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Chapter 42: Q 5 Exercise (page 1236)

Which stable nuclei have a diameter of 7.46 fm?

Short Answer

Expert verified

Therefore, chemical element who has stable isotope of A = 30 is silicon Si.

Step by step solution

01

Given information

$r = 7.46 fm \to 7.46 \times 10^{- 15} m r_{o} = 1.2 fm \to 1.2 \times 10^{- 15} m$

02

Explanation

We have to find value of A from next formula:

$r = 2 r_{o} A^{1 / 3} A^{1 / 3} = \frac{r}{2 r_{o}} A = {(\frac{7.46 fm}{2 \cdot (1.2 fm)})}^{3} A = {(\frac{7.46 fm}{2.4 fm})}^{3} A = (3.108)^{3} A = 30$

Chemical element who has stable isotope of A = 30 is silicon Si.

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Most popular questions from this chapter

Use the graph of binding energy to estimate the total energy released if a nucleus with mass number 240 fissions into two nuclei with mass number 120.

Consider the atoms ${}^{16}O, {}^{18}O, {}^{18}F, {}^{18}{N e},$ and ${}^{20}N e$ . Some of the following questions may have more than one answer. Give all answers that apply.

a. Which are isotopes?

b. Which are isobars?

c. Which have the same chemical properties?

d. Which have the same number of neutrons?

The three isotopes

{}^{212}{Po}, {}^{137}{Cs}, and {}^{90}{Sr} decay as {}^{212}{Po} \to {}^{208}{Pb} + α, {}^{137}{Cs} \to {}^{137}{Ba} + e^{-} + γ, and {}^{90}{Sr} \to {}^{90}Y + e^{-}

Which of these isotopes would be most useful as a biological tracer? Why?

a. What are the isotopic symbols of all A = 19 isobars?

b. Which of these are stable nuclei?

c. For those that are not stable, identify both the decay mode and the daughter nucleus.

How many grays of gamma-ray photons cause the same bio-

logical damage as 30 Gy of alpha radiation?

See all solutions

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