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The cylinder shown has a piston top and contains an ideal gas. There is no friction
between the piston and the cylinder walls. The cylinder is immersed in affip htrr
ffiandis.allout9dlpcometothermalequilibriumwithitssurroundings.
The piston
i
ir tttrtl-*fiffi ilfi**d very slowly in such a way that the gas is always
with the suffoundings.
tSbTltep-r4qL -::=)
f
) U\hh
0
b s{ u'r C"$.l&utrru
a) Please put a checkmark in the cell that best describes what happens to each
the following quantities in this process:
Increosps
Stays the same
Decreases
〆
Volume of the gas
Temperature of the gas
〆
/
Internal energy of the gas
〆
Pressure of the gas
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VT
Piston fmal
position
of
sb
鴻 と書
I
PJ
Ll0hlTTssT
H;r#rgfr
鶴
P↓
Sketch the process on the P-V diagram provided. Be sure to
indicate which point is the initial state and which is the final state.
b)
c) Circle whether the following quantities are positive, negative or
zero, and explain
・
your answers.
positive
Work done on the gas:
θ「
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′
助 ″α
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DOし 、 N臨
Zθ ′θ
酬 Fi和二
場涎
negative
・ Hctt transfer to the gas:
Explanation:
Ъ
T陀
Entropy change of the gas:
negotive
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可
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z`rθ
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ir)rlC$ fr>
ん 《御 、出
轟
Explanationr
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o
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F
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When a system is taken from an initial to a final state along
path i-c-f, there is 82 J of heating, and the system does 30 J of
work'
Q,c$
$8LY
W,*-F
= - 3oS
→ &:凛 鮮 J与
a)HOW much heating occurs along the pa■
52・
￨
懸T:
イヂifthe
′
y
WOrk done is 10 J?
ムu.lι F 7△ ui農 《 =5λ 丁
Ⅷ i奔 ‐ ―16丁
Qil{ F
Al.J.
-hl = l"r-S
■
「
.ι
QliJ/=
b) The system is returned to the initial state (i)
the
along the curved path shown in the diagram.
If
stem is 20 J along the curved PFth:
i)
What happens to the gas along the curved path (circle one):
ii)
by how much?
λ″″″″
八u icT=一 lu,Fム uFぇ 聟T5ユ √
ヾft=十 島 ご
▼
△Ц
ギ
i摯
WFl嗜 %だ
-72丁
?
和F「 ≒ル
c) Find the real efficiency of the cycle i-c-J-i.
ぼ4`'ル
=‐
30J斗
こ畿:こ
上DJ=‐
「
%=
J■ J一 ヵ √ 毛―■
101←
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y
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3.
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P
One mole of an ideal gas is confined to a container with a movable
piston. The P-V diagram shown describes a cyclic process made up
of three legs: I, II and II in the figure. The cycle goes X-Y-Z-X...
\ &u*n[
Compare the net energyllansfelred to the gas through heating/cooling
with the net amount of work done by/on the gas in one cycle:
L職 懇 1::
\\{NE.\
a) You need to know the pressures
and volumes in order to
determine which amount of energy transfer is bigger.
b)The net quantity ofenergy transferred to the gas through heating/cooling is greater than
the net work done by/on the gase
C)The net quattity Ofenergy trmsferred to the gas through hetting/cooling is less than the
net work done by/on the gas.
1:￨∬
::乱 1じ た
I篇 :1「
γ :認百
gaS thrOugh hetting/,001ing iS the same
ttil逸
C)The net quttltity ofenergy transferred to the gas through hetting/cooling can be greater
than orless than the net work done by/on the gas,depending on the temperatures。
Block 2
４
Block l
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ぐ ︱ も
tt=∫
√
=ぶ
5翁 Vlお
d)
つ
粍
臥 墓 M、
・
infinitely long pipeo ln the sectton shown,the pipe narows
fronl a diameter of 4 cm to a diameter of χ cm,and the nuid is
■owing through the narow region at a speed of 3 m/s. What
is the■ ow speed olmtte7■ 滅止i≧ 山島wide r2里 On pfthe pipe?
a)(12)m/s
b)(16/3χ 2)m/S
C)
(4χ /3)m/s
A,
v, s ArV,
よ丁ザ
t Tが lL
・
(3x/4)m/s
(3χ
上 χＴ
An incompressible■ uid of unifollll denSity flows through an
ｍＬ
Ｆ ｃ
5。
m2=0045 ml
1
わ
怒
じt写 向
＼
m2=0055 ml
づ
e)
猟
V、
2/16)m/s
VI Y
VЪ
3蹴
V。 1…
rttt
$orr-r
In your physics lab you have a sample of a pure compound
ネ麒 iS COntained in a closed,well― insulated containero The
r4
6。
MttLTr唱
sample is heated at a constant rate and its temperature is
recordedo The data are show in the grapho Which ofthe
following conclusions isjusdfied from the data shown?
Titue(**,)
The sample was initially at its melting temperature.
Atz}minutes the sample was completely
gas.
The sample gas was heated above its boiling temperature.
The heat of vaponzation is greater than the heat of fusion.
At
'l
.
10 minutes the sample was completely
liquid.
P
The P-V diagram shown at the right describes a 3-leg cyclic
process, that goes l-2-3-l-2-3... as shown. The mass of the gas
is constant. Circle the Pressure vs Temperature graph that best describes this
cycle, or select E if none describe this cycle.
:→ 色
■シ 3
3二り l
P
T
E
8。
Of
none
the above are correct
The pressure and volume ofan enclosed sa7mple ofan ideal gas Ere
mettsured at hvo di]腱 renttimes during tt experiment,shown as
P
・
よル ι
認
:胤
魔
LTl豊
竃竃
∬
熙鷲
∬
朦
鑢d tte same"mpe
lfyes,then seled the lower case letter s
■lat represents this case on thc P‐ V diaF,m. Ifno,select“ not possible。
a)a
- 1 臥
Ⅵ―
d)d
e) not possible
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