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Some Basic Concepts of Chemistry question

2001 · Q108
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Some Basic Concepts of Chemistry question

2001 · Q108

NEETChemistrySome Basic Concepts of ChemistryMCQ+4 / −1
Specific volume of cylinfrical virus particle is 6.02 ×\times× 10−-−2 cc/g whose radius and length are 7 A∘\mathop A\limits^ \circA∘​ and 10 A∘\mathop A\limits^ \circA∘​ respectively. If NA = 6.02 ×\times× 1023, find molecular weight of virus.
  1. A
    15.4 kg/mol
  2. B
    1.54 ×\times× 104 kg/mol
  3. C
    3.08 ×\times× 104 kg/mol
  4. D
    3.08 ×\times× 103 kg/mol
View written solutionFree

Correct answer: A

Specific volume ( vol. of 1 g) cylindrical virus particle

= 6.02 ×\times× 10-2 cc/g

Radius of virus, r = 7 Å = 7 ×\times× 10-8 cm

Volume of virus = πr2l\pi {r^2}lπr2l

= 227×(7×10−8)×10×10−8{{22} \over 7} \times (7 \times {10^{ - 8}}) \times 10 \times {10^{ - 8}}722​×(7×10−8)×10×10−8

= 154 ×\times× 10-23 cc

wt. of one virus particle = VolumeSpecific  Volume{{Volume} \over {Specific\,\,Volume}}SpecificVolumeVolume​

⇒\Rightarrow⇒ 1.54×10−236.02×10−2g{{1.54 \times {{10}^{ - 23}}} \over {6.02 \times {{10}^{ - 2}}}}g6.02×10−21.54×10−23​g

∴\therefore∴ Molecular wt of virus = wt. of NA particle

= 1.54×10−236.02×10−2×6.02×10−23  g/mol{{1.54 \times {{10}^{ - 23}}} \over {6.02 \times {{10}^{ - 2}}}} \times 6.02 \times 10^{-23} \,\,g/mol6.02×10−21.54×10−23​×6.02×10−23g/mol

= 15400 g/mol = 15.4 kg/mol

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