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Chapter 37: Q. 39 (page 1083)

The diameter of an atom is 1.2脳10-10mand the diameter of its nucleus is1.0脳10-14m. What percent of the atom's volume is occupied by mass and what percent is empty space?

Short Answer

Expert verified

The volume occupied by mass5.79脳10-11%

Step by step solution

01

Given information

The diameter of an atom is 1.2脳10-10m

The diameter of its nucleus is1.0脳10-14m.

02

calculation

All masses are confined in the nucleus. So the ratio will be the ratio nucleus to atoms volume . The volume of the atom is Va=43蟺ra3=43蟺1.2脳10-103=7.24脳10-30m3

The volume of nucleus isVn=43蟺rn3=43蟺1.0脳10-143=4.19脳10-42m3

So the ratio is

4.19脳10-427.24脳10-30=5.79脳10-13=5.79脳10-11%

So only 5.79脳10-11%of volume actually occupied by mass

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Most popular questions from this chapter

Identify the element, the isotope, and the charge state of each atom in FIGURE Q.37.12 . Give your answer in symbolic form, such as 4He+ or 8Be-.

Figure 37.7 identified the wavelengths of four lines in the Balmer series of hydrogen.

a. Determine the Balmer formula n and m values for these wavelengths.

b. Predict the wavelength of the fifth line in the spectrum .

10. Explain why the observation of alpha particles scattered at very large angles led Rutherford to reject Thomson鈥檚 model of the atom and to propose a nuclear model.

Explain why the observation of alpha particles scattered at very large angles led Rutherford to reject Thomson鈥檚 model of the atom and to propose a nuclear model.

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