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updaexam6
1
@cigubid
Name of student: _________________________ _________________________
Te kineti% teo$ of as is +ased on te folloin assumptions Te mole% mole%ules ules in a as as mo4e mo4e f$ee f$eel l in in $and $andom om motion motion and possess possess kineti kineti%% ene$ ene$ . Te Te fo$% fo$%ee of att$ att$a% a%ti tion on +et +ete een en te te mole mole%u %ules les a$e a$e nel neli ii+ i+le le.. Te %oll %ollisio isions ns of te mole% mole%ule uless it ea% ea% ote ote$$ and it it te te alls alls of of te %ont %ontain aine$ e$ a$e a$e elasti% elasti% %oll %ollisio isions. ns.
Boyle’s Law
Pα1 V That is PV = constant Or P1V1 = P2V2
Small volume molecules hit wall more often, greater pressure
Relationship between pressure and volume
1
5oles la states tat for a fixed mass of gas, the pressure of the gas is inversely proportional to its volume when the temperature is kept constant .
(a) P inversely inversely proportional proportional to to V 3
0
1/V
(b) P directly directly proportional proportional to 1/V
Te Te 4o 4olum lume of of an an ai$ ai$ +u++ +u++le le at te te +as +asee of of a sea sea of 70 70 m dee deep p is is 270 270%m %m 3. f te atmospe$i% p$essu$e is 10m of ate$& find te 4olume of te ai$ +u++le en it $ea%es te su$fa%e of te sea. P2= 10m
P1V1 = P2V2 60m (250 x 10 m! = 10m x V2 1"5 x 10-! m! = V2 -6
PI =0m ! 10m
V1=20cm"
2
@cigubid W41, 4.4 Gas Laws @KYRHG
Physics Form 4
8n ai$ +u++le of %apa%it 17 %m 3 at a p$essu$e of 320 %m ' is $eleased f$om te sea. Dete$mine te 4olume of te +u++le en it $ea%es te su$fa%e of ate$& if te atmospe$i% p$essu$e is 6 %m '. 8ssume tat te tempe$atu$e of te ate$ is %onstant. Ans: 63 cm ; 3
7
8 +i%%le pump of lent 0 %m as a unifo$m %$oss 1 atm; Ans: 1.74 atm;
6
#$%&'e 6
/iu$e 6(a sos a lass tu+e %losed at one end it a small ?uantit of me$%u$ t$apped inside. Wen te tu+e is in a o$i@ontal position& te lent of ai$ %olumn at te %losed end of te tu+e is A %m and te lent of te me$%u$ %olumn is 2 %m. (a Wat is te p$essu$e of te ai$ t$apped inside te tu+e in a o$i@ontal position= (+ Wat is te lent of te %olumn of ai$ t$apped inside te tu+e& en te tu+e is in a 4e$ti%al position as son in /iu$e 6(+=
"
@cigubid W41, 4.4 Gas Laws @KYRHG
Physics Form 4
#$%&'e
8 $od of tu+e it one end %losed as a st$ip of me$%u$ 3 %m lon. Wen te tu+e is eld 4e$ti%all& te lent of ai$ t$apped is A %m as in /iu$e (a. 8tmospe$i% p$essu$e is taken as 6 %m '. (a Cal%ulate te lent& x of ai$ i% is t$apped en te tu+e is pla%ed o$i@ontall as in /iu$e (+. (+ Cal%ulate te lent& of ai$ t$apped en te tu+e is in4e$ted as son in /iu$e (%.
A
8 +u++le of ai$ it 4olume %m 3 is $eleased f$om a su+ma$ine at te dept of 70 m. Wat ill +e te 4olume of te +u++le en it as $isen to a dept of 1 m= 8tmospe$i% p$essu$e > 10 m ate$;
9
8n ai$ +u++le $eleased + a di4e$ as a 4olume of 6.0 %m3 at te dept of 7 m. Wat is te 4olume of te +u++le at a dept of 2 m= 8tmospe$i% p$essu$e > 10 m ate$; Ans: 7.5 cm ; 3
10
/iu$e 10 sos t$apped ai$ inside a tin lass tu+e in t$ee diffe$ent positions. - atm > 6 %m ';
(a
()
(*
#$%&'e 10
Dete$mine te 4alue of x and y .
'
@cigubid W41, 4.4 Gas Laws @KYRHG
Physics Form 4
+,a'les’s Law VαT that is V ! constant T #igher temperature, faster molecules, larger volume to eep the pressure const
Relationship between volume and temperature "ower temperature
1
Ca$les la states that for a fixed mass of gas, the volume of the gas is directly proportional to its absolute temperature when its pressure is kept constant.
