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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