TCDD, also called dioxin (C12H4Cl4O2, molar mass 322.0 g/mol), is a potent poison. The average lethal dose in humans is estimated to be 3.0 × 10−2 mg per kg of body weight. (a) How many grams constitute a lethal dose for a 84−kg individual?(b) How many molecules of TCDD does this correspond to?

Respuesta :

Answer:

The correct solution is "3.535 × 1018 molecules".

Explanation:

The given values are:

Molar mass

= 322.0 g/mol

Dioxin constitute to 63 kg individual will be:

= [tex]0.03 \ mg\times 63[/tex]

= [tex]1.89 \ mg[/tex]

⇒  [tex]mole=\frac{mass}{molar \ mass}[/tex]

             [tex]=\frac{ 1.89\times 10^{-3}}{322}[/tex]

             [tex]=5.87\times 10^{-6} \ mol[/tex]

So,

The number of molecules will be:

= [tex]mole\times Na[/tex]

= [tex]5.87\times 10^{-6}\times 6.022\times 1023[/tex]

= [tex]3.535\times 1018[/tex] (molecules)