1. Hozirgi zamon laboratoriya usullari bilan idishdagi havo so‘rib olinib u juda siyraklashtirilgan (p=10-11mm sim ust.) bo‘lsa 100C haroratda idishning har 1sm3 hajmda qancha molekula bo‘ladi. Berilishi


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1 .Hozirgi zamon laboratoriya usullari bilan idishdagi havo so‘rib olinib u juda siyraklashtirilgan (p=10-11mm sim. ust.) bo‘lsa 100C haroratda idishning har 1sm3 hajmda qancha molekula bo‘ladi.

Berilishi:

Formula:

Yechish:

P=10-11 mm sim.ust
T=100C=283K
V=1 sm3
N=?

PV=VRT
V= PV/RT
N= VNA

V=10-11∙133,3∙10-6/8,31∙283=
0,057∙10-17
N=0,057∙10-17∙6,02∙1023
=3,4∙105 ta



2. Shisha idishda yaxshi vakuum olish uchun adsorbsiyalangan gazni chiqarishda idish devorlarini qizdirish zarurdir. Agar adsorbsiyalangan gaz molekulalari idish devoridan idish ichiga o‘tsa, u holda r=10 sm raduysli sferik idishdagi bosimning qanchaga ortishi hisoblansin. Adsorbsiya qatlamini molekular qatlam deb, molekulaning ko‘ndalang kesimini esa 10-15 sm2 deb olinsin. Harorat t=3000C.

Berilishi:

Formula:

Yechish:

r=10sm
S=10-15 sm2
T=3000C=573K
P=? N/m3

P=NKT/V
N=S1/S
P=3kT/Sr

P=3∙1,38∙10-23∙573/10-15∙10-4∙0,1
=2,4N/m3

3. Agar yodning dissotsiatsya darajasi 50% bo‘lsa, uning 1g bug‘ida qancha zarracha bo‘ladi. Yod J2 ning bir kilomol massasi 254 kg/kmol ga teng.

Berilishi:

Formula:

Yechish:

a=50%
m=1g
μ =254 kg/kmol
N=?





N=NA(2 a m/ μ+(1- a) m/ μ)

N= 23(2 /254+(1-0,5) 1/254=
35,6 20=3,56 21
N=3,56 21ta

4. Yarmisi dissotsiatsiyalangan 16g kislorodda qancha zarracha bo‘ladi?

Berilishi:

Formula:

Yechish:

m=16g
mmol=8g
matom=8g
μ mole=32g/mol
μ atom=16g/mol
N=?



N=( mmol/ μ mole+ matom/ μ atom) A







N=(8/32+8/16) 23
=4,515 23


5. Idishda 10-10 kilomol kislorod va 10-6 g azot bor. Aralashmaning harorati 1000 Cga teng. Bunda idishdagi bosim 10-3 mm sim.ust.ga teng. 1)idishning hajmi, 2)kislorod va azotning portsial bosimi, 3) idishning har 1sm3 hajmidagi molekulyar soni topilsin.

Berilishi:

Formula:

Yechish:

v1=10-7mol
m2=10-9kg
T=1000C=373K
μ1=32g/mol
μ2=28g/mol
V0=1sm3
V=? P1=?
P2=?

V=( v1+ v2)RT/P
P1=v1RT/V
P2=P-P1

V= =3,2 -3m3


P1= =96 mm.sim.ust
P2=(133-96) =37 Pa=
2,7 mm.sim.ust


6. Havoni bir kilomolining massasi μ=29 kg/kilomolga teng bo‘lgan bir jinsli gaz deb hisoblab, 170C haroratda havo molekulalarining o‘rtacha kvadratik tezligi topilsin.

Berilishi:

Formula:

Yechish:

μ=29∙10-3 kg/mol
T=1700C=290K
v=?





v= =500m/s



7. Bir xil haroratdagi geliy va azot molekulalari o‘rtacha kvadratik tezliklarning nisbati topilsin.

Berilishi:

Formula:

Yechish:

T1=T2
M1=4 g/mol
M2=28 g/mol
v1/v2=?



v



v1/v2= = = =
=2,65


8. Atom bombasi portlash paytida harorat taxminan 106 C gradusgacha ko‘tariladi. Bunday haroratda hamma molekulalarni atomlarga dissotsiatsiyalangan, atomlarni esa ionlashgan hisoblab, vodorod ionning o‘rtacha kvadratik tezligi topilsin.

Berilishi:

Formula:

Yechish:

T=106C
M=1g/mol
v=?



v





v= =5∙105m/s


9. Agar 200 mm sim.ust.bosimida vodorod molekulasining o‘rtacha kvadratik tezligi 2400 m/sek ga teng bo‘lsa, bu sharoitda 1sm3 hajmdagi vodorod molekulalarning soni topilsin.

Berilishi:

Formula:

Yechish:

P=200 mm sim.ust
v=2400 m/s
V=1sm3=10-6 m3
M=2g/mol
N=?





V= PV/RT=3PV/ v2M
N=NA V

V=3∙26666∙10-6/(576∙104∙2∙10-3)=
69,44∙10-7
N=69,44∙10-7∙6,02∙1023=4,18∙1018ta
N=4,18∙1018ta




10. Biror gazning zichligi 6∙10-2 kg/m3 ga, molekulalarning o‘rtacha kvadratik tezligi esa 500 m/sek ga teng. Gazning idish devoriga ta‘sir qilgan bosimi topilsin


Berilishi:

Formula:

Yechish:

p=6∙10-2 kg/m3
v=500 m/s
P=?





P=10-2∙6∙25∙104/3=5000 Pa
P=5kPa

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