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A plant virus is found to consist of uni...

A plant virus is found to consist of uniform cylinderical particles whose diameters is 150 Å and length is 5000 Å. The specific volume of the virus is 0.75 `cm^(3)//g`. If the virus is considered to be a single particle, then find its molecular mass.

Text Solution

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Volume of the virus=`pir^(2)xxl`
`=3.14xx((150)/(2)xx10^(-8))^(2)xx5000xx10^(-8)=0.884xx10^(-16)cm^(3)`
Mass of single virus=`("volume")/("specific volume")`
`=(0.884xx10^(-16))/(0.75)=1.178xx10^(-16)g`
Molarr mass of virus=mass of single virus`xxN_(A)`
`=1.78xx10^(-16)xx6.023xx10^(23)=7.095xx10^(7)`.
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