Ke kānāwai o Boyle (mahana mau) - nā pilikia a me nā hoʻonā

1. I ka wā mua, loaʻa i kekahi mau kinoea kūpono ke kaomi P a me ka nui V. Inā hele ke kinoea i ke kaʻina hana isothermal i lilo ai ke kaomi hope loa i 4 mau manawa o ke kaomi mua, a laila ʻo ka nui hope loa o ke kinoea…

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Kaomi hope loa (P 2 ) = 4P

Ka nui mua (V 1 ) = V

Makemake ʻia: Ka Leo Hope Loa (V 2 )

Lōlā:

ʻO ke ʻano o ke kānāwai o Boyle :

PV = mau

P 1 V 1 = P 2 V 2

(P)(V) = (4P)(V 2 )

V = 4 V 2

V 2 = V / 4 = ¼ V

ʻO ka nui hope loa o nā kinoea he ¼ manawa o ka nui mua.

ʻAʻole maopopo

2. I loko o kahi pahu pani, hoʻonui ʻia ke kinoea i lilo ai ka nui hope loa i 2 manawa o ka nui mua (V = ka nui mua, P = kaomi mua). ʻO ke kaomi hope loa o nā kinoea…

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Ka nui mua (V 1 ) = V

Ka nui hope loa (V 2 ) = 2V

Makemake ʻia : Kaomi hope loa (P 2 )

Lōlā:

P 1 V 1 = P 2 V 2

PV = P 2 (2V)

P = P 2 (2)

P 2 = P / 2 = ½ P

Lilo ke kaomi kinoea i ka ½ manawa o ke kaomi mua.

ʻAʻole maopopo

3. I loko o kahi pahu pani, nā kinoea me ke kaomi o 2 atm a me ka nui o 1 lita. Inā lilo ke kaomi kinoea i 4 atm a laila lilo ka nui o ke kinoea...

ʻIke ʻia:

Kaomi mua (P 1 ) = 2 atm = 2 x 10 5 Pa

Kaomi hope loa (P 2 ) = 4 atm = 4 x 10 5 Pa

Ka nui mua (V 1 ) = 1 lita = 1 dm 3 = 1 x 10 -3 m 3

Makemake ʻia : Ka leo hope loa (V 2 )

Lōlā:

P 1 V 1 = P 2 V 2

( 2 x 10 5 )(1 x 10 -3 ) = (4 x 10 5 ) V 2

( 1)(1 x 10 -3 ) = (2) V 2

1 x 10 -3 = (2) V 2

V 2 = ½ x 10 -3

V 2 = 0.5 x 10 -3 m 3 = 0.5 dm 3 = 0.5 lita s

Waiho i ka manaʻo