A 1.100 L flask at 25 °C and 1.00 atm pressure contains CO₂(g) in contact with 100.0 mL of a saturated aqueous solution in which [CO₂(aq)] = 3.29 x 10^-2 M.

(a) What is the value of K_c at 25 °C for the equilibrium CO₂(g) ⇌ CO₂(aq)?

(b) If 0.01000 mol of radioactive ¹⁴CO₂ is added to the flask, how many moles of the ¹⁴CO₂ will be found in the gas phase and in the aqueous solution when equilibrium is re-established?