A solution is prepared by diluting 50.00 ml of 2.575 m solution of hno3 to 250.0 ml. what is the molarity of the resulting solution?

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12.88 M
0.1278 M
0.2000 M
0.5150 M

Below is the answer:

5 times diluted (250/50),so 2.575/5=0.515 M

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sebassandin sebassandin · Answer 2 · 2019-12-02T20:52:39-05:00

Answer:

\(M_2=0.515M\)

Explanation:

Hello,

In this case, since the dilution process does not affect the quantity of moles in the solution (from state 1 to 2), one leverages the aforesaid conservation and subsequently uses the definition of molarity to obtain the dilution formula as shown below:

\(n_1=n_2\\M=\frac{n}{V} \\M_1V_1=M_2V_2\)

Next, solving for the molarity after the dilution, \(M_2\), one obtains:

\(M_2=\frac{M_1V_1}{V_2}=\frac{2.575M*50.00mL}{250.0mL}\\M_2=0.515M\)

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