Question

A stream of carbon dioxide (CO2) at 120 F and 100 psig is fed to
a process at a rate of 100 ft3/h.

i. Assuming ideal gas behavior, calculate the density (lbm/ft3) and
the mass flow rate of CO2 (lbm/min).

ii. Is the ideal gas equation of state a good approximation for the
given conditions.

Answer #1

i) feed rate = 100 ft^{3}/h

100 ft^{3} = 2831.68 liter thus feed rate = 2831.68
L/h

first calculate mole of CO_{2}

Use ideal gas equation for calculation of mole of gas

Ideal gas equation

PV = nRT where, P = atm pressure= 100psig = 6.8046 atm,

V = volume in Liter = 2831.68 L

n = number of mole = ?

R = 0.08205L atm mol^{-1} K^{-1}
=Proportionality constant = gas constant,

T = Temperature in K = 120F = 322.039 K

We can write ideal gas equation

n = PV/RT

Substitute the value

n = (6.80462831.68)/(0.08205322.039) = 729.22 mole

molar mass of CO_{2} = 44.01 gm then 729.22 mole =
729.22 44.01 = 32093 gm
= 70.75 lbm

density = mass/volume = 70.75/2831.68 = 0.024985
lbm/ft^{3}

mass flow rate = 70.75 lbm/h = 70.75 lbm/60 miute = 1.179 lbm/min

ii) yes ideal gas equation of state a good approximation for the given conditions.

for calculation of density we require mass of gas and for calculation of mass we require mole of gas if pressure, volume and tempreture is known we can calculate mole of gas.

A Carbon dioxide fire extinguisher initially contains 5.5lbm of
CO2 gas. In “real life” the CO2 would not be
all gas, but for this problem assume that it is. The CO2
gas has an initial pressure of 860psia and initial temperature of
+72oF. Immediately after putting out a fire, it has a
final pressure of 100psia and a final temperature of
-30oF. Assume ideal gas law behavior.
a) Show that the specific gas constant for CO2 gas is
approximately R=1131ft∙lbf/(slug∙R)....

Calcium carbonate (CaCO3) is in equilibrium with calcium oxide
(CaO) and (CO2) carbon dioxide according to the equation: ????3 ↔
??? + ??2 The equilibrium constant, K, is governed by two
equations, shown below: Equation 1: ? = 0.55? 200 ? , where T is
the temperature in Kelvin and Equation 2: ? = ???????2 ?????3 If
calcium carbonate is pumped to a reactor, operating at 585°R at a
rate of 100 lbmole/min, determine: a. the fractional conversion of
CaCO3...

Carbon dioxide (CO2) gas is compressed at steady state from 0.8
bar and 17 °C to 3.5 bar with a compressor drawing 10 kW of power.
The CO2 flows through the compressor at a rate of 0.1 m3/s through
an inlet orifice that is 200 cm2. The gas leaves the compressor at
a velocity of 12 m/s. Heat loss from the compressor to the
surroundings is roughly 2% of the power fed to the compressor. In
addition to the Give,...

A stream of pure propane (C3H8) and a stream of pure butane
(C4H10) are both fed to a continuous combustion chamber, where they
are burned with pure oxygen. Gas analysis indicates that the
product gas from the combustion chamber contains 47.4 mole% H2O.
The combustion gases are then fed to a condenser, where all of the
water vapour is removed (as condensate) to give a gas stream
containing 69.4 mole% CO2 and the balance is O2.
basis of 100 mol/min...

Sixty pounds of carbon dioxide gas are contained in a 100-ft3
rigid, insulated vessel initially at 4 atm. An electric resistor of
negligible mass transfers energy to the gas at a constant rate of
12 Btu/s for 40 seconds. Use the ideal gas model and ignore the
effects of motion and gravity. Let To = 70°F, po = 1 atm.
-Determine the change in exergy of the gas, in Btu.

Carbon dioxide, CO2, was shown to effuse through a porous plate
at the rate of 0.020 mol/min. The same quantity of an unknown gas,
0.020 moles, is found to effuse through the same porous barrier in
90. seconds. Calculate the molar mass of the unknown gas.

Carbon dioxide (CO2) is compressed in a
piston–cylinder assembly from p1 = 0.7 bar,
T1 = 280 K to p2 = 14 bar.
The initial volume is 0.2 m3. The process is described
by pV1.25 = constant.
Assuming ideal gas behavior and neglecting kinetic and potential
energy effects, determine the work and heat transfer for the
process, each in kJ, using constant specific heats evaluated at 300
K, and data from Table A-23.

1. On a mass basis a mixed gas stream consists of 3% nitric
oxide, 4% sulfur dioxide, 39% carbon dioxide, and the balance
nitrogen. Determine the molar composition and the ideal gas heat
capacity of this mixed stream.
2. The mixed gas stream of problem 1 is fed to a waste heat
boiler. In the boiler, heat is transferred from this gas stream to
a water stream, which is fed to the boiler at a saturated liquid at
25 °C....

Carbon dioxide, which is recognized as the major contributor to
global warming as a "greenhouse gas," is formed when fossil fuels
are combusted, as in electrical power plants fueled by coal, oil,
or natural gas. One potential way to reduce the amount of CO2 added
to the atmosphere is to store it as a compressed gas in underground
formations. Consider a 1000-megawatt coal-fired power plant that
produces about 7×106 tons of CO2 per year.
1. Assuming ideal gas behavior, 1.00...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 5 minutes ago

asked 8 minutes ago

asked 14 minutes ago

asked 30 minutes ago

asked 50 minutes ago

asked 50 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago