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The concept of thermionic emission is the basis of modern X-ray tubes, which are

ID: 2105713 • Letter: T

Question

The concept of thermionic emission is the basis of modern X-ray tubes, which are the workhorse of a medical X-ray image. In this process a filament (a piece of metal in a vacuum) is heated by the application of electrical current. The heat (energy) is transferred to the 'free' electrons of the metal which allow some electrons to escape from the surface. After a short period of operation the filament has lost enough electrons to give it an overall charge of 9.50 × 10-7 C. How many electrons, ne, has the filament lost? If the filament is 2.45 g of tungsten, what fraction of electrons, ef, does this represent? (HINT: The atomic number of tungsten is 74.0, the atomic weight is 183.8 g/mol and Avogadro's constant = 6.02 × 1023 1/mol.)



Since this is worth 2 questions, technically, I will make this worth a lot.

Explanation / Answer

(a) no. of electrons lost = Q/e = 5.94*10^(12) electrons

(b)mass of lost electron = m = 5.4*10^(-15) g

required fraction = m/2.15 = 2.208*10^(-15)

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