The half life of the substance is 8 hours , Option D is the correct answer.
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What is Half Life ?
Half-life is the time required by an unstable element to reduce to half of its initial value.
The term is commonly used in nuclear physics.
The formula is

N(t) = quantity of the substance remaining
N ₀ = initial quantity of the substance
t = time elapsed
= half life of the substance
The data given in the question is N ₀ = 800 moles , N(t)= 100 , t= 24 hours

Substituting values in the equation


Therefore half life of the substance is 8 hours , Option D is the correct answer.
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Answer:
The atomic mass of an element is the average mass of the atoms of an element measured in atomic mass unit (amu, also known as daltons, D). The atomic mass is a weighted average of all of the isotopes of that element, in which the mass of each isotope is multiplied by the abundance of that particular isotope. (Atomic mass is also referred to as atomic weight, but the term "mass" is more accurate.)
2K + Br2 -> 2KBr is the balanced equation