At a particular temperature, the solubility of He in water is 0.080 M when the partial pressure is 1.7 atm. What partial pressure (in atm) of He would give a solubility of 0.370 M?

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Question 3 of 16
At a particular temperature, the solubility of He in water is 0.080 M when the
partial pressure is 1.7 atm. What partial pressure (in atm) of He would give a
solubility of 0.370 M?
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4
7
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atm
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X
C
x 100
Transcribed Image Text:Question 3 of 16 At a particular temperature, the solubility of He in water is 0.080 M when the partial pressure is 1.7 atm. What partial pressure (in atm) of He would give a solubility of 0.370 M? Tap here or pull up for additional resources 1 4 7 +/- atm 2 3 5 6 8 9 0 Submit X C x 100
Expert Solution
Step 1: Statement for Henry's Law

     Henry’s law states that the solubility of a gas in a liquid is proportional to the partial pressure of the gas on the surface of the liquid. Henry's law can be expressed mathematically as follows

 bold italic P bold italic cross times bold italic K subscript bold italic H bold italic equals bold italic s bold italic o bold italic l bold italic u bold italic b bold italic i bold italic l bold italic i bold italic t bold italic y bold rightwards arrow bold left parenthesis bold 1 bold right parenthesis

Where;

  • P is the partial pressure of the gas (in atm)
  • KH is the Henry's law constant for the gas-liquid system
  • C is the concentration/solubility of the gas in the liquid (in mol/L)

Provided, the solubility of He in water is 0.080 M when the partial pressure is 1.7 atm. i.e. the Henry’s law constant for the He-water system at this temperature is calculated as bold italic K subscript bold italic H bold italic equals fraction numerator bold italic 0 bold italic. bold italic 080 bold italic space bold italic M bold italic space over denominator bold italic 1 bold italic. bold italic 7 bold italic space bold italic a bold italic t bold italic m end fraction bold italic space bold italic rightwards double arrow bold italic space bold italic 0 bold italic. bold italic 0470 bold italic space bold italic M bold italic. bold italic a bold italic t bold italic m to the power of bold italic minus bold italic 1 end exponent

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