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Specific volume of cylindrical virus particle is 6.02 × 10^-2 cc/g. whose radius and length are 7 Å & 10 Å respectively.

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Specific volume of cylindrical virus particle is 6.02 × 10-2 cc/g. whose radius and length are 7 Å & 10 Å respectively.

If NA = 6.02 × 1023 mol1, find molecular weight of virus

(a) 3.08 × 103 kg/mol

(b) 3.08 × 104 kg/mol

(c) 1.54 × 104 kg/mol

(d) 15.4 kg/mol

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Correct answer: (d) 15.4 kg/mol

Explanation:

Specific volume (volume of 1 g) of cylindrical virus particle = 6.02 × 10-2 cc/g

Radius of virus (r) = 7 Å = 7 × 10-8 cm

Length of virus = 10 × 10-8 cm

Volume of virus 

= \(\pi r^2 I = \frac{22}{7}\) x  (7 x 10-8)2 x 10 x 10-8

= 154 x 10-23cc

Wt of. one virus particle = \(\frac{volume}{specific\;volume}\)

∴ Mol. wt. of virus = Wt. of virus = Wt. of NA particle

= \(\frac{154 \times 10^{-23}}{6.02 \times 10^{-2}}\) x 6.02 x 1023

= 15400 g/mol

= 15.4 kg/mol

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