Assuming that Ba(OH)₂ is completely ionised in aqueous solution under the given conditions the concentration of H₃O⁺ ions in 0.005 M aqueous solution of Ba(OH)² at 298 K is ______________ $$\times$$ 10^$$-$$12 mol L^$$-$$1. (Nearest integer)

CO₂ gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO₂ exerts a partial pressure of 0.835 bar then x m mol of CO₂ would dissolve in 0.9 L of water. The value of x is ____________. (Nearest integer)

(Henry's law constant for CO₂ at 298 K is 1.67 $$\times$$ 10³ bar)

For the reaction

A + B $$\rightleftharpoons$$ 2C

the value of equilibrium constant is 100 at 298 K. If the initial concentration of all the three species is 1 M each, then the equilibrium concentration of C is x $$\times$$ 10^$$-$$1 M. The value of x is ____________. (Nearest integer)

Value of K_P for the equilibrium reaction

N₂O_4(g) $$\rightleftharpoons$$ 2NO_2(g) at 288 K is 47.9. The K_C for this reaction at same temperature is ____________. (Nearest integer)

(R = 0.083 L bar K^$$-$$1 mol^$$-$$1)