What volume of distilled water should be added to 400cm3 of 2.0 mole dm-3 (H_{2}SO_{4})…

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
Correct Answer: Option D
Explanation

(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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