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Question

The amount of water which must be added to a given solution of concentration, 40 mg silver nitrate per mL to yield a solution of concentration of 16 mg silver nitrate per mL is :

A
1.5 mL
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B
2.0 mL
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C
2.3 mL
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D
2.6 mL
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Solution

The correct option is A 1.5 mL
Let the volume of the diluted solution be V mL.

Initially 1 mL of solution contains 40 mg.

After dilution, 40 mg will be present in V mL whose concentration is 16 mg silver per mL.

Thus, V mL will contain 16V mg.

16V mg =40 mg.

V=2.5 mL

The amount of water that must be added =2.51=1.5 mL.

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