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

A plant virus is found to consist of uniform cylindrical particle of `150 Å` in diameter 5000 Å long. The specific volume of the virus is 0.75 `mLg^(-1)`. If the virus is considered to be a single particle, find its molar mass.

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Verified by Experts

Volume of virus `= pir^(2)l`
`=(22)/(7)=(150)/(2)xx(150)/(2)xx10^(-16)xx5000xx10^(-8)`
`=0.884xx10^(-16)cm^(3)`
`:.` Weight of one virus `=(0.884xx10^(-16))/(0.75)g`
`=1.178xx10^(-16)g`
`:.` Mol.wt.of virus `=1.178xx10^(-16)xx6.023xx10^(23)`
`=7.095xx10^(7)`
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Knowledge Check

  • A plant virus consists of uniform cylindrical particles of 150 overset(@)A in diamter and 5000overset(@)A long. The specific volume of virus is 0.75 cm^(3) /g. if the virus is considered to be a single particle, its molecular mass is:

    A
    `7.09xx10^(7)g "mol"^(-1)`
    B
    `7.90xx10^(7)g "mol"^(-12)`
    C
    `9.07xx10^(7)g "mol"^(-1)`
    D
    `9.70xx10^(7)g "mol"^(-1)`

  • The shape of Tobacco Mosaic Virus (TMC) is cylindrical, having length and diameter 3000Å and 170Å , respectively. The density of the virus is 0.08gm//ml . The molecular weight of TMC is:

    A
    3.28
    B
    `5.44 xx 10^(-24)`
    C
    `5.44 xx 10^(-18)`
    D
    `3.28 xx 10^(6)`
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