What type of reaction is mg + cl^2> mgcl^2

Synthesis.

Explanation:

Synthesis reaction:

It is the reaction in which two or more simple substance react to give one or more complex product.

For example:

Mg + Cl₂ → MgCl₂

when magnesium combine with chlorine it form magnesium chloride.

Magnesium is alkaline earth metal and present in group two. Magnesium has two valance electrons. Magnesium atom loses its two electron to complete the octet.  Chlorine is halogen element and have seven valance electrons. Chlorine needed one electron to complete the octet. When it combine with magnesium atom it accept the two electrons from magnesium atom that's why two chlorine atoms are combine with one magnesium atom to make the compound neutral.

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

the dependant variable is spilled water

the independent is the heat