3,000 Joules
Q = 1.3 x 104 Joules
ʻAʻole maopopo
2. ʻO ka wela kikoʻī o ke keleawe he 390 J/k g o C, ʻo ka loli o ka mahana he 40 o C. Inā omo ke keleawe i 40 Joules o ka wela, he aha ke kaumaha o ke keleawe!
ʻIke ʻia:
ʻO ka wela kikoʻī o ke keleawe (c) = 390 J/k g o C
ʻO ka loli o ka mahana ( ΔT ) = 40 o C
Ka wela ( Q) = 40 J
Makemake ʻia: Nui (m) o ke keleawe
Lōlā:
Q = mcΔT
40 J = (m)( 390 J/k g o C)(40 o C)
40 = (m)( 390 /k g)(40)
40 = (m)( 390 /kg )(4)
40 = (m)( 1560 /kg )
m = 40 / 1560
m = 0.026 kg
m = 26 grams
3. ʻO ka mahana mua o 20 grams o ka wai he 30 o C. ʻO ka wela kikoʻī o ka wai he 1 cal g -1 o C -1 . Inā omo ka wai i 300 calories o ka wela, e hoʻoholo i ka mahana hope loa!
ʻIke ʻia:
Nuipaʻa (m) = 20 gr
ʻO ka mahana mua (T 1 ) = 30 o C
ʻO ka wela kikoʻī o ka wai (c) = 1 cal gr -1 o C -1
Ka wela (Q) = 300 kal
Makemake ʻia: Ka mahana hope loa o ka wai
Lōlā:
Q = mc ΔT
300 kal = (20 gr)( 1 kal gr -1 o C -1 )( T 2 -30 )
300 = (20)(1)( T 2 -30)
300 = 20 ( T 2 -30 )
300 = 20 T 2 – 600
300 + 600 = 20T 2
900 = 20T 2
T 2 = 900 / 20
T 2 = 45
ʻO ka loli o ka mahana he 45 o C – 30 o C = 15 o C.
ʻAʻole maopopo
4. Tka loli o ka mahana o ka wai kai is 1oC ke omo ka wai i 3900 Joules o ka wela. ʻO ka wela kikoʻī o ka wai kai 3.9 × 103 J/kg°C, he aha ke kaumaha o ka wai kai.
ʻIke ʻia:
ʻO ka loli o ka mahana ( ΔT ) = 1 o C
Ka wela (Q) = 3900 Joule
ʻO ka wela kikoʻī o ka wai kai (c) = 3.9 x 103 J/ k g°C = 3900 J/Kg°C
Makemake ʻia: Mass (m)
Lōlā:
Q = mcΔT
Q = wela , m = nuipa, c = wela kikoʻī , Δ T = ka loli o ka mahana
m = Q / c Δ T = 3900 / (3900)(1) = 3900 / 3900 = 1 kg
5. Hoʻopili ke keleawe 2-kg i 39,000 J o ka wela ma 30°C. Inā ʻo ka wela kikoʻī o ke keleawe he 390 J/kg °C, he aha ka mahana hope loa o ke keleawe…
ʻIke ʻia:
Nuipaʻa (m) = 2 kg
Mahana mua (T 1 ) = 30 o C
Ka wela (Q) = 39,000 Joule
Ka wela kikoʻī (c) o ke keleawe = 390 J/kg o C
Makemake ʻia : ʻO ka mahana hope loa (T 2 )
Lōlā:
Q = mc ΔT
Q = wela , m = nuipa, c = wela kikoʻī , ΔT = ka loli o ka mahana
Q = mc ΔT = mc (T 2 – T 1 )
39,000 = (2)( 390)(T 2 – 30)
100 = (2)(1)(T 2 – 30)
100 = (2)(T 2 – 30)
50 = T 2 – 30
T 2 = 50 + 30
T 2 = 80 o C
ʻAʻole maopopo
6. Ua hoʻomehana ʻia kahi wai 5-kg mai 15°C a i 40°C. He aha ka wela i omo ʻia e ka wai. ʻO ka wela kikoʻī o ka wai he 4.2 × 103 J /Kg° C.
ʻIke ʻia:
Nuipaʻa (m) = 5 kg
Mahana mua (T 1 ) = 15°C
Mahana hope loa (T 2 ) = 40°C
Ka wela kikoʻī o ka wai (c) = 4.2 × 103 J /kg° C
Makemake ʻia: Wela (Q)
Lōlā:
Q = mc ΔT
Q = (5 kg)( 4.2 × 103 J /kg°C)(40°C – 15°C)
Q = (5)( 4.2 × 103 J )(25)
Q = 525 x 10 3 J
Q = 525,000 Joule
7. Ua hoʻomehana ʻia kahi wai 2-kg mai 24°C a i 90°C. He aha ka wela i omo ʻia e ka wai. ʻO ka wela kikoʻī o ka wai he 4.2 × 103 J /Kg° C.
ʻIke ʻia:
Nuipaʻa (m) = 2 kg
Mahana mua (T 1 ) = 24°C
Mahana hope loa (T 2 ) = 90°C
Ka wela kikoʻī o ka wai (c) = 4,200 Joules/kg°C
Makemake ʻia :: Wela (Q)
Lōlā:
Q = mc ΔT
Q = (2 kg)( 4,200 Joules/kg°C)(90°C – 24°C)
Q = (2 kg)( 4,200 Joules/kg°C)(66°C)
Q = (132)( 4,200 Joules)
Q = 554,400 Joule
ʻAʻole maopopo
8. Ua hoʻomehana ʻia kahi wai 5-gram mai 10°C a i 40°C. He aha ka wela i omo ʻia e ka wai. ʻO ka wela kikoʻī o ka wai he 1 × 103 cal / g r ° C.
ʻIke ʻia:
Nuipaʻa (m) = 5 grams
Mahana mua (T 1 ) = 10 o C
Mahana hope loa (T 2 ) = 40 o C
Ka wela kikoʻī o ka wai (c) = 1 c al/ gr°C
Makemake ʻia : Wela
Lōlā:
Q = mc ΔT
Q = (5 grams)( 1 cal/gr°C)(40 o C – 10 o C)
Q = (5)( 1 c al)(30)
Q = 150 kaloli
9. Hoʻopili ka wai 0.2-kg i 42,000 Joules o ka wela ma 25 o C. ʻO ka wela kikoʻī o ka wai he 4200 J/kg o C, he aha ka mahana hope loa o ka wai.
ʻIke ʻia:
Ka nuipa o ka wai (m) = 0.2 kg
Ka wela (Q) = 42,000 Joule
Ka wela kikoʻī o ka wai (c) = 4200 J/kg o C
Mahana mua (T 1 ) = 25 o C
Makemake ʻia: Mahana hope loa (T 2 )
Lōlā:
Q = mc ΔT = mc (T 2 – T 1 )
Q = wela, m = ka nuipaʻa, c = wela kikoʻī, ΔT = ka loli o ka mahana, T1 = ka mahana mua, T2 = ka mahana hope loa
Q = mc (T 2 – T 1 )
42,000 = (0.2)(4200)(T 2 – 25)
42,000 = 840 (T 2 – 25)
42,000 = 840 T 2 – 21,000
42,000 + 21,000 = 840 T 2
63,000 = 840 T 2
T 2 = 63,000 / 840
T 2 = 75 o C
- Ke hoʻololi nei i nā unahi mahana
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