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An old bottle labeled Standardized 5.0 M NaOH was found at the back of a shelf in the stockroom. To determine whether the concentration was still 5.0 M, 5.0 mL of the solution was diluted to 100 mL and titrated to the equivalence point with 11.9 mL of 2.0 M HCl(aq). What is the molarity of the sodium hydroxide solution in the bottle

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Answer: The molarity of the sodium hydroxide solution in the bottle is 0.238 M

Step-by-step explanation:

To calculate the volume of acid, we use the equation given by neutralization reaction:


n_1M_1V_1=n_2M_2V_2

where,


n_1,M_1\text{ and }V_1 are the n-factor, molarity and volume of acid which is
HCl


n_2,M_2\text{ and }V_2 are the n-factor, molarity and volume of base which is NaOH.

We are given:


n_1=1\\M_1=2.0M\\V_1=11.9mL\\n_2=1\\M_2=?\\V_2=100mL

Putting values in above equation, we get:


1* 2.0* 11.9=1* M_2* 100\\\\M_2=0.238

Thus the molarity of the sodium hydroxide solution in the bottle is 0.238 M

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