Answer to Question #224406 in General Chemistry for Queen

Question #224406

What are the partial pressures And the total pressures of the gases in a 3.7 L balloon, if the balloon is filled with 2.6 moles of gas 1, and 4.8 moles of gas 2 at 58 degrees Celsius?


1
Expert's answer
2021-08-16T02:50:05-0400

number of moles of gas 1 = 2.6 moles

number of moles of gas 2 = 4.8 moles

Total number of moles = 2.6 + 4.8 = 7.4 moles

Temperature = 57°C = (273 + 58)K = 331K


mole fraction of gas 1 = "2.6\/ 7.4 =0.351"

mole fraction of gas 2 = "4.8\/7.4= 0.649"


Using, "PV =nRT"

"P = \\dfrac{nRT}{V} = \\dfrac{7.4\u00d7 8.314\u00d7 331}{3.7\u00d710^{-3}}"


"= 5.504MPa"


Partial pressure of 1 "= 0.351\u00d7 5.5MPa" "= 1.93MPa"

Partial pressure of 2 = "0.649 \u00d7 5.5MPa"

"= 3.57MPa"

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