2
Te tempe$atu$e <23 0C is te loest possi+le tempe$atu$e and is knon as te absolute zero of tempe$atu$e.
3
/ill te ta+le +elo. Teme'a.&'e 8+solute @e$o %e point *team point Bnknon point
+els$&s s*ale (0+ -273 ! "
Complete te dia$am +elo.
%2&"
7
/el$n *ale(/ 273 373 # " $ 273 %
100
#/0$
8 s$ine in a $ef$ie$ato$ %ontains .7 ml of ai$ at –3 oC. Wen te s$ine as taken out and pla%ed in a $oom e$e te tempe$atu$e as 2 oC& te ai$ in it epands. Cal%ulate te final 4olume of te ai$ in te s$ine. Ans: 5.0 ml ;
6
Te 4olume of a fied mass of as is 170 %m 3 at 37oC. f te as is eated at a %onstant p$essu$e& at is te 4olume of te as en te tempe$atu$e $ea%es A oC=
@cigubid W41, 4.4 Gas Laws @KYRHG
Physics Form 4
/iu$e +elo sos a lass tu+e %ontainin some t$apped ai$ inside it. 8t 2oC& te o$i@ontal %olumn of t$apped ai$ is
9 %m.
f te atmospe$i% p$essu$e does not 4a$& o mu% is te o$i@ontal %olumn of ai$ at a tempe$atu$e of 7 oC. Ans: 9.54 cm ; 3
P'ess&'e’s Law PαT $hat is P ! constant T 'ie$ tempe$atu$e mole%ules mo4e faste$& $eate$ p$essu$e
ela.$ons,$ )e.ween 'ess&'e and .eme'a.&'e
1
Te p$essu$e la states that for a fixed mass of gas, the pressure of the gas is directly proportional to its absolute temperature when its volume is kept constant .
2
8n i$on %linde$ as as a p$essu$e of 360 k-a en it is kept in a sto$e at tempe$atu$e 2 oC. Wat is te p$essu$e of te as en te %linde$ is mo4ed outdoo$s e$e te tempe$atu$e is 0 oC= Ans: 375.6 kPa ;
3
5efo$e a ,ou$ne f$om !u%in to undu& te ai$ in a %a$ t$e as a p$essu$e of 200 k-a and a tempe$atu$e of 2 oC. 8fte$ te ,ou$ne& te ai$ p$essu$e in te t$e is 20 k-a. Wat is te tempe$atu$e of te ai$ in te t$e afte$ te ,ou$ne= 8ssume te 4olume of te t$e is %onstant; Ans: 87 C; o
(
@cigubid W41, 4.4 Gas Laws @KYRHG
Physics Form 4
Te p$essu$e of nit$oen as in a lit +ul+ is 60 k-a at 20 oC. Cal%ulate te tempe$atu$e of te as en te p$essu$e inside te +ul+ $ises to 90 k-a afte$ te +ul+ is lited up. Ans: 166.5 C; o
7
8 %losed flask %ontains as at a tempe$atu$e of 97oC and p$essu$e of 172 k-a. f te tempe$atu$e is $edu%ed to –1 oC& at is te ne p$essu$e of te as= Ans: 106 kPa;
6
8 moto$%%le t$e is found to possess a p$essu$e of 3.2 atmospe$i% en it as tested in a a$ae at a tempe$atu$e of 2oC. 5 assumin tat te 4olume of te ai$ in te t$e is fied& at is te su$$oundin tempe$atu$e if te t$e is found to possess a p$essu$e of 3.7 atmospe$i%= Ans: 55 C; o
&
@cigubid W41, 4.4 Gas Laws, Exercise 3 @KYRHG
1
2
Physics Form 4
Te p$odu%t of p$essu$e and 4olume of a fied mass of as at %onstant tempe$atu$e is A a 4a$ia+le B e?ual to one + a %onstant 3 neati4e 8+solute @e$o is te tempe$atu$e at i% as mole%ules teo$eti%all A o%%up no 4olume at all B mo4e te fastest + ill $ead 23 oC in tempe$atu$e 3 %ontain ti%e te num+e$ of mole%ules at $oom tempe$atu$e
A
9
B Te 4olume of as $emains %onstant. + Te kineti% ene$ of as in%$eases. 3 Te distan%e +eteen as mole%ules in%$eases. Te 4olume of an ai$ +u++le at te +ase of a sea of 70 m deep is 200 %m 3. f te atmospe$i% p$essu$e is 10 m of ate$& find te 4olume of te ai$ +u++le en it $ea%es te su$fa%e of te sea. A" 1000 %m3 +" 1270 %m3 B" 1200 %m3 3" 170 %m3
Te 4olume of an ai$ +u++le is 7 mm 3 en it is at a dept of h %m +elo te ate$ su$fa%e. )i4en tat its 4olume is 17 mm 3 en it is at a dept of 2 m& find te 4alue of h.
