A 5. 0 l flask containing o2 at 2. 00 atm is connected to a 3. 0 l flask containing h2 at 4. 00 atm and the gases are allowed to

Question

11 months ago

13

mix. What is the mole fraction of h2? report your answer to two decimal places.

1 answer:

dsp73 · Answer 1 · 2024-09-02T23:07:21+03:00

The mole fraction of hydrogen is 0.55.

The volume of oxygen = 5 litres

The pressure of oxygen = 2 atm

The volume of hydrogen = 3 litres

The pressure of hydrogen = 4 atm

The universal gas constant is R.

R = 8.31 J mol—¹ K—¹

The ideal gas equation is,

PV = nR T

The number of moles of oxygen is,

PV = nRT

$n = \frac{ PV }{RT }$

$n = \frac{2 \times 5}{8.31 \times 273}$

n = 0.004 moles

The number of moles of oxygen is 0.004 moles.

The number of moles of hydrogen is,

PV = nRT

$n = \frac{ PV }{RT }$

$n = \frac{4 \times 3}{8.31 \times 273}$

n = 0.005 moles

The number of moles of hydrogen is 0.005 moles.

The mole fraction of hydrogen is,

$Mole \: fraction = \frac{ Moles \: of \: solute }{Total \: number \: of \: moles \: of \: solute \: and \: solvent}$

$Mole \: fraction = \frac{0.005}{0.009}$

= 0.55

Therefore, the mole fraction of hydrogen is 0.55.

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