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Roman55 [17]
3 years ago
5

A student has two solutions of a substance. Solution-1: 25M, 400mL, and Solution-2: 30M, 300 ml. What is the molarity of the fin

al solutions if these two solutions are mixed?
Chemistry
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

The molarity of the final solutions if these two solutions are mixed is 27.14 \frac{moles}{L}

Explanation:

Yo know:

  • Solution-1: 25M, 400mL
  • Solution-2: 30M, 300 mL

Molarity being the number of moles of solute per liter of solution, expressed by:

Molarity (M)= \frac{number of moles}{volume}

You can determine the number of moles that are mixed from each solution as:

Number of moles= Molarity*Volume

So, being 1 L=1000 mL, for each solution you get:

  • Solution-1: being 0.400 L=400 mL ⇒ 25 M* 0.400 L= 10 moles
  • Solution-2: being 0.300 L=300 mL ⇒ 30 M* 0.300 L=  9 moles

When mixing both solutions, it is obtained that the volume is the sum of both solutions:

Total volume= volume solution-1 + volume solution-2

and the number of total moles will be the sum of the moles of solution-1 and solution-2:

Total moles= moles of solution-1 + moles of solution-2

So the molarity of the final solution is:

Molarity (M)= \frac{moles of solution 1 + moles of solution 2}{Volume solution 1 + Volume solution 2}

In this case, you have:

  • moles of solution-1: 10 moles
  • moles of solution-2: 9 moles
  • volume solution-1: 0.400 L
  • volume solution-2: 0.300 L

Replacing:

Molarity (M)=\frac{10 moles + 9 moles}{0.400 L + 0.300 L}

Solving:

Molarity (M)=\frac{19 moles}{0.700 L}

Molarity= 27.14 \frac{moles}{L}

<u><em>The molarity of the final solutions if these two solutions are mixed is 27.14 </em></u>\frac{moles}{L}<u><em></em></u>

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