HW help

how do i calculate the fugacity of each component of a gas mixture with 3 components:
example: 70 mol% N2, 20%O2, 10% CO2 @ 100bar 150C

cope

chat gpt says

To calculate the fugacity of each component in a gas mixture, you can use an appropriate equation of state, such as the Van der Waals equation, Redlich-Kwong equation, or Peng-Robinson equation. The fugacity of each component is dependent on the composition of the mixture, temperature, pressure, and the equation of state used.

Here's a general outline of the steps to calculate fugacity for each component using the Peng-Robinson equation of state:

1. Convert the mole fractions of each component to mole fractions (yi).
2. Calculate the compressibility factor (Z) using the Peng-Robinson equation of state.
3. Calculate the fugacity coefficient (φi) for each component using the Peng-Robinson equation of state.
4. Calculate the fugacity (fi) of each component.

Given:

• Mixture composition: 70 mol% N2, 20% O2, 10% CO2
• Pressure: 100 bar
• Temperature: 150°C (convert to Kelvin: 150°C + 273.15 = 423.15 K)

First, convert the mole fractions to mole fractions:

• N2: yi_N2 = 0.70
• O2: yi_O2 = 0.20
• CO2: yi_CO2 = 0.10

Then, using the Peng-Robinson equation of state, you would calculate Z for the given temperature and pressure. Once you have Z, you can calculate the fugacity coefficient (φi) for each component.

Finally, calculate the fugacity (fi) for each component using the following equation:

[ f_i = \phi_i \cdot P ]

Where:

• ( f_i ) is the fugacity of component i
• ( \phi_i ) is the fugacity coefficient of component i
• ( P ) is the pressure

Perform these calculations for each component, substituting the appropriate values into the Peng-Robinson equation of state and the fugacity equation, to obtain the fugacity of each component in the gas mixture.

This high school lvl chem?
I am ded if yes

are we in kindergarten? easiest question of all time LOL

Alexsei [#3]

chat gpt says

To calculate the fugacity of each component in a gas mixture, you can use an appropriate equation of state, such as the Van der Waals equation, Redlich-Kwong equation, or Peng-Robinson equation. The fugacity of each component is dependent on the composition of the mixture, temperature, pressure, and the equation of state used.

Here's a general outline of the steps to calculate fugacity for each component using the Peng-Robinson equation of state:

1. Convert the mole fractions of each component to mole fractions (yi).
2. Calculate the compressibility factor (Z) using the Peng-Robinson equation of state.
3. Calculate the fugacity coefficient (φi) for each component using the Peng-Robinson equation of state.
4. Calculate the fugacity (fi) of each component.

Given:

• Mixture composition: 70 mol% N2, 20% O2, 10% CO2
• Pressure: 100 bar
• Temperature: 150°C (convert to Kelvin: 150°C + 273.15 = 423.15 K)

First, convert the mole fractions to mole fractions:

• N2: yi_N2 = 0.70
• O2: yi_O2 = 0.20
• CO2: yi_CO2 = 0.10

Then, using the Peng-Robinson equation of state, you would calculate Z for the given temperature and pressure. Once you have Z, you can calculate the fugacity coefficient (φi) for each component.

Finally, calculate the fugacity (fi) for each component using the following equation:

[ f_i = \phi_i \cdot P ]

Where:

• ( f_i ) is the fugacity of component i
• ( \phi_i ) is the fugacity coefficient of component i
• ( P ) is the pressure

Perform these calculations for each component, substituting the appropriate values into the Peng-Robinson equation of state and the fugacity equation, to obtain the fugacity of each component in the gas mixture.

im not given a virial equation of state interestingly, so in this case wouldn't I use redlick kwong bc its a high pressure system?

trikecycle [#5]

are we in kindergarten? easiest question of all time LOL

answer it then

j3bx5597 [#6]

im not given a virial equation of state interestingly, so in this case wouldn't I use redlick kwong bc its a high pressure system?

chat gpt says

Yes, that's correct. The Redlich-Kwong equation of state is suitable for high-pressure systems, so you can use it in this case. Here's how you can proceed with using the Redlich-Kwong equation of state to calculate the fugacity of each component in the gas mixture:

1. Convert the mole fractions of each component to mole fractions (yi).
2. Calculate the parameters ( a ) and ( b ) for the Redlich-Kwong equation of state for each component.
3. Calculate the fugacity coefficient (φi) for each component using the Redlich-Kwong equation of state.
4. Calculate the fugacity (fi) of each component.

