17. acetylene gas (c2h2) burns in the oxyacetylene torch for welding. balance the chemical reaction by placing the proper coefficients in front of each reactant and each product. a. what is the coefficient on line (a)? b. what is the coefficient on line (b)? c. what is the coefficient on line (c)? d. what is the coefficient on line (c)?

Explanation:

Acetylene is an organic compound consisting of only carbon and hydrogen atoms, also known as a pure hydrocarbon.

Every hydrocarbon might undergo either an incomplete or a complete combustion. In an incomplete combustion, carbon monoxide is produced along with water, while in a complete combustion, there's enough oxygen to oxidize the resultant carbon monoxide to carbon dioxide.

In a complete combustion of acetylene, it reacts with oxygen to produce carbon dioxide and water:

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

let that person have a turn to speak : )