25 ~mL of the given HCl solution requires 30 ~mL of 0.1 M sodium carbonate solution. What is the volume of this HCl solution required to titrate 30 ~mL of 0.2 M aqueous NaOH solution?

Correct answer: A. 25 ~mL 25 mL of HCl solution requires 30 mL of 0.1 MNa_ 2 CO_ 3 solution. array l _ 1 V_ 1 =N_ 2 V_ 2 25 × N_ 1 =30 ×0.2(0.1 M Na_ 2 CO_ 3 =0.2 N. .Na_ 2 CO_ 3 ) N_ 1 =(6)/(25)=0.24 N array Now, HCl solution is titrated with NaOH solution. array l M_ 1 V_ 1 =M_ 2 V_ 2 ; 0.24 NHCl=0.24 M HCl V ×0.24 ×1=30 ×0.2 ×1 V=25 mL array

JEE Main 201911 JanuaryEvening Shift

Exam: JEE Main
Year: 2019
Date: 11 January
Shift: Evening Shift
Subject: Chemistry
Chapter: Some Basic Concepts of Chemistry

JEE Main 2019 · 11 January · Evening Shift · Chemistry · Some Basic Concepts of Chemistry

25 ~mL of the given HCl solution requires 30 ~mL of 0.1 M sodium...

25 \mathrm{~mL}

of the given

\mathrm{HCl}

solution requires

30 \mathrm{~mL}

0.1 \mathrm{M}

sodium carbonate solution. What is the volume of this

\mathrm{HCl}

solution required to titrate

30 \mathrm{~mL}

0.2 \mathrm{M}

aqueous

\mathrm{NaOH}

solution?

Options

A $25 \mathrm{~mL}$
B $75 \mathrm{~mL}$
C $50 \mathrm{~mL}$
D $12.5 \mathrm{~mL}$

Correct answer

A. $25 \mathrm{~mL}$

Step-by-step solution

25 \mathrm{ mL}

of

\mathrm{HCl}

solution requires

30 \mathrm{ mL}

of

0.1 \mathrm{M}\mathrm{Na}_{2} \mathrm{CO}_{3}

solution.

\begin{array}{l} \because\mathrm{N}_{1} \mathrm{ V}_{1}=\mathrm{N}_{2} \mathrm{ V}_{2}\\ \therefore 25 \times \mathrm{N}_{1}=30 \times0.2\left(0.1 \mathrm{M} \mathrm{Na}_{2} \mathrm{CO}_{3}=0.2 \mathrm{ N}\right.\\ \left.\mathrm{Na}_{2} \mathrm{CO}_{3}\right)\\ \mathrm{N}_{1}=\frac{6}{25}=0.24 \mathrm{ N} \end{array}

Now, HCl solution is titrated with

\mathrm{NaOH}

solution.

\begin{array}{l}\mathrm{M}_{1}\mathrm{ V}_{1}=\mathrm{M}_{2}\mathrm{ V}_{2}; 0.24 \mathrm{NHCl}=0.24 \mathrm{M} \mathrm{HCl}\\ \therefore \mathrm{V} \times0.24 \times1=30 \times0.2 \times1 \Rightarrow \mathrm{V}=25 \mathrm{ mL} \end{array}

Practice Some Basic Concepts of Chemistry on Quantrex Academy →

More from Some Basic Concepts of Chemistry

Match List-I with List-II. List-I Mass of substance List-II Number of atoms A. 1.8 mg… JEE Main 2026 Which of the following contain the same number of atoms ? (Given : Molar mass in g mol ^… JEE Main 2026 An oxide of iron contains 69.9\% iron, its empirical formula, is: (Given: Molar mass of… JEE Main 2026 What volume of hydrogen gas at STP would be liberated by action of 50 mL of H_2SO_4 of… JEE Main 2026 How many grams of residue is obtained by heating 2.76 g of silver carbonate? (Given… JEE Main 2026 The correct order of total number of atoms present in (A) 2 moles of cyclohexane (B) 684… JEE Main 2026 Number of moles and number of molecules in 1.4187 L of SO_2 at STP respectively are: JEE Main 2026 The ratio of mass percentage (w/w) of C : H in a hydrocarbon is 12 : 1 . It has two… JEE Main 2026 Full Some Basic Concepts of Chemistry list All JEE Main PYQs