Given:

• Mixture composition: 70 mol% N2, 20% O2, 10% CO2
• Pressure: 100 bar
• Temperature: 150°C (convert to Kelvin: 150°C + 273.15 = 423.15 K)

First, convert the mole fractions to mole fractions:

• N2: yi_N2 = 0.70
• O2: yi_O2 = 0.20
• CO2: yi_CO2 = 0.10

For the Redlich-Kwong equation of state, the parameters ( a ) and ( b ) are calculated as follows:

[ a_i = 0.42748 \frac{{(R T_c)^2}}{{P_c}} ]
[ b_i = 0.08664 \frac{{R T_c}}{{P_c}} ]

Where:

• ( R ) is the gas constant (8.314 J/mol·K)
• ( T_c ) is the critical temperature (in Kelvin)
• ( P_c ) is the critical pressure (in bar)

For N2:

• ( T_c ) for N2 is approximately 126.2 K
• ( P_c ) for N2 is approximately 34.0 bar

For O2:

• ( T_c ) for O2 is approximately 154.6 K
• ( P_c ) for O2 is approximately 50.4 bar

For CO2:

• ( T_c ) for CO2 is approximately 304.2 K
• ( P_c ) for CO2 is approximately 73.8 bar

Once you have calculated ( a ) and ( b ) for each component, you can use the Redlich-Kwong equation of state to calculate the fugacity coefficient (φi) for each component. Finally, use the fugacity equation mentioned earlier to calculate the fugacity (fi) of each component.

Alexsei [#8]

chat gpt says

Yes, that's correct. The Redlich-Kwong equation of state is suitable for high-pressure systems, so you can use it in this case. Here's how you can proceed with using the Redlich-Kwong equation of state to calculate the fugacity of each component in the gas mixture:

1. Convert the mole fractions of each component to mole fractions (yi).
2. Calculate the parameters ( a ) and ( b ) for the Redlich-Kwong equation of state for each component.
3. Calculate the fugacity coefficient (φi) for each component using the Redlich-Kwong equation of state.
4. Calculate the fugacity (fi) of each component.

Given:

• Mixture composition: 70 mol% N2, 20% O2, 10% CO2
• Pressure: 100 bar
• Temperature: 150°C (convert to Kelvin: 150°C + 273.15 = 423.15 K)

First, convert the mole fractions to mole fractions:

• N2: yi_N2 = 0.70
• O2: yi_O2 = 0.20
• CO2: yi_CO2 = 0.10

For the Redlich-Kwong equation of state, the parameters ( a ) and ( b ) are calculated as follows:

[ a_i = 0.42748 \frac{{(R T_c)^2}}{{P_c}} ]
[ b_i = 0.08664 \frac{{R T_c}}{{P_c}} ]

Where:

• ( R ) is the gas constant (8.314 J/mol·K)
• ( T_c ) is the critical temperature (in Kelvin)
• ( P_c ) is the critical pressure (in bar)

For N2:

• ( T_c ) for N2 is approximately 126.2 K
• ( P_c ) for N2 is approximately 34.0 bar

For O2:

• ( T_c ) for O2 is approximately 154.6 K
• ( P_c ) for O2 is approximately 50.4 bar

For CO2:

• ( T_c ) for CO2 is approximately 304.2 K
• ( P_c ) for CO2 is approximately 73.8 bar

Once you have calculated ( a ) and ( b ) for each component, you can use the Redlich-Kwong equation of state to calculate the fugacity coefficient (φi) for each component. Finally, use the fugacity equation mentioned earlier to calculate the fugacity (fi) of each component.

Is chatgpt even available in russia

canyon [#9]

Is chatgpt even available in russia

chat gpt says

As of my last update in January 2022, ChatGPT could be accessed from various locations worldwide, including Russia. However, availability can sometimes be subject to local regulations or restrictions imposed by internet service providers or government authorities. If you're currently in Russia and experiencing difficulties accessing ChatGPT or any other online services, it might be due to such restrictions. It's recommended to check with your internet service provider or local authorities for more information on internet access in your area.

siniota [#4]

This high school lvl chem?
I am ded if yes

I'm a high school chem student, and while I'm only around 5/13 done with the course I can assure you that I've yet to see anything like it.

Alexsei [#10]

chat gpt says

As of my last update in January 2022, ChatGPT could be accessed from various locations worldwide, including Russia. However, availability can sometimes be subject to local regulations or restrictions imposed by internet service providers or government authorities. If you're currently in Russia and experiencing difficulties accessing ChatGPT or any other online services, it might be due to such restrictions. It's recommended to check with your internet service provider or local authorities for more information on internet access in your area.

We talk in english he talk he chat gpt

Answer is 28

geospliced [#11]

I'm a high school chem student, and while I'm only around 5/13 done with the course I can assure you that I've yet to see anything like it.

geo u italian spy 👊👊👊

siniota [#12]

We talk in english he talk he chat gpt

GPT is fucking useless, what equation do i use to find the fugacity coefficient tho,
its not at saturation, nor a species in solution
so is the equation just
ln(0/) = int(0->P)(zi-1)dp/p

and then i just do mol fraction times coeff times pressure?

siniota [#4]

This high school lvl chem?
I am ded if yes

Probably not, over here even in the compulsory chemistry course in first year in college this wasn't taught.

canyon [#14]

geo u italian spy 👊👊👊

😭

chickenwithrice [#7]

answer it then

To calculate the fugacity of each component in a gas mixture, you can use an appropriate equation of state, such as the Van der Waals equation, Redlich-Kwong equation, or Peng-Robinson equation. The fugacity of each component is dependent on the composition of the mixture, temperature, pressure, and the equation of state used.

