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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 mlExplanation 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 0.01V−0.0025v+50×1000 = 0.05M 100V−2.5V+50 =0.05 100V−2.5V+50= 2.5+2.5 99.95V= 5 V= 0.05002L V= 50.02MLHence, the correct option is B

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