1.) 1.)
1
1 UnUnit it weweigighhtt 2
2 DDeennssiittyy 3
3 SpSpececififc grc gravavitityy Soluton
Soluton 1
1 UnUnit it weweigight ht Ƴ Ƴww == 4466,,880000..0000 5.60 5.60 = = 88,,3355..1144 2 2 DDeennssiitty y D Deennssiittyy == 88,,3355..1144 !.81 !.81 = = 885511..!!00 3
3 SpSpececififc gc graravivity ty
sspp..ggrr.. == 885511..!!00 1,000.00 1,000.00 = = 00..8855 2.) 2.) 1
1 "a"ass ss #e#ensnsitityy 2
2 spspececififc wc weieighghtt 3
3 spspececififc grc gravavitityy Soluton
Soluton w
weeiigghhtt == 1122000 0 $$!!..8811%% w
weeiigghhtt == 11112 2 && w
weeiigghhtt == 1111.. 1
1 mamass ss dedensnsitity y ' ' == "" = = 12001200 vv 00..!!5522 = = 11,,226600..5500 2
2 spspececififc wc weieighght t Ƴ Ƴ == ww = = 11.11. vv 00..!!5522 = = 1122..3366 3
3 SpSpececififc gc graravivity ty sp
sp.g.grr.. == UnUnit it weweigight ht () () g*g*ycycererininee Unit weight () +2 Unit weight () +2 sspp..ggrr.. == 1122..3366 !.81 !.81 -) 5.6 "
-) 5.6 " () (i* weighs 46,800 () (i* weighs 46,800 &, ca*c/*ate the )(**(w&, ca*c/*ate the )(**(winging
&" &"
g" g"
()
() 1200 1200 g g is is 0.!52 0.!52 ". ". ("p/te ("p/te the the )(**(wing)(**(wing
g" g"
&" &"
= 1.26 3.)
1 ("p/te the "ass #ensity 2 ("p/te its specifc v(*/"e 3 ("p/te its specifc v(*/"e Soluton 1 Mass density ' = 56,000.00 !.810 = 5,08.46 2 Specifc volume sp.v(*. = 1.00 ' = 1.00 5,08.46 = 0.00015 "g 3 Specifc gravity sp.gr. = 56.00 !.81 = 5.1 4.) 1 ass #ensity 2 3 specifc v(*/"e Soluton 1 Mass density ' = 2,230.00 !.810 ' = 227.32 2 = '(*. = 22.32 7 0.001 = 0.23 g 3 Specifc volume sp.v(*. = 1.00 ' = 1.00 22.32 sp.v(*. = 0.004399 "g
certain *i9/i# has a /nit weight () 56 &"
g"
n (::;ect has a specifc weight () 2.23 &" ("p/te the )(**(wing. ass i) the v(*/"e is 0.001 "
5.) 9/art () water weighs 4.08<i:. ("p/te the )(**(wing 1 ass in s*/gs 2 ass in g 3 (*/"e in c/.> Soluton 1 Mass in slugs ? = "g 4.08 = "$32.2% " = 4.08 32.20 " = 0.13 s*/gs 2 Mass in kg " = 0.126 32.20 2.20 " = 1.85 g 3 Volume in cu. w = @(*. 4.08 = 62.40 (*. (* = 0.07 6.)
1 ("p/te the weight () water 2
3 #eter"ine the v(*/"e () water that wi** spi** (ver the e#ge () the tan. Soluton
1 !eight o" water
= h Dia H = 10 5 = 8.54 = 392.70 = V1 = 3,844.14 3!2. !.8!
2 #inal volume when heated a temp.
w2 = 3844.14 !.68!
= 396.75 "
3 Volume o" water
A = 3!2. 3!6.5
= 4.05 "
>
10 ". #ia". y*in#rica* tan has a height () 5 . an# is )/** at 20 B $ Unit weight () water = !.8! &"% i) the water is heate# t( a te"perat/re () 50 B $Unit weight () water = !.68! &"%
?hat is the fna* v(*/"e when heate# t( a te"p. () 50 B.
1 "C 1 ?1 1D1 D1 W2 D2 2D2 2 V1 V2 2 <1 Π4 $10C%
7.)
