00:01
Hello students, here we have a ethylene in the tanker that has the volume of 40 m3 and initial pressure of the tank is 30 x 10 power 5 pascal and the temperature of the container is 200 kelvin.
00:17
So it is connected to the pipe that has the length l equal to 1500 m and the diameter is d equal to 0 .2 m.
00:36
So, from this we have to calculate the volumetric flow in meter per second.
00:42
So we will get first volumetric flow.
00:53
Here the volumetric flow can be calculated using the bernoulli equation that is p1 plus half rho v1 square plus rho g h1 that is equal to p2 plus half rho v2 square plus rho g h2.
01:09
So here assume that initially the tank is at the rest position so v1 equal to 0 and p2 is 1 atmospheric pressure that is equal to 101325 pascal.
01:21
So from this we can simplify the equation as p1 plus rho g h1 that is equal to p2 plus half rho v2 square.
01:30
So here the density of the ethylene can be written as density of ethylene that is 0 .8 kg per meter cube at 200 kelvin.
01:57
So from this we can get the volumetric flow as here h1 equal to 0 and h2 equal to minus 1500 meter and initial pressure p1 equal to 30 into 10 power 5 pascal.
02:25
Substituting the values in the above bernoulli equation and reduce it we will get v2 equal to square root of 2 into p1 minus p2 divided by rho.
02:47
So we will get v2 equal to 2 into 30 into 10 power 5 minus 101325 divided by rho that is 0 .8...