The balanced chemical equation for the reaction between HI and RbOH is:
HI + RbOH → RbI + H2O
From the equation, we can see that 1 mole of HI reacts with 1 mole of RbOH to produce 1 mole of RbI and 1 mole of H2O.
To determine the molarity of the initial RbOH, we can use the following formula:
Molarity of RbOH = (moles of RbOH) / (volume of RbOH solution in liters)
First, let's calculate the number of moles of HI in the 300 mL sample:
moles of HI = Molarity x volume in liters
moles of HI = 2.15 mol/L x 0.3 L
moles of HI = 0.645 mol
Since 1 mole of HI reacts with 1 mole of RbOH, the number of moles of RbOH used in the titration is also 0.645 mol.
Now, we can use the volume and concentration of the RbOH solution to calculate its molarity:
Molarity of RbOH = (moles of RbOH) / (volume of RbOH solution in liters)
Molarity of RbOH = 0.645 mol / 0.212 L
Molarity of RbOH = 3.04 M
Therefore, the molarity of the initial RbOH solution was 3.04 M, which corresponds to the aqua green option.