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(a) To find the resulting total volume after mixing the two solutions, you simply add the volumes of the two solutions together. So, 10 cm³ + 10 cm³ = 20 cm³. Therefore, the resulting total volume is 20 cm³.
(b) The resulting hydronium ion concentration can be calculated using the concept of neutralization. Since nitric acid (HNO₃) reacts with calcium hydroxide (Ca(OH)₂) to form water (H₂O) and calcium nitrate (Ca(NO₃)₂), the number of moles of hydronium ions produced is equal to the number of moles of nitric acid added. As the volume remains the same (20 cm³), the concentration will be 2 moles / 20 cm³ = 0.1 mol/cm³.
(c) Finally, to determine the resulting molarity of the base solution after the reaction, you need to consider the reaction. Since 10 cm³ of a 1 M solution of calcium hydroxide is reacted completely with the nitric acid, which is in a 2 M solution, it will neutralize 10 cm³ of the 2 M solution. The remaining 10 cm³ of the 2 M solution will have its concentration unchanged. Therefore, the resulting molarity of the base solution after the reaction is 1 M.
I hope this helps you understand the calculations and concepts involved in this question! Let me know if you need further clarification.