Here's a general outline of the steps to calculate fugacity for each component using the Peng-Robinson equation of state:

Convert the mole fractions of each component to mole fractions (yi).
Calculate the compressibility factor (Z) using the Peng-Robinson equation of state.
Calculate the fugacity coefficient (φi) for each component using the Peng-Robinson equation of state.
Calculate the fugacity (fi) of each component.
Given:

Mixture composition: 70 mol% N2, 20% O2, 10% CO2
Pressure: 100 bar
Temperature: 150°C (convert to Kelvin: 150°C + 273.15 = 423.15 K)
First, convert the mole fractions to mole fractions:

N2: yi_N2 = 0.70
O2: yi_O2 = 0.20
CO2: yi_CO2 = 0.10
Then, using the Peng-Robinson equation of state, you would calculate Z for the given temperature and pressure. Once you have Z, you can calculate the fugacity coefficient (φi) for each component.

Finally, calculate the fugacity (fi) for each component using the following equation:

[ f_i = \phi_i \cdot P ]

Where:

( f_i ) is the fugacity of component i
( \phi_i ) is the fugacity coefficient of component i
( P ) is the pressure
Perform these calculations for each component, substituting the appropriate values into the Peng-Robinson equation of state and the fugacity equation, to obtain the fugacity of each component in the gas mixture.

j3bx5597 [#15]

GPT is fucking useless, what equation do i use to find the fugacity coefficient tho,
its not at saturation, nor a species in solution
so is the equation just
ln(0/) = int(0->P)(zi-1)dp/p

and then i just do mol fraction times coeff times pressure?

No one in here is in a college level chemical engineering or chemistry course. All the people that are in these courses are in class.
Respectfully, you should go to office hours.
Doesn't Peng-Robinson or Redlich-Kwong just need a and b values which come from critical T and P? Idk what else you would need or could find.

trikecycle [#18]

To calculate the fugacity of each component in a gas mixture, you can use an appropriate equation of state, such as the Van der Waals equation, Redlich-Kwong equation, or Peng-Robinson equation. The fugacity of each component is dependent on the composition of the mixture, temperature, pressure, and the equation of state used.

Here's a general outline of the steps to calculate fugacity for each component using the Peng-Robinson equation of state:

Convert the mole fractions of each component to mole fractions (yi).
Calculate the compressibility factor (Z) using the Peng-Robinson equation of state.
Calculate the fugacity coefficient (φi) for each component using the Peng-Robinson equation of state.
Calculate the fugacity (fi) of each component.
Given:

Mixture composition: 70 mol% N2, 20% O2, 10% CO2
Pressure: 100 bar
Temperature: 150°C (convert to Kelvin: 150°C + 273.15 = 423.15 K)
First, convert the mole fractions to mole fractions:

N2: yi_N2 = 0.70
O2: yi_O2 = 0.20
CO2: yi_CO2 = 0.10
Then, using the Peng-Robinson equation of state, you would calculate Z for the given temperature and pressure. Once you have Z, you can calculate the fugacity coefficient (φi) for each component.

Finally, calculate the fugacity (fi) for each component using the following equation:

[ f_i = \phi_i \cdot P ]

Where:

( f_i ) is the fugacity of component i
( \phi_i ) is the fugacity coefficient of component i
( P ) is the pressure
Perform these calculations for each component, substituting the appropriate values into the Peng-Robinson equation of state and the fugacity equation, to obtain the fugacity of each component in the gas mixture.

Amazing GPT response, also pretty much useless.

siniota [#4]

This high school lvl chem?
I am ded if yes

done all 3 levels of chemistry my high school offers and I can say this was not a part of the curriculum!

Fuck chemistry bro
took organic chem last semster, made me rethink if I should drop out

Nisham [#22]

Fuck chemistry bro
took organic chem last semster, made me rethink if I should drop out

chemistry is fun
it’s great and interesting if u forget about organic

siniota [#4]

This high school lvl chem?
I am ded if yes

I am in organic chem in college and I do not see shit like this

I had to look up what fugacity is

FireII [#23]

chemistry is fun
it’s great and interesting if u forget about organic

You mean inorganic?
What a fucking waste of time memorizing all those compounds, their uses and reactions. Thank God I chose to move away from chemistry.
Organic chemistry reactions have various mechanism which helps us to predict the final product, inorganic is straight memorizing.