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CO(g)is dissolved in H2Oat 25°C and 0.010 atm. Henry’s law constant for this system is 5.80 x104 atm. Thus, mole fraction of CO(g)is
  • a)
    1.72 x 10-7
  • b)
    8.28 x 10-7
  • c)
    0.99
  • d)
    0.01
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
CO(g)is dissolved in H2Oat 25°C and 0.010 atm. Henry’s law ...
The mole fraction of a gas in solution is related to partial pressure of the gas above the solution by Henry’s law.
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CO(g)is dissolved in H2Oat 25°C and 0.010 atm. Henry’s law ...
Henry's Law:

- States that the amount of gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the liquid.
- Mathematically it can be represented as P = kH x mole fraction, where P is the partial pressure of the gas, kH is the Henry's Law constant, and mole fraction is the ratio of moles of the gas to the total moles of the gas and liquid.

Given information:

- CO(g) is dissolved in H2O at 25°C and 0.010 atm.
- Henry's Law constant for this system is 5.80 x 10^4 atm.

To find: Mole fraction of CO(g)

Solution:

Using Henry's law equation, we can write:

P = kH x mole fraction

Here, P = 0.010 atm and kH = 5.80 x 10^4 atm.

Substituting these values, we get:

0.010 atm = (5.80 x 10^4 atm) x mole fraction

Solving for mole fraction, we get:

Mole fraction = 0.010 / (5.80 x 10^4) = 1.72 x 10^-7

Therefore, the mole fraction of CO(g) is 1.72 x 10^-7.

Hence, option A is the correct answer.
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