Question

a) Calculate the density of CO2 gas at a pressure of 50 barg and a temperature of 100°C, assuming if i) ideal gas behaviour, and ii) compressibility factor of 0.877.

b) Calculate the speed of sound in CO2 at 100°C.

c) In a carbon sequestration scheme, CO2 is sent to storage in a pipe of inner diameter of 10.0 cm that is operating isothermally at 100°C. The flow is choked when the pressure is 50 barg. Calculate the mass flowrate and mass flux in the pipe, assuming a compressibility factor of 0.877.

The universal gas constant is 8314 J/kmol.K and the molecular mass of CO2 is 44.00 kg.kmol-1. The heat capacity ratio for CO2 ? is 1.45.
Atmospheric pressure is 1.01325 x 105 Pa.

Answer 1

Note given in part A is an additional information for you to understand the concept.

In part C, volume v = area (A) .velocity (V_S) and V_s Is already found in part B,

Here, velocity =speed of sound because since the flow is choked, when flow is choked that implies it's a maximum flow rate that occurs at a sonic velocity.(speed of sound)