896ml of a mixture of CO and CO2 weigh 1.28g at NTP. Calculate the vol...
Calculation of CO2 volume in the mixture
To calculate the volume of CO2 in the mixture, we need to first understand the properties of CO and CO2 and how they behave under NTP (Normal Temperature and Pressure) conditions.
Properties of CO and CO2
- CO is a colorless, odorless gas that is toxic in nature.
- CO2 is a colorless gas that is non-toxic but can cause suffocation in high concentrations.
- Under NTP conditions, the density of CO is 1.25 g/L and the density of CO2 is 1.98 g/L.
Calculating the volume of CO and CO2 in the mixture
Given that the mixture of CO and CO2 weighs 1.28 g at NTP, we can calculate the total volume of the mixture using the formula:
Volume = Mass/Density
Therefore, the total volume of the mixture is:
Volume = 1.28 g/(1.25 g/L + 1.98 g/L) = 0.368 L
Next, we need to calculate the volume of CO2 in the mixture. To do this, we can use the fact that the mass of CO in the mixture is:
Mass of CO = Volume of CO x Density of CO = (0.368 - Volume of CO2) x 1.25 g/L
Substituting the value of the total volume of the mixture and simplifying the equation, we get:
(0.368 - Volume of CO2) x 1.25 g/L = 1.28 g - Mass of CO2
Now, we need to calculate the mass of CO2 in the mixture. To do this, we can use the fact that the mass of the mixture is the sum of the masses of CO and CO2:
Mass of mixture = Mass of CO + Mass of CO2
Substituting the values of the mass of CO and the total mass of the mixture, we get:
1.28 g = (0.368 - Volume of CO2) x 1.25 g/L + Mass of CO2
Simplifying the equation, we get:
Mass of CO2 = 1.28 g - (0.368 - Volume of CO2) x 1.25 g/L
Now, we can substitute the value of the mass of CO2 in the equation we derived earlier and solve for the volume of CO2 in the mixture:
(0.368 - Volume of CO2) x 1.25 g/L = 1.28 g - (0.368 - Volume of CO2) x 1.25 g/L
Simplifying the equation, we get:
Volume of CO2 = 0.205 L
Conclusion
Therefore, the volume of CO2 in the mixture is 0.205 L.