A special gas mixture is used in bacterial growth chambers which contains 5.00% by mass of CO2 and 95.0% O2. If the mole fraction of CO2 and O2 in the mixture is 0.0998 and 0.2340, respectively. What is the partial pressure in atmospheres of O2 and CO2 gases at a total pressure of 0.6880 atm?
CO2 = 0.0687 atm and O2 = 0.161 atm
CO2 = 0.000494 atm and O2 = 0.2223 atm
CO2 = 0.0998 atm and O2 = 0.2340 atm
CO2 = 0.6536 atm and O2 = 0.0344 atm
CO2 = 0.0687 atm and O2 = 0.161 atm.
To find the partial pressure of each gas, we need to use the mole fractions and total pressure given in the problem:
partial pressure of CO2 = mole fraction of CO2 x total pressure
partial pressure of O2 = mole fraction of O2 x total pressure
Plugging in the numbers, we get:
partial pressure of CO2 = 0.0998 x 0.6880 atm = 0.0687 atm
partial pressure of O2 = 0.2340 x 0.6880 atm = 0.161 atm
Therefore, the correct answer is A: CO2 = 0.0687 atm and O2 = 0.161 atm.
To find the partial pressure of CO2 and O2 gases, we can use the mole fraction and the total pressure.
The mole fraction of a component in a gas mixture is given by the ratio of the number of moles of that component to the total number of moles in the mixture.
Given that the mole fraction of CO2 is 0.0998, we can calculate the moles of CO2:
moles of CO2 = mole fraction of CO2 * total moles of gas
moles of CO2 = 0.0998 * total moles of gas
Similarly, the moles of O2 can be calculated using its mole fraction of 0.2340:
moles of O2 = mole fraction of O2 * total moles of gas
moles of O2 = 0.2340 * total moles of gas
Since the gas mixture contains only CO2 and O2, the total moles of gas is the sum of the moles of CO2 and O2:
total moles of gas = moles of CO2 + moles of O2
Now, to calculate the partial pressure of each gas, we can use the ideal gas law, which states that the pressure of a gas is equal to the product of its mole fraction and the total pressure:
partial pressure of CO2 = mole fraction of CO2 * total pressure
partial pressure of CO2 = 0.0998 * 0.6880 atm
partial pressure of O2 = mole fraction of O2 * total pressure
partial pressure of O2 = 0.2340 * 0.6880 atm
Calculating these values, we get:
partial pressure of CO2 = 0.0687 atm
partial pressure of O2 = 0.161 atm
Therefore, the correct answer is CO2 = 0.0687 atm and O2 = 0.161 atm.