Question:

One litre of $0.15\, M\, Na _{2} SO _{3}$ aqueous solution is mixed with $500\, mL$ of $0.2\, M\, K _{2} Cr _{2} O _{7}$ aqueous solution in acid medium. What is the number of moles of $K _{2} Cr _{2} O _{7}$ remaining in the solution after the reaction?

Updated On: Apr 4, 2024
  • 0.1
  • 0.0125
  • 0.025
  • 0.05
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The Correct Option is D

Solution and Explanation

When $0.15\, M\, Na _{2} CO _{3}$ (1 L) mixed with $0.2\, M$ $K _{2} Cr _{2} O _{7}(5\, L )$ than total molarity $(M) .$ $M =\frac{M_{1} V_{1}+M_{2} V_{2}}{V_{3}}$ $M =\frac{0.15 \times 1+0.2 \times 0.5}{1 .5}$ $M =0.15\, mol / L$ Remaining mole of $K _{2} Cr _{2} O _{7}=0.2-0.15$ $=0.05\, mol / L$
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Concepts Used:

Buffer solutions

The buffer solution is a solution that is able to maintain its Hydrogen ion concentration (pH) with only minor changes on the dilution or addition of a small amount of either acid or base. They are used in fermentation, food preservatives, drug delivery, printing, the activity of enzymes and many more.

Buffer solutions are aqueous solutions containing a weak acid and its salt - acid buffer or a weak base and its salt - base buffer.

Types of Buffer Solution

Acidic Buffers

These solutions are used to maintain acidic environments. Also, it has acidic pH and is prepared by mixing a weak acid and its salt with a strong base. An aqueous solution of an equal concentration of acetic acid and sodium acetate has a pH of 4.74.

Alkaline Buffers

These solutions are used to maintain basic conditions. It has a basic pH and is prepared by mixing a weak base and its salt with strong acid. The aqueous solution of an equal concentration of ammonium hydroxide and ammonium chloride has a pH of 9.25.