`A` mother cell disintegrate into sixty identical cells and each daughter cell further disintegrate into `24` smaller cells. The smallest cells are uniform cylindrical in shape with diameter of `120 Å` and each cell is `6000 Å` long. Determine molar mass of the mother cell if density of the smallest cell is `1.12 g//cm^(3)` :

Answer

`6.6 xx 10^(10)g`

Explanation

Volume of smallest cell `pir^(2)|=pi(60xx10^(-8)cm)^(2)`
`(6000xx10^(-8)cm) = 6.785xx10^(-17)cm^(3)`
mass of one smallest cell `=7.6xx10^(17) g`
implies Molar mass of mother cell `=7.6xx10^(-17)xx24xx60xx6.023xx10^(23)=6.6xx10^(10)"amu"`