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What volume of distilled water should be added to 400cm3 ...

What volume of distilled water should be added to 400cm3 of 2.0 mole dm-3 $H_{2}SO_{4}$ to obtain 0.20 mole dm-3 of solution>

A.

600cm-³

B.

800cm-³

C.

1,000cm-³

D.

3,600cm-³

E.

4,000cm-³

View answer & explanation

Correct answer is D

$400cm^{3} \to 2moldm^{-3}$

$0.4 dm^{3} \to 2moldm^{-3}$

Multiplying in order to get the moles of the acid.

$0.4dm^{3} \times 2moldm^{-3} = 0.8moles$

After diluting to $0.2moldm^{-3}$ , the new volume will be

$\frac{0.8}{0.2} = 4dm^{3}$

Converting back to cm^3,

We have $4 \times 1000cm^{3} = 4000cm^{3}$

Hence, the volume of water added = $(4000 - 400)cm^{3} = 3600cm^{3}$

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