1 ("p/te the change in v(*/"e 2 ("p/te the change in press/re
3 ("p/te the :/* "(#/*/s () e*ascity Soluton 1 $hange in Volume A = !!5<1000 = 5.00 *iters 2 $hange in pressure AE = 2 < 1 1 pa 3 %ulk modulus o" elas&city
' = FG AE A ' = 1,000.00 ' = 200.00 Mpa 8.) t( 212 .&.g., c("p/te 1 #ensity () the gas 2 "ass () the gas 3 ?eight () gas Soluton ' = E H = = 23 I 24 = 2! 1 ' = 212 $2!% ' = 3.81 2 " = ' " = 3.81 $0.04% " = 0.52 g 3 ? = g
*i9/i# which is c("presse# in a cy*in#er having a v(*/"e () - *iter at (ne &"C an# v(*/"e () !!5 " at 2 &"C.
gas having a v(*/"e () 40 *iters has a press/re () 0.24 pa at 24 B. -) the gas c(nstant H is e9/a*
23B I B
0.24 $10%J
g" −( 2−1 )
? = 0.152 $!.81% ? = 1.4! & 9.)
1 ("p/te the press/re in Ea 2 ("p/te the gage press/re. 3 Soluton 1 (ressure in k(a E = 21.868 $100% = 2,186.80 Ea a:s 2 )age pressure = 2186.8 = = 2,085.50 Ea 3 )as constant * + @ = E g H E = &(te 1 :ar = 362 = !.81 H$40 I 23% H = 18!.30
10.) 1 Kin# the #epressi(n h () the "erc/ry in the g*ass capi**ary t/:e having #ia"eter () 2"" i) the 2 ("p/te the )(rce ca/se# :y s/r)ace tensi(n.
3 Deter"ine the #ensity () the "erc/ry. Soluton h = ' g r ' = 13.6 $!810% !.81 ' = 13,600.00 h = 13600$!.81%$0.001% h = 0.005! h = 5.!0 ""
gas is /n#er press/re () 21.868 :ar a:s at 40B.
("p/te the gas c(nstant H i) it has a /nit weight () 362 &"
Ea:s Egage I Eat"
Egage I 101.3 Egage 868 7 10L &"C 10LEa = 100 Ea 21.868 7 10L "CsC
s/r)ace tensi(n is 0.514 &" )(r M = 40B.
2 N (s M
g" 2$0.514%(s 40B
1 Depression h+
h = 5.!0 "" 2 #orce caused ,y sur"ace tension
K = N O # (sM K =
K = &
3 Density o" mercury
' = 13,600.00
11.) press/re gage at e*ev. 12 at the si#e () the tan c(ntaining a *i9/i# rea#s 100 Ea. n(ther ga/ge at e*eva(n ". rea#s 140 Ea.
1 ("p/te the specifc weight () the *i9/i#. 2 ("p/te the #ensity () the *i9/i#.
3 ("p/te the specifc gravity () the *i9/i#. Soluton 1 Specifc weight 140 I 100 I w$5% w = 8 &" 2 Density ' = 8,000.00 !.81 = 815.4! 3 Sp.gr. = 8.00 !.81 = 0.82 12.)
-) the #ia". ) the tan is 1".
1 Kin# the press/re at the inter)ace () water an# er(sene. 2 Kin# the press/re at the :(P(" () the tan
3 Kin# the t(ta* )(rce at the :(P(" () the tan. Soluton
1 (ressure at inter"ace = 2.8 $8%
= 22.40 Ea
2 (ressure at the ,o-om
= 22.4 I !.81 $5.%
= 8.32 Ea
3 otal "orce at the ,o-om o" the tank K =
0.51O$0.002%$(s 40B% 2.4 7 10 Q
g"
g"
n (pen tan c(ntain 5. ". () water c(vere# with 2.8 " () er(sene having a /nit weight () 8 &"
E
ER
= 61.51 &
13.)0.!0 an# sea water sp.gr. = 1.03. -) the #epths () the
*i9/i#s are 0.5 ". , 0.80 ". an# 1 " )(r (i*, gas(*ine an# sea water respecve*y. 1 Kin# the press/re at a #epth () 1.2"
2 Kin# the press/re at a #epth () 1.8"
3 Kin# the press/re at the :(P(" () the the tan. Soluton
1 (ressure at a depth o" 1.2 m.
E = !.81 $0.8% $0.5% I !.81 $0.!0% $0.0%
= 10.10
2 (ressure at a depth o" 1./ m.
E = !.81 $0.8% $0.5% I !.81 $0.!0% $0.80% I !.81 $1.03% $0.5%
= 16.04
3 (ressure at the ,o-om o" the tank
E = !.81 $0.8% $0.5% I !.81 $0.!0% $0.80% I !.81 $1.03% $1%
= 21.0!
