wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The temperature and pressure of air in a large reservoir are 400 K and 3 bar respectively. A converging diverging nozzle of exit area 0.005m2 is fitted to the wall of the reservoir as shown in the figure. The static pressure of air at the exit section for isentropic flow through the nozzle is 50 kPa. The characteristic gas constant and the ratio of specific heats of air are 0.287 kJ/kgK and 1.4 respectively

The density of air in kg/m3 at the nozzle exit is

A
0.560
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.600
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0.727
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
0.800
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 0.727
(c)
Density of air in (kg/m3) at nozzle exit is
p1ργ1=p2ργ2
where ρ=Density
ρ2=(p2ρ1)1γρ1
Also,
p1V1=mRT1
p1RT1=mV1; ρ1=p1RT1
=ρ2(50300)1/1.4×3×1050.287×1000×400
=0.727kg/m3

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Tension
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon