SATHEE: Some Basic Concepts of Chemistry

Some Basic Concepts of Chemistry - Result Question 108

####46. A plant virus is found to consist of uniform cylindrical particles of $150 \AA$ in diameter and $5000 \AA$ long. The specific volume of the virus is $0.75 c m^{3} / g$ . If the virus is considered to be a single particle, find its molar mass.

(1999, 3M)

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Solution:

Volume of one cylinderical plant virus $= π r^{2} l$

$= 3.14 {(75 \times 10^{- 8})}^{2} \times 5000 \times 10^{- 8} c m^{3} = 8.83 \times 10^{- 17} c m^{3}$

$\Rightarrow$ Mass of one virus $= \frac{Volume of a virus}{Specific volume}$

$= \frac{8.83 \times 10^{- 17} c m^{3}}{0.75 c m^{3} g^{- 1}} = 1.1773 \times 10^{- 16} g$

$\Rightarrow$ Molar mass of virus

$\begin{aligned} = Mass of one virus \times Avogadro’s number & = 1.1773 \times 10^{- 16} \times 6.023 \times 10^{23} g & = 70.91 \times 10^{6} g \end{aligned}$

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Some Basic Concepts of Chemistry - Result Question 108

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