There are four substances, A, B C and D. A and C are pure substances. They cannot be broken down into anything simpler by chemic
al methods. B consists of A and D, which are not chemically bonded together. D is a pure substance. We can decompose D into A and C using chemical methods. How would we classify substance A, C, and D?
A: Substances A and C are elements, because they are pure substances that bond together to make substance D and cannot be broken using chemical processes . Substance D is a mixture, because it is a pure substance made up of A and C.
B: Substances A and C are compounds, because they are pure substances that bond together to make substance D and cannot be broken using chemical processes . Substance D is a mixture, because it is a pure substance made up of A and C.
C: Substances A and C are elements, because they are pure substances that bond together to make substance D and cannot be broken using chemical processes. Substance D is a compound, because it is a pure substance made up of A and C.
D: Substances A, C, and D, are elements. All pure substances are elements.
A: Substances A and C are elements, because they are pure substances that bond together to make substance D and cannot be broken using chemical processes . Substance D is a mixture, because it is a pure substance made up of A and C.
B: Substances A and C are compounds, because they are pure substances that bond together to make substance D and cannot be broken using chemical processes . Substance D is a mixture, because it is a pure substance made up of A and C.
C: Substances A and C are elements, because they are pure substances that bond together to make substance D and cannot be broken using chemical processes. Substance D is a compound, because it is a pure substance made up of A and C.
D: Substances A, C, and D, are elements. All pure substances are elements.
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Answer : Half life and radioactive decay are inversely proportional to each other.
Explanation :
The mathematic relationship between the half-life and radioactive decay :
................(1)
where,
N = number of radioactive atoms at time, t
= number of radioactive atoms at the beginning when time is zero
e = Euler's constant = 2.17828
t = time
= decay rate
when then the number of radioactive decay become half of the initial decay atom i.e
.
Now substituting these conditions in above equation (1), we get
By rearranging the terms, we get
Now taking natural log on both side,
By rearranging the terms, we get
This is the relationship between the half-life and radioactive decay.
Hence, from this we conclude that the Half life and radioactive decay are inversely proportional to each other. That means faster the decay, shorter the half-life.