Answer:
0.50 atm
Explanation:
Step 1: Calculate the total number of gas moles
The total number of moles is equal to the sum of the number of moles of each gas.
n = nXe+ nH₂ + nAr
n = 0.60 mol + 0.50 mol + 0.40 mol = 1.5 mol
Step 2: Calculate the mole fraction of hydrogen
The moe fraction of hydrogen is the quotient between the number of moles of hydrogen and the total number of moles.
ΧH₂ = 0.50 mol / 1.5 mol = 0.33
Step 3: Calculate the partial pressure of hydrogen
Given the total pressure (P) is 1.5 atm, we can calculate the partial pressure of hydrogen using the following expression.
pH₂ = P × ΧH₂
pH₂ = 1.5 atm × 0.33 = 0.50 atm
