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Question

What volume of 0.10 MH2SO4 must be added to 50 ml of a 0.10 M NaOH solution to make a solution in which the molarity of theH2SO4 is 0.050 M?


A

400 ml

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B

50 ml

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C

100 ml

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D

150 ml

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Solution

The correct option is A

50 ml


Explanation of correct option.

2NaOH +H2SO4 Na2SO4 + 2H2O

0.0025 moles ofH2SO4 will neutralise 0.005 moles NaOH.

So for 0.01 V moles H2SO4 there will be 0.01v-0.0025 moles H2SO4 left unused in the total volume(v+50ml) of solution .

The concentration here will be

0.01V0.0025v+50×1000 = 0.05M

100V2.5V+50 =0.05

100V2.5V+50= 2.5+2.5

99.95V= 5

V= 0.05002L

V= 50.02ML

Hence, the correct option is B


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