【答案解析】[题解] 由空气的压焓图查得:
h
1 (0.101 MPa,293 K)=295
kJ/kg
h
2 (2.02 MPa,293 K)=291 kJ/kg
h
3 (2.02 MPa,233 K)=228 kJ/kg
h
f (0.10 MPa,饱和液体)=-126 kJ/kg
s
1
(0.101 MPa,293 K)=6.83 kJ/(kg·K)
s
2 (2.02
MPa,293 K)=5.95 kJ/(kg·K)
s
3 (2.02 MPa,223
K)=5.71 kJ/(kg·K)
假设为等熵膨胀,s
e=s
3,于是在0.101 MPa和98 K时,h
e=97
kJ/kg。液
化率可通过教材公式(14-72)求出,式中x=q
me/q
m=0.7,将热力参数值
代入后求得液化率为:
y=(295-291)/(295+126)+0.7×[(228-97)/(295+126)3=0.227
单位质量压缩空气通过膨胀机的膨胀功为:
W
e/q
m=x(h
3-h
e)=0.7×(228-97)kJ/kg=91.7
kJ/kg
压缩机需用的压缩功为:
-W/q
m=T
1
(s
1-s
2)-(h
1-h
2)
=[293×(6.83-5.95)-(295-291)]kJ/kg=253.8
kJ/kg
由于膨胀功被用于压缩过程,故压缩单位质量空气所需的净功为:
-W
net/qm=W/q
m-W
e/q
m
=[T
1
(s
1-s
2)-(h
1-h
2)]-x(h
3-h
e)
=[293×(6.83-5.95)-(295-291)-0.7×(228-97)]
=162.11 kJ/kg
则液化单位质量气体所需的净功为:
