the total pressure of a mixture of a gas was measured at 0.75 atm. The total moles of the gas were also measured at 7.50. The mixture was analyzed and found to contain three gasses. The moles of gas 1 and gas 3 were found to be 2.43 and 2.17, respectively. What is the mole fraction of the second gas?

Xgas = n gas/total mols gas.

To find the mole fraction of the second gas, we need to first calculate the moles of the second gas.

Given:
Total pressure = 0.75 atm
Total moles of gas = 7.50
Moles of gas 1 = 2.43
Moles of gas 3 = 2.17

To find the moles of the second gas, subtract the sum of the moles of gas 1 and gas 3 from the total moles of gas:

Moles of gas 2 = Total moles of gas - (Moles of gas 1 + Moles of gas 3)
= 7.50 - (2.43 + 2.17)
= 7.50 - 4.60
= 2.90

Next, we can calculate the mole fraction of the second gas using the formula:

Mole fraction of second gas = Moles of gas 2 / Total moles of gas

Mole fraction of second gas = 2.90 / 7.50
≈ 0.3867

Therefore, the mole fraction of the second gas is approximately 0.3867.