Question

A gas is flowing through a pipe with cross section area = 40 Cm2, pressure =50 N/Cm2 and temperature =15 CO. Find the velocity through the pipe if the mass flow rate =0.5 Kg/s and the gas constant =292 j/kg ko Select one: a. 19.44 m/s O b. 21.02 m/s O c. 22.89 m/s O d. 23.4 m/s O e. 20.12 m/s

Answer 1

In this problem, we have to assume the gas to be ideal gas to solve it.

GIVEN

The pressure is given by:

$P=50N/cm^{2}$

cross-section area is given by:

A= 40cm

let V be the velocity of gas

so the volume of gas is given by:

$Vol=A\times V$

mass flow rate is given by:

$m=0.5kg/s$

the temperature of gas is given by:

$T=15=15+273K=288K$

gas constant is given by:

$R=292J/kgK$

FORMULA USED:

$P\times Vol=m\times R\times T$

SOLUTION:

$50\times V\times 40=0.5\times 292\times 288$

so,

$V=21.02m/s$

option (b) is correct.

comment if any query.