Question:

$200\, mL$ of water is added to a $500\, mL$ of $0.2 \,M$ solution. What is the molarity of this diluted solution?

Updated On: Dec 8, 2024
  • $0.5010\, M$
  • $0.2897\, M$
  • $0.7093 \,M$
  • $0.1428\, M$
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The Correct Option is D

Solution and Explanation

Thecorrect option is( D): 0.1428M.

0.2 molar solution, ie, 1000 mL solution contains 0.2 mol solute. 
\(\therefore\) 500 mL solution contains 0.1 mol solute thus, 700 mL solution contain 
\(\frac{0.1}{500}\times 700=0.1428\text{ }mol\)
\(\therefore\) Molarity of solution =0.1428 M.

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Concepts Used:

Solutions

A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.

For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.

Types of Solutions:

The solutions can be classified into three types:

  • Solid Solutions - In these solutions, the solvent is in a Solid-state.
  • Liquid Solutions- In these solutions, the solvent is in a Liquid state.
  • Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.

On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:

  1. Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
  2. Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
  3. Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.