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

1 year 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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