The volume in cm3 3 of a 0.12 moldm−3 − 3 HCl required to completely neutralize a 20cm3 3 of 0.20 moldm−3 − 3 of NaOH is

Assessment: JAMB UTME - Chemistry - 2024 Subject: Chemistry

Question 1 Report

The volume in cm3 3  of a 0.12 moldm−3 − 3  HCl required to completely neutralize a 20cm3 3  of 0.20 moldm−3 − 3  of NaOH is 
Answer Details

To find the volume of HCl that is required to completely neutralize the NaOH solution, we need to use the concept of a neutralization reaction. A neutralization reaction occurs when an acid and a base react to form water and a salt, thus neutralizing each other.


In this particular reaction, the balanced chemical equation is:


HCl + NaOH → NaCl + H2O


Here, the equation tells us that one mole of HCl reacts with one mole of NaOH. Therefore, the molar ratio of HCl to NaOH is 1:1.


First, let's determine the number of moles of NaOH present in 20 cm3 solution:


Number of moles of NaOH = Concentration (mol/dm3) × Volume (dm3)


= 0.20 mol/dm3 × 20 cm3 × (1 dm3 / 1000 cm3)


= 0.20 × 0.020


= 0.004 moles


Since the reaction is in a 1:1 ratio, the number of moles of HCl required is also 0.004 moles.


Now, let's determine the volume of HCl solution required:


Volume of HCl (dm3) = Number of moles / Concentration


= 0.004 moles / 0.12 mol/dm3


= 0.03333 dm3


Convert this volume from dm3 to cm3:


0.03333 dm3 × 1000 cm3 / dm3 = 33.33 cm3


Therefore, the volume of HCl required is 33.33 cm3.

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