Question

A mixture of 1.50 mol Ar and 3.50 mol CO2 has a total pressure of 3.40 atm. Calculate the partial pressure (atm) of CO2.

a. 1.36
b. 2.04
c. 2.72
d. 3.40

Answer 1

The partial pressure of CO2 is calculated by finding the mole fraction of CO2 in the mixture and multiplying it by the total pressure. The resulting partial pressure of CO2 is 2.38 atm.

Step-by-step explanation:

To calculate the partial pressure of CO2 using Dalton's law of partial pressures, we need to use the mole fraction of CO2 in the gas mixture and multiply it by the total pressure. The mole fraction is obtained by dividing the moles of CO2 by the total number of moles of gases present.

First, calculate the total moles of gas: 1.50 mol Ar + 3.50 mol CO2 = 5.00 mol total.

Next, find the mole fraction of CO2: 3.50 mol CO2 / 5.00 mol total = 0.70.

Finally, calculate the partial pressure of CO2: 0.70 (mole fraction of CO2) × 3.40 atm (total pressure) = 2.38 atm.