14 Ke kānāwai o Boyle Ke kānāwai o Charles Ke kānāwai o Gay-Lussac - Nā pilikia a me nā hoʻonā
1. ʻO ke kaomi ea o ka huila o ke kaʻa he 432 kPa me ka mahana o 15 o C. Ma hope o kekahi mau hola, ʻo ke kaomi o ka ea he 492 kPa. Inā hoʻowahāwahā ʻia ka hoʻonui ʻana , he aha ka mahana o ka ea i loko o ka huila?
ʻIke ʻia:
Kaomi mua (P 1 ) = 432 kPa
Kaomi hope loa (P 2 ) = 492 kPa
Mahana mua (T 1 ) = 15 o C
Makemake ʻia: Mahana hope loa (T 2 )
Lōlā:
ʻO ke kaulike o ke kānāwai o Gay-Lussac :
2. Nā kinoea kūpono i loko o kahi pahu pani me ka leo V, ke kaomi P, a me ka mahana T. Inā lilo kona leo i ½ manawa o ka leo mua a lilo kona mahana i 4 manawa o ka mahana mua , he aha ke kaomi ea i loko o ka ʻōnaehana.
ʻIke ʻia:
ʻO ka nui mua o ke kinoea (V 1 ) = V
ʻO ka nui hope loa o ke kinoea (V 2 ) = ½ V
ʻO ka mahana mua o ke kinoea (T 1 ) = T
ʻO ka mahana hope loa o ke kinoea (T 2 ) = 4T
ʻO ke kaomi mua o ke kinoea (P 1 ) = P 1
Makemake ʻia: ke kaomi hope loa o ke kinoea (P 2 )
Lōlā:
3. Nā kinoea kūpono i hoʻomaka mua ʻia i loko o kahi pahu me ka nui V, ka mahana T, a me ke kaomi P. Inā hoʻomehana ʻia ke kinoea a laila lilo kona mahana i 3/2 T a lilo kona kaomi i 4/3 P, he aha ka nui o ke kinoea.
ʻIke ʻia:
ʻO ka nui mua o ke kinoea (V 1 ) = V
ʻO ka mahana mua o ke kinoea (T 1 ) = T
ʻO ka mahana hope loa o ke kinoea (T 2 ) = 3/2 T
ʻO ke kaomi mua o ke kinoea (P 1 ) = P
Kaomi hope loa o ke kinoea (P 2 ) = 4/3 P
Makemake ʻia: Ka nui hope loa o ke kinoea (V 2 )
Lōlā:
4. Nā kinoea kūpono i hoʻomaka mua ʻia i loko o kahi pahu me ka nui V a me ke kaomi P. Inā lilo ka mahana o ke kinoea i 5/4 T a lilo kona nui i ¾ V, he aha ke kaomi hope loa o ke kinoea.
ʻIke ʻia:
ʻO ka nui mua o ke kinoea (V 1 ) = V
ʻO ka nui hope loa o ke kinoea (V 2 ) = 3/4 V
ʻO ka mahana mua o ke kinoea (T 1 ) = T
ʻO ka mahana hope loa o ke kinoea (T 2 ) = 5/4 T
ʻO ke kaomi mua o ke kinoea (P 1 ) = P
Makemake ʻia: ke kaomi hope loa o ke kinoea (P 2 )
Lōlā:
5. Nā kinoea kūpono i ka wā mua i loko o kahi pahu me ka nui V ma ka mahana T a me ke kaomi P. Inā lilo ka mahana o ke kinoea i 3/2 T a lilo kona kaomi i 2P, he aha ka nui hope loa o ke kinoea.
ʻIke ʻia:
ʻO ka nui mua o ke kinoea (V 1 ) = V
ʻO ka mahana mua o ke kinoea (T 1 ) = T
ʻO ka mahana hope loa o ke kinoea (T 2 ) = 3/2 T
ʻO ke kaomi mua o ke kinoea (P 1 ) = P
Kaomi hope loa o ke kinoea (P 2 ) = 2P
Makemake ʻia: Ka nui hope loa o ke kinoea (V 2 )
Lōlā:
6. Hoʻokaʻawale mua au i nā kinoea i loko o kahi pahu me ka nui V ma ka mahana T a me ke kaomi P. Inā lilo ka mahana o ke kinoea i 2T a lilo ke kaomi o ke kinoea i 3/2 P, he aha ka nui hope loa o ke kinoea.
ʻIke ʻia:
Ka nui mua (V 1 ) = V
Ka mahana mua (T 1 ) = T
Kaomi mua (P 1 ) = P
Mahana hope loa (T 2 ) = 2T
Kaomi hope loa (P 2 ) = 3/2 P
Makemake ʻia: Ka nui hope loa o ke kinoea (V 2 )
Lōlā:
7. ʻO ka mahana mua o kahi kinoea kūpono i loko o kahi pahu pani ʻia he 27°C. Inā he 4 manawa ke kaomi hope loa o ke kaomi mua, he aha ka mahana hope loa o ka pahu?
Lōlā:
Pahu pani = ka nui mau = ke kaʻina hana isochoric
ʻIke ʻia:
Ka mahana mua o ke kinoea (T 1 ) = 27 o C + 273 = 300 K
ʻO ke kaomi mua o ke kinoea (P 1 ) = P
Kaomi hope loa o ke kinoea (P 2 ) = 4P
Makemake ʻia: Ka mahana hope loa o ke kinoea (T 2 )
Lōlā:
8. I loko o kahi pahu pani, hoʻonui ʻia ka nui o ke kinoea i 2 manawa o ka nui mua (V o = ka nui mua , P o = kaomi mua ) a lilo ka mahana o ke kinoea i 4 manawa o ka mahana mua. He aha ke kaomi hope loa o ke kinoea?
