Mole ConceptHard

Question

The shape of tobacco mosaic virus (TMV) is cylindrical, having length 3000 Å and diameter 170 Å. If the specific volume of virus is 12.5 ml/g, then the molecular mass of TMV is (NA = 6 × 1023)

Options

A.3.28
B.5.44 × 10−24
C.5.44 × 10−18
D.3.27 × 106

Solution

Volume of each virus particle $= \pi r^{2}l = \pi\left( \frac{170}{2} \times 10^{- 8}cm^{2} \right) \times \left( 3000 \times 10^{- 8}cm \right) = 6.806 \times 10^{- 17}cm^{3}$

Mass of each virus particle $= \frac{6.806 \times 10^{- 17}}{12.5} = 5.4448 \times 10^{- 18}$

∴ Molecular mass of virus $= 5.4448 \times 10^{- 18} \times 6 \times 10^{23} = 3.27 \times 10^{6}$

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