The quantity of CO₂ in 500ml of soda water when packed under 2.5 atm CO₂ pressure at 298 k is ______ gm (Henry's law constant 1.67 × 10⁸ pa at 298K)
 

 Henry's law states that P_CO2 = K_Hx.

Here, x is the amount of carbon dioxide per mole of the carbon dioxide and water mixture.

2.5 atm = 2.5 x1.01325 x10⁵ Pa = 2.533125 x10⁵ Pa 

moles of CO₂/(moles of CO₂ + moles of H₂O)~ moles of CO₂/moles of H₂O 

as mole of CO₂ are insignificant in contrast to the amount of moles of water
500 ml of water equals 500 g of water, which equals 500/18, or 27.78 moles of water.
Therefore, moles of CO₂ = 0.042 moles

moles of CO2/27.78 = 0.00152.
Therefore, 0.042 * 44 = 1.848 g of CO₂ are present in 500 ml of soda water.

Hence option(B)- 1.86 is correct.