A 10L flask at 298K contains a gaseous mixture of CO AND CO2 at a total pressure of 4atm.if 0.20 mole OF CO is present ;find the partial pressure of CO and that of CO2
To find the partial pressure of CO and CO2, we need to use the mole fraction of each gas.
1. Calculate the total number of moles of the mixture:
- Total moles = Moles of CO + Moles of CO2
- Total moles = 0.20 moles + Moles of CO2
2. Convert the moles of CO to moles of CO2:
- Since we know the mole ratio of CO to CO2 is 1:1, the moles of CO2 would also be 0.20 moles.
3. Calculate the mole fraction of CO:
- Mole fraction of CO = Moles of CO / Total moles
- Mole fraction of CO = 0.20 moles / (0.20 moles + 0.20 moles)
4. Calculate the mole fraction of CO2:
- Mole fraction of CO2 = Moles of CO2 / Total moles
- Mole fraction of CO2 = 0.20 moles / (0.20 moles + 0.20 moles)
5. Calculate the partial pressure of CO:
- Partial pressure of CO = Mole fraction of CO * Total pressure
- Partial pressure of CO = Mole fraction of CO * 4 atm
6. Calculate the partial pressure of CO2:
- Partial pressure of CO2 = Mole fraction of CO2 * Total pressure
- Partial pressure of CO2 = Mole fraction of CO2 * 4 atm
Now let's calculate the values:
Mole fraction of CO = 0.20 moles / (0.20 moles + 0.20 moles) = 0.5
Mole fraction of CO2 = 0.20 moles / (0.20 moles + 0.20 moles) = 0.5
Partial pressure of CO = 0.5 * 4 atm = 2 atm
Partial pressure of CO2 = 0.5 * 4 atm = 2 atm
Therefore, the partial pressure of CO is 2 atm and the partial pressure of CO2 is also 2 atm.
To find the partial pressure of CO and CO2 in the gaseous mixture, you need to use the mole fraction of each gas.
Here's how you can calculate it step by step:
Step 1: Calculate the moles of CO2 present in the mixture.
Since the total number of moles in the mixture is given as 0.20 mole of CO, the number of moles of CO2 can be determined by subtracting the moles of CO from the total moles.
Moles of CO2 = Total moles - Moles of CO
Moles of CO2 = 0.20 mole - 0.20 mole (since there is no CO2 initially given)
Moles of CO2 = 0 mole
Step 2: Calculate the mole fraction of CO and CO2 in the mixture.
The mole fraction (X) of each gas can be calculated using the formula:
Mole fraction of a gas = Moles of that gas / Total moles
Mole fraction of CO = Moles of CO / Total moles
Mole fraction of CO2 = Moles of CO2 / Total moles
In this case, the total moles are given as 0.20 mole of CO. Therefore:
Mole fraction of CO = 0.20 mole CO / 0.20 mole CO
Mole fraction of CO = 1
Mole fraction of CO2 = 0 mole CO2 / 0.20 mole CO
Mole fraction of CO2 = 0
Step 3: Calculate the partial pressures of CO and CO2.
The partial pressure of each gas can be calculated using the formula:
Partial pressure of a gas = Mole fraction of that gas × Total pressure
Therefore:
Partial pressure of CO = Mole fraction of CO × Total pressure
Partial pressure of CO = 1 × 4 atm
Partial pressure of CO = 4 atm
Partial pressure of CO2 = Mole fraction of CO2 × Total pressure
Partial pressure of CO2 = 0 × 4 atm
Partial pressure of CO2 = 0 atm
So, the partial pressure of CO is 4 atm, and the partial pressure of CO2 is 0 atm.