14.) press/re ga/ge at e*eva(n () 8" at the si#e () a tan c(ntaining a *i9/i# rea#s 80 Ea. n(ther ga/ge at e*eva(n 3" rea#s 120 Ea. ("p/te )(r the
1 Specifc weight 2 #ensity 3 Specifc gravity Soluton 1 Specifc weight 120 = 80 I 5w w = 8.00 2 density #ensity = 8,000.00 !.81 = 815.4! 3 Specifc gravity sp.gr. = 815.4! 1,000.00 = 0.82
15.)he press/re (n a c*(se# tan rea#s 58.86 Ea. 1 ?hat is the e9/iva*ent height () water
2 ?hat is the e9/iva*ent height in ter"s () (i* having a sp.gr. ) 0.85 3 ?hat is the e9/iva*ent height in ter"s () "erc/ry having a sp.gr. ) 13.6
&"C
&"C
&"C
&"
Soluton 1 0eight in water E = Ƴwh 58.86 = !.81h h = 6 ". 2 0eight in oil E = Ƴwh 58.86 = !.81 $0.85%h h = .06 ". () (i* 3 0eight in mercury E = Ƴwh 58.86 = !.81 $13.6%h ;h = 0.44" () +g 16.)
)ree s/r)ace in "eters. Deter"ine the ga/ge press/re in Ea at a #epth () 5 ". Soluton : @ = 10 I 0.5h #E = @#h #p = $ 10 I 0.5h % #h E = 2.00 E = 10$5% I 0.5 2.00 E = 56.25 Ea
17.)he press/re in a gas tan is 2.5 at"(spheres. ("p/te the press/re hea# in "eters () water. Soluton :
pa:s = Egage I Eat" Ega/ge = 2.5 < 1 Ega/ge = 2.5 at". 1 at". = 101.33 Ea E = 1.5 $101.325 % E = @h 1.32 = !.81h h = 18.00 ".
18.) pres/re in a given tan rea#s 2 "" () +g.
1 Deter"ine the e9/iva*ent height () c(*/"n () water.
2 Deter"ine the e9/iva*ent height () c(*/"n () er(sine sp.gr. = 0.82 3 Deter"ine the e9/iva*ent height () c(*/"n () nectar sp.gr. = 2.!4
he /nit weight () a *i9/i# is varia:*e an# is given in &" an# ThT is the #epth () *i9/i# )r(" the
10h I 0.5 hC
Soluton :
1 0eight o" water
0.2 $13.6%$!.81% = h$!.81% h = 3. ". 2 0eight o" kerosine
sp.gr. = 0.82 0.2$13.6%$!.81% = h$0.82%$!.81%
h = 4.5! ". 3 0eight o" nectar
sp.gr. = <2.!4 0.2$13.6%$!.81% = h$2.!4%$!.81%
h = 1.28 ".
19.) "erc/ry :ar("eter at the :ase () the sa"e "e, an(ther :ar("eter at the t(p () a appr(priate height () the "(/ntain.
Soluton :
=
= 10h
!810$13.6%$0.62%<!810$13.6%$0.45% = 10h h = 2,268.00 ".
20.)-) the at"(spheric press/re is 101.3 Ea. n# the a:s(*/te press/re at the :(P(" () the tan as sh(wn in the fg/re is 231.3 Ea.
= !.!
1 ?hat is the specifc gravity () the (*ive (i*.
2 ?hat is the a:s(*/te press/re at the inter)ace () the (*ive (i* an# "erc/ry. 3 ?hat is the gage press/re at the inter)ace () the (*ive (i* an# the "erc/ry. Soluton :
1 Specifc gravity o" olive oil.
101.30 I !.! $.8!%$1.5% I !.!$2.5% I !.!$S%$2.!% I 13.6$6.!%$0.4% = 2.31.3 28.44!$sp.gr% = 3!.0123
Sp.gr. = 1.3 $sp.gr. ) (*ive (i*%
2 ,solute pressure at the inter"ace o" olive oil and mercury.
= 101.3 I !.81$0.8!%$1.5% I !.81$2.5% I !.81$1.3%$2.!% = 1.!0 Ea.
3 )age pressure at the inter"ace o" olive oil and mercury. = !.81$0.8!%$1.5% I !.81$2.5% I !.81$1.3%$2.!%
= 6.60 Ea.
"(/ntain rea#s 450 "". ss/"ing w () air is t( :e c(nstant at 10 &", what is the
E2 E1 Iwh
E2 < E1
Ƴ+2 &"
Ea:s
