Question

At \(T(K)\), the molarity of \(CO_2\) in \(200\ mL\) of soda water packed under a pressure of \(3.4\ bar\) is \(\left(K_H\right.\) of \(CO_2\) in water is \(1.7\times 10^3\ bar\) at \(T(K)\left.\right)\)

• A. \(2.0\times 10^{-2}\)
• B. \(1.11\times 10^{-1}\)
• C. \(2.22\times 10^{-1}\)
• D. \(5.1\times 10^{-2}\)

Hint:

Henry's law is given by \[ p=K_Hx \] For dilute aqueous solutions, molarity can be estimated by multiplying mole fraction of gas by \(55.5\), the approximate molarity of water.

Answer 1

The Correct Option is B

Step 1: Determine CO₂ concentration via Henry's law.
x = p/K_H = 3.4/(1.7×10³) = 2.0×10⁻³. Moles in 1 L water: n = x × 55.5 = 0.111 mol. Molarity = 0.111 M = 1.11×10⁻¹ M.

Step 2: Final Answer:
1.11×10⁻¹ (option 2).