The diameter of the tungsten wire in a lightbulb filament is very small, less than two thousandths of an inch, or about 1/20 mm. The mass of the filament is so very small - 0.0176 grams - that it would take 1600 filaments to weigh an ounce! How many tungsten Atoms are in a typical lightbulb filament?

Respuesta :

The number of tungsten Atoms in a typical light bulb filament is

5.76 × [tex]10^{19}[/tex]  atoms of W

Explanation:

Write the given values of the problem

The diameter the tungsten wire in a light bulb filament Tungsten element W : molar mass = 183.84 g / mol

0.0176 g W ×  [tex]\frac{1mol}{183.84 g}[/tex] = 0.000096 mol W

0.000096 mol W ×  [tex]\frac{6.02 × [tex]10^{23 atoms}[/tex]}{1 mol W}[/tex]

= 5.76 × [tex]10^{19}[/tex] atoms of W

A typical lightbulb filament, whose mass is 0.0176 g, contains 5.76 × 10¹⁹ atoms of tungsten.

The mass of a typical lightbulb filament of tungsten is 0.0176 grams. We can convert 0.0176 g to moles using the molar mass of tungsten (183.84 g/mol).

[tex]0.0176 g \times \frac{1mol}{183.84g} = 9.57 \times 10^{-5} mol[/tex]

To convert 9.57 × 10⁻⁵ mol to atoms, we will use Avogadro's number: there are 6.02 × 10²³ atoms in 1 mole of atoms.

[tex]9.57 \times 10^{-5} mol \times \frac{6.02 \times 10^{23}atom }{1mol} = 5.76 \times 10^{19}atom[/tex]

A typical lightbulb filament, whose mass is 0.0176 g, contains 5.76 × 10¹⁹ atoms of tungsten.

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