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NEET CHEMISTRYEquilibriumEasy

Question

4 gm of NaOH is dissolved in 1000 ml of water. The H+\text{H}^+ ion concentration will be:

A

101 M10^{-1} \text{ M}

B

1013 M10^{-13} \text{ M}

C

104 M10^{-4} \text{ M}

D

1010 M10^{-10} \text{ M}

Step-by-Step Solution

First, we calculate the molarity of the NaOH\text{NaOH} solution. Molar mass of NaOH=23+16+1=40 g/mol\text{NaOH} = 23 + 16 + 1 = 40 \text{ g/mol}. Number of moles of NaOH=Given massMolar mass=4 g40 g/mol=0.1 mol\text{NaOH} = \frac{\text{Given mass}}{\text{Molar mass}} = \frac{4 \text{ g}}{40 \text{ g/mol}} = 0.1 \text{ mol}. Volume of solution =1000 ml=1 L= 1000 \text{ ml} = 1 \text{ L}. Molarity (MM) =Moles of soluteVolume of solution in L=0.11=0.1 M= \frac{\text{Moles of solute}}{\text{Volume of solution in L}} = \frac{0.1}{1} = 0.1 \text{ M}. Since NaOH\text{NaOH} is a strong base, it completely dissociates into Na+\text{Na}^+ and OH\text{OH}^- ions in aqueous solution . Therefore, the concentration of hydroxyl ions, [OH]=0.1 M=101 M[\text{OH}^-] = 0.1 \text{ M} = 10^{-1} \text{ M}. We know the ionic product of water, Kw=[H+][OH]=1014K_w = [\text{H}^+][\text{OH}^-] = 10^{-14} at 298 K298 \text{ K} . Thus, [H+]=Kw[OH]=1014101=1013 M[\text{H}^+] = \frac{K_w}{[\text{OH}^-]} = \frac{10^{-14}}{10^{-1}} = 10^{-13} \text{ M}. Hence, the H+\text{H}^+ ion concentration is 1013 M10^{-13} \text{ M}.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Equilibrium. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYEquilibriumdissolvedconcentration

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