ʻIke ʻia:
ʻO ka nui mua o ke kinoea (V 1 ) = V o
ʻO ka nui hope loa o ke kinoea (V 2 ) = 2V o
ʻO ka mahana mua o ke kinoea (T 1 ) = T
ʻO ka mahana hope loa o ke kinoea (T 2 ) = 4T
ʻO ke kaomi mua o ke kinoea (P 1 ) = P o
Makemake ʻia: ke kaomi hope loa o ke kinoea ( P 2 )
Lōlā:
9. He kinoea kūpono i loko o nā pahu pani i ka wā mua ma 27°C. Inā he 4 manawa ke kaomi hope loa o ke kaomi mua, he aha ka mahana o ka pahu?
Lōlā:
Pahu pani = ka nui mau = ke kaʻina hana isochoric.
ʻIke ʻia:
Ka mahana mua o ke kinoea (T 1 ) = 27 o C + 273 = 300 K
ʻO ke kaomi mua o ke kinoea (P 1 ) = P
Kaomi hope loa o ke kinoea (P 2 ) = 4P
Makemake ʻia: Ka mahana hope loa o ke kinoea (T 2 )
Lōlā:
1 0 . Ke hele nei kahi kinoea kūpono i ke kaʻina hana isothermal , no laila ua lilo kona kaomi i 2 manawa o ke kaomi mua. He aha ka nui hope loa?
Isothermal = mahana mau
ʻIke ʻia:
ʻO ka nui mua o ke kinoea (V 1 ) = V
ʻO ke kaomi mua o ke kinoea (P 1 ) = P
Kaomi hope loa o ke kinoea (P 2 ) = 2P
Makemake ʻia: Ka nui hope loa o ke kinoea (V 2 )
Lōlā:
P 1 V 1 = P 2 V 2
PV = (2P) V 2
V = (2) V 2
V 2 = V / 2
V 2 = ½ V
11. He kinoea kūpono i loko o kahi pahu pani me ke kaomi P, nui V a me ka mahana T. ʻO ka mahana hope loa 2T a ʻo ka leo hope loa 3/2 V. He aha ka lakio o ke kaomi mua (P1) i ke kaomi hope loa (P2).
ʻIke ʻia:
Kaomi mua ( P 1 ) = P
Ka nui mua (V 1 ) = V
Ka nui hope loa (V 2 ) = 3/2 V
Ka mahana mua (T 1 ) = T
Mahana hope loa (T 2 ) = 2T
Makemake ʻia: ʻO ka lakio o ke kaomi mua (P1 ) i ke kaomi hope loa ( P2 )
Lōlā:
ʻO ka lakio o ke kaomi mua i ke kaomi hope loa:
P 1 : P 2
P: 4P/3
1: 4/3
3 (1) : (3) 4/3
3: 4
1 2 . ʻO ke kinoea oxygen me ka nui V, ka mahana T a me ke kaomi P i loko o kahi pahu pani. ʻO ka nui hope loa o ke kinoea oxygen he 3/4 V a ʻo ka mahana hope loa he 3/2 T. He aha ka lakio o ke kaomi mua i ke kaomi hope loa.
ʻIke ʻia:
Kaomi mua (P 1 ) = P
Ka nui mua (V 1 ) = V
Ka nui hope loa (V 2 ) = 3/4 V
Ka mahana mua (T 1 ) = T
Mahana hope loa (T 2 ) = 3/2 T
Makemake ʻia: ʻO ka lakio o ke kaomi mua (P1 ) i ke kaomi hope loa ( P2 )
Lōlā:
ʻO ka lakio o ke kaomi mua i ke kaomi hope loa:
P 1 : P 2
P: 2P
1: 2
13. He kinoea kūpono i hoʻomaka i loko o kahi pahu me ka nui o V, ka mahana o T a me ke kaomi o P. Inā hoʻomehana ʻia ke kinoea kūpono a laila lilo kona mahana i 3/2 T a lilo kona kaomi i 4/3 P, a laila he aha ka nui hope loa o ke kinoea kūpono.
ʻIke ʻia:
Ka nui mua (V 1 ) = V
Ka mahana mua (T 1 ) = T
Kaomi mua (P 1 ) = P
Mahana hope loa (T 2 ) = 3/2 T
Kaomi hope loa (P 2 ) = 4/3 P
Makemake ʻia: Ka Leo Hope Loa (V 2 )
Lōlā:
14. He kinoea kūpono i loko o kahi pahu me ka nui o V1, ka mahana o T1 a me ke kaomi o P1. A laila ua hoʻomehana ʻia ke kinoea i lilo kona nui 4 / 3 V1 a lilo kona kaomi i 5/2 P1. E hoʻoholo i ke choʻohālikelike ʻana o ka hope loa kauaia me kaa me ke kumu mua ka mahana o ke kinoea.
ʻIke ʻia:
Ka nui mua = V 1
Mahana mua = T 1
Kaomi mua = P 1
Ka nui hope loa = 4/3 V 1
Kaomi hope loa = 5/2 P 1
Makemake ʻia: ka hoʻohālikelike ʻana o ka mahana hope loa a me ka mahana mua o ke kinoea
Lōlā:
