ECONOMICS (CBSE/UGC NET)

ECONOMICS

COMPOUND INTEREST

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The half-life of Uranium-48 is approximately 9 days. Find the amount of Uranium-48 left from a 10 gram sample after 36 days.
A
.0195
B
.625
C
1.25
D
.734
Explanation: 

Detailed explanation-1: -The half-life of Uranium-48 is approximately 9 days.

Detailed explanation-2: -The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value. The half-life of a first-order reaction does not depend upon the concentration of the reactant. It is a constant and related to the rate constant for the reaction: t1/2 = 0.693/k.

Detailed explanation-3: -For the most common uranium isotope, U-238, the half-life is 4.5 billion years, about the age of the solar system.

Detailed explanation-4: -Determine the original amount of the substance. Determine the amount of time for which the substance was measured. Determine the remaining amount of the substance after the time. Substitute these values into the half-life equation and solve for half-life.

There is 1 question to complete.