Mole ConceptHard

Question

The density of a DNA sample is 1.1g/ ml and its molar mass determined by cryoscopic method was found to be 6 × 108 g/mole. What is the volume occupied by one DNA molecule? (NA = 6 × 1023)

Options

A.5.45 × 108 ml
B.1.83 × 10−9 ml
C.9.09 × 10−16 ml
D.1.09 × 10−13 ml

Solution

Volume of each molecule $= \frac{\text{Mass}}{\text{Density}} = \frac{6 \times 10^{8}}{6 \times 10^{23} \times 1.1} = 9.09 \times 10^{- 16}mL$

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