Thermodynamics Properties

Transcript

1. 2. 3. 9. 5. Problem Set No. 2 Deadline of Submission: July 13, 2015 (Monday ! man "oes "oes to a traditional traditional mar#et mar#et to buy a stea# stea# for dinner. dinner. $e finds finds a 12%o& stea# stea# (1 lbm ' 1 o& for for )3.15. $e t*en t*en "oes to t*e ad+aent international mar#et and finds a 320%" stea# of idential -uality for )2.0. /*i* stea# is t*e better buy ! tan# tan# ontains ontains a miture miture of of 20 #" of nitro"e nitro"enn and 20 #" of arbon arbon dioide. dioide. *e *e total tan# tan# olume olume is 20 m3. Determine t*e density and s4eifi olume of t*e miture. Someon Someonee 4ro4os 4ro4oses es a ne absolut absolutee tem4era tem4eratur turee sale sale in *i* *i* t*e boilin" boilin" and free&in" free&in" 4oints 4oints of ater ater at atmos4 atmos4*er *eri i 4ressure are 50067 and 10067, res4etiely. Deelo4 a relation to onert t*is sale to de"ree 8elsius. ! dier dier desends desends 100 m to a sun#en s*i4. s*i4. ! ontainer ontainer is found it* it* a 4ressure 4ressure "a"e readin" readin" 100 #Pa ("a"e. ("a"e. !tmos4* !tmos4*eri eri 4ressure is 100 #Pa. /*at is t*e absolute 4ressure of t*e "as in t*e ontainer ! beer beer barrel *as *as a mass of 10 #" #" and a olume olume of 20 liters. liters. !ssumi !ssumin" n" t*e density density of beer beer is 1000#"m 1000#"m3, determine t*e total mass and ei"*t of t*e barrel *en it is filled it* beer. . ;ind ;ind t*e area area of of t*e 4ist 4iston on on *i *i** t*e 95 95 #N fore fore at. at. <. *e ertial ertial fritionle fritionless ss 4iston%yl 4iston%ylinder inder s*on s*on belo ontain ontainss a "as at an un#non 4ressure. 4ressure. *e 4iston 4iston *as a mass of 10 #" 2 and a ross%setional area of <5m . *e s4rin" eerts a donard fore of 100 N on t*e 4iston, and atmos4*eri 4ressure is 100 #Pa. Determine t*e 4ressure of t*e "as. . Steam Steam is *eld in to om4a om4artm rtment entss (! and = se4ara se4arated ted by a membran membrane. e. *e total total olume olume is <<< ft3, and t*e olume of om4artment = is 20 ft3. *e s4eifi olume of t*e steam in = is >.5 ft 3lbm. *e membrane brea#s, and t*e resultin" s4eifi olume is 12.<5 ft3lbm. Determine t*e ori"inal s4eifi olume in om4artment !. >. ! tan# tan# *as a auum auum "a"e atta*ed atta*ed to to it indiatin" indiatin" 25 in in $" (auum (auum *ere *ere atmos4*eri atmos4*eri 4ressu 4ressure re is 19.5 4sia. 4sia. Determine Determine t*e absolute 4ressure inside t*e tan# tan#. 10. *e loer *alf *alf of a 10%m%*i"* ylindri ylindrial al ontainer ontainer is filled filled it* ater ater (? ' 1000 #"m3 and t*e u44er *alf it* oil t*at *as a s4eifi "raity of 0.5. Determine t*e 4ressure differene beteen t*e to4 and bottom of t*e ylinder. 11. ! *i#er *i#er is arryin" arryin" a barome barometer ter t*at measures measures 2>.>2in$ 2>.>2in$"" absolu absolute te at t*e base of t*e mountai mountain. n. *e barome barometer ter reads 3 25.5in$" absolute at t*e to4 of t*e mountain. *e aera"e air density is 0.0< lbmft , t*e "raitational aeleration remains onstant at 32.1<9 ft s2. /*at is t*e mountain@s *ei"*t 12. ! 3 #" 4las 4lasti ti tan# tan# *as *as a olum olumee of 0.2m 0.2m3 is filled it* li-uid ater. !ssumin" t*e density of ater is 1000#"m 3. Determine t*e ei"*t of t*e ombined system. 13. Determine t*e mass and ei"*t ei"*t of air ontained in a room *ose dimensions are m  m  m. !ssume t*e density of air is 1.1#"m3. 19. 8onsider 8onsider a <0 #" oman oman *o *o *as a total total foot im4rint im4rint area area of 900m 900m2. S*e is*es to al# in t*e sno, but t*e sno annot  it*stand 4ressure "reater t*an 0.5 #Pa. Determine t*e minimum si&e of t*e sno s*oes needed (im4rint area 4er s*oe to enable *er to al# on t*e sno it*out sin#in". 15. ! auum auum "a"e onneted onneted to a tan# reads 30 #Pa at a loation loation *ere t*e barometri barometri readin" is <55 mm$". Determin Determinee t*e 3 absolute 4ressure in t*e tan#. a#e a#e ρ$"'13,5>0#"m . 1. Determine Determine t*e 4ressure 4ressure eerted eerted on a dier at 30m belo t*e free surfae surfae of t*e sea. !ssume !ssume a barometri barometri 4ressure 4ressure of 101 #Pa and a s4eifi "raity of 1.03 for seaater. 1<. ! ubi ubi meter of ater ater at room tem4erature tem4erature *as a ei"*t ei"*t of >00 N at a loation loation *ere "'>.ms "'>.ms2. /*at is its s4eifi ei"*t and its density at a loation *ere "'>.<% >%m3 tan# of nitro"en is se4arated by a membrane into to setions. Setion ! *as an initial density of 1.< #"m3 and setion = *as a mass of  #". !fter t*e membrane is bro#en, t*e density is found to be 1.<<#"m 3. ;ind t*e initial density of t*e "as in setion = in #"m3. 1>. ! ertial, fritionless 4istonAylinder deie ontains a "as "as at 250 #Pa absolute 4ressure. *e atmos4*eri 4ressure outside is 100 #Pa, and t*e 4iston area is 30 m2. Determine t*e mass of t*e 4iston. 20. ! *ydrau *ydrauli li lift lift is to be used used to lift lift a 2500 2500 #" ei"*t ei"*t by 4uttin 4uttin"" a ei"*t ei"*t of 25 #" on a 4iston 4iston it* a diameter diameter of 10 m. Determine t*e diameter of t*e 4iston on *i* t*e ei"*t is to be 4laed.