Chemistry identify the chemical formulas, structural formulas and electron dot structures of the following molecules: water, ammonia, carbon dioxide, fluorine, methane, ethane

The chemical formula represents the number of atoms of each element in a given molecule

a) water:

b) Ammonia:

c) carbondioxide:

d) Flourine:

e) methane:

f) ethane:

Structural formula is based on hybridization:

a) water: sp3 hybridized (two lone pair of electrons on central oxygen atom) shape "Bent"

b) Ammonia: sp3 hybridized (one lone pair of electrons on central oxygen atom) shape "pyramidal"

c) carbondioxide: linear

d) Flourine: linear

e) methane: sp3 hybridized , shape : tetrahedral

f) ethane: sp3 hybridized,sp3 hybridized (two lone pair of electrons on central oxygen atom) shape "Bent"

The structural formula and electron dot structures are shown in the figure.

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part 1: the half-life of the element is 22 years.

part 2: it will take 132.02 year for the sample to decay from 308.0 g to 4.8125 g.

explanation:

part 1: there are two ways to determine the half life time.

first way: the half life time can be determined directly from its definition as it is the time required for the sample to decay to its half concentration.

from the data the initial concentration was 45.0 g and decayed to its half value (22.5 g) in 22.0 years.

second way: the radio active decay is considered first order reaction so we can use the laws of first order reactions.

k = (1/t) ln (a/a-x), where k is the rate constant of the reaction,

t is the time of the reaction

a is the initial concentration of the reactant

a-x is the remaining concentration at time (t)

a = 45.0 g the initial concentration at t = 0 year.

at t = 22 year, a-x = 22.5 g

then k = (1/22 year) ln (45.0 g/ 22.5 g) = 0.0315 year-1.

the half-life time (t1/2) = ln 2/ k = 0.693/ k =0.693/ 0.0315 = 22 years.

part 2:

using the same law k = (1/t) ln (a/a-x),

using the given data; a = 308.0 g and a-x = 4.8125 g and the calculated k from the part 1 (k = 0.0315 year-1)

t = (1/k) ln (a/a-x) = (1/0.0315) ln (308.0/ 4.8125) = 132.02 years