J.R. S. answered 10/28/22
Ph.D. University Professor with 10+ years Tutoring Experience
To find the total pressure, we need to find the partial pressure of the third gas, and then just add that to the pressures of gas A and gas B to get total pressure.
Refer to Dalton's Law of partial pressure
Ideal gas law: PV = nRT where P=pressure; V=volume; n=moles; R=gas constant; T=temperature
Solving for the pressure (P) of the third gas: P = nRT/V
P = (0.230 mol)(0.0821 Latm/Kmol)(310K) / 8.30 L
P = 0.705 atm
Total Pressure = 0.294 atm + 0.843 atm + 0.705 atm
Total Pressure = 1.842 atm