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Q.

Calculate the amount of water by which 50 mL of a solution having concentration 20% w/v and density 2 g/mL should be diluted to obtain a solution of concentration 7.5% w/v :

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a

83.33 mL

b

133.33 mL

c

33.33 mL

d

50 mL

answer is C.

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Detailed Solution

It is known that,

${Mass}_{1} \times {Vol}_{1} = {Mass}_{2} \times {VoI}_{2}$

$50 \times \frac{20}{100} = (V + 50) \times \frac{7.5}{100} \Rightarrow V = 83.33 mL$

So, the required amount of water is 83.33 mL.

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Calculate the amount of water by which 50 mL of a solution having concentration 20% w/v and density 2 g/mL should be diluted to obtain a solution of concentration 7.5% w/v :