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AIIMS 2010
Exam
AIIMS
Year
2010
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

AIIMS 2010 · Chemistry · Some Basic Concepts of Chemistry

Stomach acid, a dilute solution of HCl in water, can be neutralized...

Stomach acid, a dilute solution of HCl\mathrm{HCl} in water, can be neutralized by reaction with sodium hydrogen carbonate, NaHCO3(aq)+HCl(aq)→NaCl(aq)+H2O(l)+CO2(g)Howmanymillilitersof0.125MNaHCO3solutionareneededtoneutralize18.0mLof0.100MHCl\mathrm{NaHCO}_{3(a q)}+\mathrm{HCl}_{(a q)} \rightarrow \mathrm{NaCl}_{(a q)}+\mathrm{H}_{2} \mathrm{O}_{(l)}+\mathrm{CO}_{2(g)}How many milliliters of 0.125 \mathrm{M} \mathrm{NaHCO}_3 solution are needed to neutralize 18.0 \mathrm{ mL} of 0.100 \mathrm{M} \mathrm{HCl}?

Options

  1. A14.4 mL14.4 \mathrm{~mL}
  2. B12.0 mL12.0 \mathrm{~mL}
  3. C14.0 mL14.0 \mathrm{~mL}
  4. D13.2 mL13.2 \mathrm{~mL}

Correct answer

A. 14.4 mL14.4 \mathrm{~mL}

Step-by-step solution

 Given, MHCl=0.1M,VHCl=18.0 mLMNaHCO3=0.125M,VNaHCO3= ? \begin{aligned}& \text{ Given, }M_{\mathrm{HCl}}=0.1 \mathrm{M},V_{\mathrm{HCl}}=18.0 \mathrm{~mL}\\ & M_{\mathrm{NaHCO}_3}=0.125 \mathrm{M},V_{\mathrm{NaHCO}_3}=\text{ ? } \end{aligned}On applying, MHC×VHCl=MNaHCO3×VNaHCO3⇒0.1×18=0.125×VNaHCO3⇒MNaHCO3=14.4 mLM_{\mathrm{HC}} \times V_{\mathrm{HCl}}=M_{\mathrm{NaHCO}_3} \times V_{\mathrm{NaHCO}_3}\Rightarrow 0.1 \times 18=0.125 \times V_{\mathrm{NaHCO}_3}\Rightarrow M_{\mathrm{NaHCO}_3}=14.4 \mathrm{~mL} Thus, 14.4 mL14.4 \mathrm{~mL} of the 1.25MNaHCOM31.25 \mathrm{M} \mathrm{NaHCO} \mathrm{M}_3 solution is needed to neutralise 18.0 mL18.0 \mathrm{~mL} of the 0.100MHCl0.100 \mathrm{M}\mathrm{HCl} solution.
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