che thermodynamics 1 reviewer
TRANSCRIPT
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ChE Thermodynamics 1
QUIZ 1
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PROBLEM 1
An astronaut weighs 730 Nin Houston, Texas where the
local acceleration of gravityis 9.792 ms2. !hat are theastronaut"s mass # weighton the moon, where g $%.&7 ms2'
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PROBLEM 1: ANSWER
m $ 7(.))
*g+ $ %2(.) N
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PROBLEM 2
+ive masses in a region wherethe accelertion ue to gravityis 30.) fts2 are as follows- m%is
)00 g of mass m2weighs /00
gf, m3weighs %) ounals m(
weighs 3 l1f, m)is 0.%0 slug ofmass. !hat is the total mass
exresse in a grams 1
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PROBLEM 2: ANSWER
a mt$
((&(.)( g
1 9./3( l1c 0.30)) slug
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PROBLEM 3
The mass of a given airlane atsea level g $ 32.% fs2 is %0tons. +in its mass in l1, slugs# *g an its weight in l1 whenit is travelling at a )0,0004ft
elevation. The acceleration ofgravity ecreases 1y 3.33 %04&
fs2for each foot 1y
elevation.
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PROBLEM 3: ANSWER
m l1 $ 20000 l1
m slug $&2%.&2 slugm *g $ (0/0 *g
+ $ %9/(/ 32 l1f
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PROBLEM 4
The mass of a 5uisystem is 0.3%% slug,
its ensity is 30 l1ft3#g is 3%.9/ fs2. +in a
the seci6c volume 1seci6c weight # c
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PROBLEM 4: ANSWER
a 0.0333
ft3l11 29.7(
l1fft3
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PROBLEM 5
Two liuis of i8erentensities %$ %)00 *gm
3, 2
$ )00 *gm3 are ouretogether into a %004 tan*,6lling it. :f the resulting ensity
of the mixture is /00 *gm3
.+in the resective uantitiesof liuis use. Also, 6n the
weight of the mixture *gf g
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PROBLEM 5: ANSWER
m%$ () *g
m2$ 3) *g
+ $ 79 *gf
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PROBLEM 6
;iven the 1arometric ressure of%(.7 si, ma*e these conversions-
a/0 sig to sia # to atm g
1%0 sia to sivac # to siac%0 sia to sivac # to
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PROBLEM 6: ANSWERa
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PROBLEM 7
A ea4weight gauge with a %4cm4iameter iston is use tomeasure ressures very
accurately. :n a articular instancea mass of &.%( *g incluing iston# an 1rings it into 1alance. :f the
local acceleration of gravity is 9./2ms, what is the gauge ressure1eing measure' :f the 1arometric
ressure is 7(/ torr, what is the
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PROBLEM 7: ANSWER
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PROBLEM 8
=erive the
relation
1etween+arenheit #
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PROBLEM 8: ANSWER
o> $ )9o+ ?
32o
+ $ 9)o
> @ 32
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PROBLEM 9
how that the
seci6c heat of asu1stance in
BTCl1o+ isnumerically eual
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PROBLEM 9: ANSWER
%
calgo>
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PROBLEM 10
An instrument to measure theacceleration of gravity on Dars isconstructe of a sring from which
is susene a mass of 0.(0 *g. Ata lace on earth where the sringextens %.0/ cm. !hen the
instrument ac*age is lane onDars, it raios the information thatthe sring is extene 0.(0 cm.
!hat is the marsian acceleration
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PROBLEM 10: ANSWER
g2$ 3.&3
ms2
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PROBLEM 11
The variation of 5ui ressure withheight is escri1e 1y the i8erentialeuation-
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PROBLEM 11: ANSWER
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PROBLEM 12
A gas con6ne in a %.2) ft4iameter cyliner 1y aiston an weight together is 2)0 l1m. The localacceleration of gravity is 32.%&9 fts2an atmoshericressure is 30.%2 inHg.
a !hat is the force in l1f exterte on the gas 1y the
atmoshere, the iston an the weight, assuming nofriction 1etween the iston an cyliner'
1 !hat is the ressure of the gas in sia'
c :f the gas in the cyliner is heate, it exans,
ushing the iston an weight uwar. :f the istonan weight are raise %.7 ft, what is the wor* one1y the gas in ft l1f' !hat is the change in otentialenergy of the iston an weight'
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PROBLEM 12: ANSWER
+T$ 2/&).03 l1f
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PROBLEM 13
A 5ui moves in a steay5ow manner 1etween two
sections in a 5ow line. Atsection %, A%$ %0 ft
2, G%$
%00 fm, %$ ( ft3
l1. Atsection 2, A2$ 2 ft
2, 2$
0.20 l1ft3
.
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PROBLEM 13: ANSWER
m%$ m2$ 2)0
l1minv2 $ &2) ftmin
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PROBLEM 16
:f a um ischarges 7)gallons er minute of water
whose seci6c weight is&%.9) l1fft g $ 3%.9) fts2,6n a mass 5oware in
l1min 1 the total timereuire to 6ll a vertical
cyliner tan* %0 ft in
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PROBLEM 16: ANSWER
m $ &2).3/
l1min
t $ 9(.0% min
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PROBLEM 17
Two gaseous streams enter a com1iningtu1e # leave as a single mixture. These ataaly at the entrance section.
+or one gas, A%$ 7) m2, %$ %0 ft
3l1, v%$
)00 fts+or the other gas, A2$ )0 in
2, 2$ 0.%2
l1ft3, m2$ %&.&7 l1s
At exit, v3$ 3)0 fts, 3$ 7 ft3l1+in a the see of section 2 # 1 the 5owan area at the exit section.
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PROBLEM 17: ANSWER
av2$ (00.0/ fts
1m
3$ (2.7% l1s
A3$ 0./)(2 ft2
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PROBLEM 18
A %0 ft iameter 1y %) ftheight vertical tan* is receivingwater &2.% l1ft3 at the rate of
300 gm # is ischargingthrough a & insie iameter
line with a constant see of )fts. At a green instant the tan*is half full. +in the water level
# the mass change in the tan*
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PROBLEM 18: ANSWER
h $ 3.9% ftmass change $
%7)%).2 l1