Copyright

What is the molarity of the diluted solution when 1.00 L of a 0.250-M solution of Fe(NO3)3 is...

Question:

What is the molarity of the diluted solution when 1.00 L of a 0.250-M solution of {eq}Fe(NO_3)_3 {/eq} is diluted to a final volume of 2.00 L?

Molarity:

The molarity is the indication of the total moles of a chemical solution in its unit volume. Commonly, the proportion within the number of moles, and the volume of a chemical solution is utilized to determine the molarity. In chemistry, the capital M is used to denote the molarity of a chemical solution.

Answer and Explanation: 1


Given data

  • The initial volume of the solution is {eq}{{V}_{1}}=1\ \text{L} {/eq}
  • The initial molarity of the solution is {eq}{{M}_{1}}=0.25\ \text{M} {/eq}
  • The final volume of the solution is {eq}{{V}_{2}}=2\ \text{L} {/eq}


By using the following relation, the molarity of the diluted solution is calculated as,

{eq}\begin{align*} {{M}_{1}}{{V}_{1}} &={{M}_{2}}{{V}_{2}} \\ \Rightarrow \left( 0.25\ \text{M} \right)\left( 1\ \text{L} \right) &={{M}_{2}}\left( 2\ \text{L} \right) \\ \Rightarrow {{M}_{2}} &=\dfrac{\left( 0.25\ \text{M} \right)\left( 1\ \text{L} \right)}{\left( 2\ \text{L} \right)} \\ \Rightarrow {{M}_{2}} &=0.125\ \text{M} \\ \end{align*} {/eq}


Thus, the molarity of the diluted solution is {eq}{{M}_{2}}=0.125\ \text{M} {/eq}.


Learn more about this topic:

Loading...
Calculating Molarity and Molality Concentration

from

Chapter 8 / Lesson 4
66K

What is molarity? What is molality? Compare molarity vs molality by viewing molality and molarity formulas, how to calculate molarity and molality, and examples.


Related to this Question

Explore our homework questions and answers library