00:01
Hi, in this question we have air which is compressed by an adiabatic compressor from 100 kpa.
00:09
So we have p1 given as 100 kpa and the value of inlet temperature of air that is t1 is equals to 20 degree celsius to p2 which is 1 .8 mpa and at temperature 400 degree celsius.
00:32
So now air enters the compressor through a opening having area given as 0 .15 m2 with a velocity of 30 m per second and it exits through the area a2 given as 0 .076 m2.
00:55
So we have to calculate the mass flow rate of air and the required power input.
01:01
Now from ideal gas equation we can write that the value of rho1 will be equals to p1 divided by rt1.
01:14
So we will get this value as 100 divided by r which is 0 .287 into 20 plus 273 as it was in 400 degree celsius.
01:27
So we get the value of rho1 as 1 .189 kg per meter cube.
01:37
So the mass flow rate of air that is m is equals to rho1 a1 v1.
01:47
So we can calculate the value of m as 1 .189 into 0 .15 into 30 which gives the value of mass flow rate of air as 5 .3505 kg per second.
02:12
Now density of air at exit can be calculated as rho2 equals to 1800 divided by 0 .287 into 400 plus 273...