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Question

A plant virus is found to consist of uniform cylindrical particles of 150A° in diameter and 5000°A long . The specific volume of the virus is 0.75cm^3/g . If the virus is considered to be a single particle , find its molecular weights.[v=πR^2.L]

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Solution

i) Volume of virus = πr2 L(Volume of cylinder)
(ii) Mass of single virus = Volume/Sp. Volume
(iii) Molecular mass of virus
= Mass of single virus × 6.02×1023
Volume of virus = π r21
= 22/7 ×150/2 ×150/2 ×10-16 ×500 ×10-8
= 0.884 × 10-16 cm3
Weight of one virus = 0.884 ×10-16/0.75 g
= 1.178 ×10-19 g
∴ Mol. wt. of virus = 1.178 ×10-19 × 6.02 × 1023
= 7.09 ×107

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