8tmospe$i% p$essu$e > 10 m of ate$; 3
Ee$%u$ f$ee@e at 23 !. Wat is tis tempe$atu$e in oC= A" –39 +" –30 B" –12 3" 2 Wi% of te folloin statements a+out te as p$essu$e is false= A )as mole%ules %ollide it ea% ote$ to p$odu%e as p$essu$e. B )as mole%ules mo4e $andoml at i speed. + Te %ollisions +eteen te mole%ules temsel4es and %ollisions +eteen mole%ules and all of %ontaine$s a$e elasti%. 3 )as mole%ules alas %ollide it te all of %ontaine$ to p$odu%e as p$essu$e.
A" 10 B" 17
+" 22 3" 26
10 8 as of 4olume 20 m3 at 3oC is eated until its tempe$atu$e +e%omes AoC at %onstant p$essu$e. Wat is te in%$ease in 4olume= A" 3.2 m3 +" .2 m3 B" 7.2 m3 3" A.2 m3 11 Te 4olume of a as is 1 %m3 at 17 oC. Te as is eated at fied p$essu$e until te 4olume +e%omes t$iple te initial 4olume. Cal%ulate te final tempe$atu$e of te as. A" 327oC +" A7oC B" 2oC 3" 791oC 12 Te ai$ p$essu$e in a %ontaine$ at 33 oC is
7
Wen te as in an en%losed %ontaine$ is eated at fied p$essu$e& at ill appen to te f$e?uen% of %ollisions +eteen te as mole%ules=
A" t de%$eases. B" t in%$eases. 6
+" t $emains %onstants.
Wen a fied mass of as epands slol at fied tempe$atu$e& i% of te folloin ?uantities in%$eases= A !ineti% ene$ of as B 84e$ae speed of as + )as p$essu$e 3 Folume of as Wat ill appen en a fied mass of as in an en%losed %ontaine$ is %omp$essed slol itout an %ane in tempe$atu$e= A Te as p$essu$e in%$eases.
7
1. × 10 Nm
−2
. Te %ontaine$ is eated until te tempe$atu$e is 77 oC. Wat is te final ai$ p$essu$e if te 4olume of te %ontaine$ is fied= 7
−2
7
−2
1.30 × 10 Nm
A"
−2
7
−2
+" 1.70 × 10 Nm
B"
7
1.60 × 10 Nm 1.62 × 10 Nm
3"
13 Te ai$ p$essu$e in one of te t$es of a %a$ is 27 k-a at 2oC. 8fte$ a lon ,ou$ne& te tempe$atu$e of te ai$ in te t$e is A oC. /ind te ai$ p$essu$e in te t$e no. 8. 2 k-a C. 30 k-a 5. 29 k-a D. 32 k-a
W41, 4.4 Gas Laws @KYRHG
Physics Form 4
1 Dia$am 1.1 and Dia$am 1.2 sos to identi%al flasks +ein eated it diffe$ent ?uantit of eat fo$ 17 minutes.
3$a%'am 14"1
3$a%'am 14"2
(a *tate te psi%al ?uantit $ep$esented + te diffe$en%e of to me$%u$ le4els& G and ".
(+ W must te le4el of te me$%u$ +e fied at G=
(% 5ased on Dia$am 1.1 and Dia$am 1.2& (i %ompa$e te diffe$en%e of to me$%u$ le4els& and '.
(ii
%ompa$e te $eadins of te to te$momete$s&
(iii
%ompa$e te amount of eat supplied fo$ 17 minutes
W41, 4.4 Gas Laws @KYRHG
(i4
(d (i
(ii
Physics Form 4
state te $elationsip +eteen te eat supplied and te tempe$atu$e.
*ket% a $ap of ai$ p$essu$e aainst tempe$atu$e in !el4in.
*tate te $elationsip +eteen te p$essu$e and te tempe$atu$e of ai$.
