ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā

1. Hoʻokaʻawale au i nā kinoea i loko o kahi pahu pani i ka wā mua he nui ka V a me ke kaomi P. Inā ʻo ke kaomi hope loa he 4P a mālama ʻia ka nui, he aha ka lakio o ka ikehu kinetic mua me ka ikehu kinetic hope loa.

ʻIke ʻia:

Kaomi mua (P ₁ ) = P

Kaomi hope loa (P ₂ ) = 4P

Ka nui mua (V ₁ ) = V

Ka nui hope loa (V ₂ ) = V

Makemake ʻia: ʻO ka lakio o ka ikehu kinetic mua i ka ikehu kinetic hope loa (K E ₁ : K E ₂ )

Lōlā:

ʻO ka pilina ma waena o ke kaomi (P), ka nui (V) a me ka ikehu kinetic (KE) o nā kinoea kūpono :

ʻO ka lakio o ka ikehu kinetic mua i ka ikehu kinetic hope loa:

ʻAʻole maopopo

2. He aha ka ikehu kinetic translational awelika o nā molekala i loko o kahi kinoea kūpono ma 57 ^o C.

ʻIke ʻia:

Mahana o ke kinoea (T) = 57 ^o C + 273 = 330 Kelvin

ʻO ke kūpaʻa o Boltzmann (k) = 1.38 x 10 ^-23 Joule/Kelvin

Makemake ʻia: ʻO ka ikehu kinetic translational awelika

Lōlā:

ʻO ka pilina ma waena o ka ikehu kinetic (KE) a me ka mahana o ke kinoea (T):

ʻO ka ikehu kinetic translational awelika:

ʻAʻole maopopo

3. He kinoea ma 27 ^o C i loko o kahi pahu pani . Inā piʻi ka ikehu kinetic o ke kinoea i 2 manawa o ka ikehu kinetic mua, no laila ʻo ka mahana hope loa o ke kinoea…

ʻIke ʻia:

Ka mahana mua (T ₁ ) = 27 ^o C + 273 = 300 K

Ikehu kinetic mua = KE

Ikehu kinetic hope loa = 4 K E

Makemake ʻia: ʻO ka mahana hope loa (T ₂ )

Lōlā:

ʻAʻole maopopo

4. Aia kahi kinoea kūpono i loko o kahi pahu pani, ua hoʻomehana ʻia i mea e piʻi ai ka wikiwiki awelika hope loa o nā ʻāpana o ke kinoea i 3 mau manawa o ka wikiwiki awelika mua. Inā he 27 ^o C ka mahana kinoea mua , a laila ʻo ka mahana hope loa o ke kinoea kūpono…

ʻIke ʻia:

Mahana mua = 27 ^o C + 273 = 300 Kelvin

Ka wikiwiki mua = v

Ka wikiwiki hope loa = 2v

Makemake ʻia : Ka mahana hope loa o ke kinoea kūpono

Lōlā:

ʻO ka wikiwiki awelika hope loa = 2 x ka wikiwiki awelika mua

ʻAʻole maopopo

5. ʻEkolu mau mole o ke kinoea i loko o kahi lewa 36 lita. Loaʻa i kēlā me kēia mole kinoea ka ikehu kinetic o 5 x 10 ^-21 Joules. ʻO ke kūpaʻa kinoea honua = 8.315 J/mole.K a ʻo ke kūpaʻa Boltzmann = 1.38 x 10 ^-23 J/K. He aha ke kaomi kinoea i loko o ka pahu.

ʻIke ʻia:

Helu o nā mole (n) = 3 mole

^Ka nui = 36 lita = 36 dm3 ⁼ 36 x 10 ^-3 m3

ʻO ke kūpaʻa o Boltzmann (k) = 1.38 x 10 ^-23 J/K

Ikehu kinetic (KE) = 5 x 10 ^–21 Joules

ʻO ke kūpaʻa kinoea honua (R) = 8.315 J/mole.K

Makemake ʻia : Kaomi kinoea (P)

Lōlā:

E helu i ka mahana me ka hoʻohana ʻana i ka hoohalike o ka ikehu kinetic o ke kinoea.

E helu i ke kaomi kinoea me ka hoʻohana ʻana i ka hoohalike o ke kānāwai kinoea kūpono (ma ka helu o nā mole, n):

PV = n RT

P (36 x 10 ^-3 ) = (3)(8.315)(241.5)

P (36 x 10 ^-3 ) = 6024.22

ʻO ke kaomi kinoea he 1.67 x ¹⁰⁵ Pascal a i ʻole 1.67 lewa.