Problem 105IE

Moseley established the concept of atomic number by studying X rays emitted by the elements. The X rays emitted by some of the elements have the following wavelengths:

Element |
Wavelength (Å) |

Ne |
14.610 |

Ca |
3.358 |

Zn |
1.435 |

Zr |
0.786 |

Sn |
0.491 |

(a) Calculate the frequency, n, of the X rays emitted by each of the elements, in Hz. (b) Plot the square root of n versus the atomic number of the element. What do you observe about the plot? (c) Explain how the plot in part (b) allowed Moseley to predict the existence of undiscovered elements. (d) Use the result from part (b) to predict the X-ray wavelength emitted by iron. (e) A particular element emits X rays with a wavelength of 0.980 Å. What element do you think it is?

Problem 105IE

Moseley established the concept of atomic number by studying X rays emitted by the elements. The X rays emitted by some of the elements have the following wavelengths:

(a) Calculate the frequency, n, of the X rays emitted by each of the elements, in Hz. (b) Plot the square root of n versus the atomic number of the element. What do you observe about the plot? (c) Explain how the plot in part (b) allowed Moseley to predict the existence of undiscovered elements. (d) Use the result from part (b) to predict the X-ray wavelength emitted by iron. (e) A particular element emits X rays with a wavelength of 0.980 Å. What element do you think it is?

Step by Step Solution

Step 1 of 5

a)

Let’s calculate the frequency emitted by the element in “Hz”.

For Neon:

...........................(1)

v = Frequency of light

c = Velocity of light

= Wavelength.

From the given,

Wavelength of Neon =

Velocity of light =

Substitute the values in the equation (1)

Therefore, the frequency emitted by the element neon is .

For Calcium:

From the given,

Wavelength of Calcium =

Velocity of light =

Substitute the values in the equation (1)

Therefore, the frequency emitted by the element calcium is .

For Zinc:

From the given,

Wavelength of Zinc =

Velocity of light =

Substitute the values in the equation (1)

Therefore, the frequency emitted by the element zinc is .

For Zirconium:

From the given,

Wavelength of Zirconium =

Velocity of light =

Substitute the values in the equation (1)

Therefore, the frequency emitted by the element Zirconium is .

For Stannum:

From the given,

Wavelength of stannum =

Velocity of light =

Substitute the values in the equation (1)

Therefore, the frequency emitted by the element stannum is .

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