The volumetric size of a molecule is defined as the cubic root of the specific v

Question

The volumetric size of a molecule is defined as the cubic root of the specific volume of the corresponding substance. For instance, if N molecules occupy a volume V, the corresponding volumetric size is equal to (V/N)1/3. One way to think about it, break the space into cubes so that there is one molecule per cute. The volumetric size is the size of that cube. Calculate the volumetric size of a water molecule for water in the liquid form at normal conditions. Give answer in angstroms, two significant digits. Please show a step by step. Thanks

Explanation / Answer

1 mole water contains 6.022*10^23 molecules 1 mole = 18 gms = 18 mL = 18 cc so (V/N)^1/3 =(18*10^-6/6.022*10^23 )^1/3 = 3.103 * 10^-10 m = 3.1 Angstroms

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