Grade 12Physical Chemistry

Henry's law constant for in water is at 298 K. Calculate the quantity of in 500 mL of soda water when packed under 2.5 atm pressure at 298 K.

Murtaza

7 Years agoGrade 12

7 Years ago

According to Henry's law,

pCO2 = KHx

Here x is the mole fraction of carbon dioxide in the carbon dioxide water mixture.

pCO2 = 2.5 atm = 2.5 * 1.01325 * 105 Pa = 2.533125 * 105 Pa

x = mole fraction = 2.533125 * 105/ 1.67 * 108 = 0.00152

x = moles of CO2/(moles of CO2 + moles of H2O) ≈moles of CO2/moles of H2O

as mole of CO2are negligible in comparison to the number of moles of water

500 ml of water = 500g of water = 500/18 = 27.78 moles of water.

So, moles of CO2/27.78 = 0.00152 or moles of CO2 = 0.042 moles.

Hence the amount of CO2 in 500 ml of soda water is 0.042 * 44 = 1.848 g

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