In 2021, you were given a 100. g wine sample to verify its age. Using tritium dating you observe that the sample has 0.688 decay events per minute. Tritium has a half life of 12.3 and fresh water exhibits 5.5 decay events per minute per 100. g. What year was the wine produced

1984

Explanation:

Given the formula;

0.693/t1/2 = 2.303/t log (Ao/A)

Where;

t1/2 = half life of the radioactive isotope

t= age of the wine

Ao= initial activity of the wine

A= activity of the at time = t

0.693/12.3 = 2.303/t log (5.5/0.688)

0.693/12.3 = 2.079/t

0.056 = 2.079/t

t= 2.079/0.056

t= 37 years

The wine was produced 37 years ago which means that it was produced in the year 1984

0.2 moles of octane

Explanation:

The equation of the reaction is;

C8H18(g) + 25/2 O2(g) > 8CO2(g) + 9H2O(l)

From the equation;

1 mole of octane yields 9 moles of water

x moles of octane yields 1.4 moles of water

x= 1.4 × 1/9

x= 0.16 moles of octane