Henry Law Constant For CO2 In Water Is 1.67x108 Pa At 298 K.Calculate The Quantity Of CO2 In 500 ml Of Soda Water When Packed Under 2.5 atm CO2 Pressure At 298 K ?

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 CO2 are 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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