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Answer
[tex]P_{He}=0.330\text{ }atm[/tex]Procedure
The total pressure of a mixture of gases can be defined as the sum of the pressures of each individual gas:
[tex]P_{total}=P_1+P_2+...+P_n[/tex]The partial pressure of an individual gas is equal to the total pressure multiplied by the mole fraction of that gas.
[tex]P_i=P_{total}x_i[/tex]The molar fraction of He is determined by dividng the moles of He over the total moles
[tex]x_{He}=\frac{1.61}{(1.61+2.64)}=0.3788[/tex]Finally, the total pressure of He is
[tex]P_{He}=0.872\text{ atm}(0.3788)=0.330\text{ }atm[/tex]
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