Answer: 1.71
Explanation:
According to Dalton's law, the total pressure is the sum of individual pressures.
[tex]p_{total}=p_A+p_B+p_C[/tex]
Given :
[tex]p_{total}[/tex] = total pressure of gases = 8.40 atm
[tex]p_{He}[/tex] = partial pressure of helium = 1.50 atm
[tex]p_{Ne}[/tex] = partial pressure of neon = 2.00 atm
[tex]p_{Ar}[/tex] = partial pressure of argon = ?
putting in the values we get:
[tex]8.40=1.50+2.00+p_{Ar}[/tex]
[tex]p_{Ar}=4.90[/tex]
To calculate the vapor pressure of the solution, we use the law given by Dalton, which is:
[tex]P_{total}=(p_{Ar}\times \chi_{Ar})[/tex]
We are given:
[tex]p_Ar[/tex] = partial pressure of argon = 4.90
[tex]\chi_{Ar}[/tex] = mole fraction of argon = ?
Putting values in above equation, we get:
[tex]8.40=[(4.90\times \chi_{Ar})[/tex]
[tex]\chi_{Ar}=1.71[/tex]
Thus the mole fraction of Ar is 1.71