Specific volume of cylindrical virus particle is 6.02×10^-2 cc/gm whose radius and length are 7 angstrom and 10 angstrom respectively.If NA=6.02×10^23,find molecular weight of virus.

Asked by pb_ckt | 23rd Apr, 2019, 09:06: PM

Expert Answer:

G i v e n comma space 1 g space v i r u s space p a r t i c l e space equals space 6.02 cross times 10 to the power of negative 2 end exponent c c space equals space space 6.02 cross times 10 to the power of negative 8 end exponent m cubed

A l s o space T o t a l space v o l u m e space o f space v i r a l space p a r t i c l e space equals space pi r squared h space equals space 3.14 cross times 49 cross times 10 to the power of negative 29 end exponent m cubed

S o comma space W subscript T o t a l left parenthesis p a r t i c l e s right parenthesis end subscript space equals space fraction numerator space 3.14 cross times 49 cross times 10 to the power of negative 29 end exponent m cubed over denominator space 6.02 cross times 10 to the power of negative 8 end exponent m cubed end fraction
w e space a l s o space k n o w space t h a t space 1 space M o l e space equals space 6.023 cross times 10 to the power of 23 space p a r t i c l e space equals space fraction numerator W subscript T o t a l end subscript over denominator G M M end fraction space

O r comma space G M M space equals space fraction numerator W subscript t o t a l end subscript over denominator space 6.023 cross times 10 to the power of 23 end fraction space equals fraction numerator space 3.14 cross times 49 cross times 10 to the power of negative 29 end exponent m cubed over denominator space 6.02 cross times 10 to the power of negative 8 end exponent m cubed space cross times space 6.023 cross times 10 to the power of 23 end fraction space equals space fraction numerator 153.86 over denominator 36.27 end fraction cross times 10 to the power of negative 44 end exponent space g space equals 4.24 cross times 10 to the power of negative 44 end exponent g r a m s

left curly bracket W h e r e comma space G M M space equals space G r a m space M o l e c u l a r space m a s s right curly bracket space

Answered by Sumit Chakrapani | 25th Apr, 2019, 12:05: AM

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