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The mass of a dust particle is approximately
7.5 x 10-10 kilograms and the mass of an electron
is 9.1 x 10-31 kilograms. Approximately how many
electrons have the same mass as one dust particle?

Respuesta :

  • Mass of dust=7.5×10^{-10}kg
  • Mass of electron=9.1×10^{-31}kg

Total electrons

  • Mass of dust/Mass of electron
  • 7.5×10^{-10}\9.1×10^{-31}
  • 0.824×10²¹
  • 8.25×10²⁰
semsee45

Answer:

Given:

  • [tex]\textsf{Mass of a dust particle} = \sf 7.5 \times 10^{-10}[/tex]
  • [tex]\textsf{Mass of an electron} = \sf 9.1 \times 10^{-31}[/tex]

To calculate how many electrons have the same mass as one dust particle, divide the mass of a dust particle by the mass of an electron:

[tex]\begin{aligned}\implies \dfrac{\textsf{Mass of a dust particle}}{\textsf{Mass of an electron}} & = \sf \dfrac{7.5 \times 10^{-10}}{9.1 \times 10^{-31}}\\\\& = \sf \dfrac{7.5}{9.1} \times \dfrac{10^{-10}}{10^{-31}}\\\\& = \sf 0.8241... \times 10^{(-10-(-31))}\\\\& = \sf 0.8241... \times 10^{21}\\\\& = \sf 8.2 \times 10^{20}\end{aligned}[/tex]

Therefore, approximately [tex]\sf 8.2 \times 10^{20}[/tex] electrons have the same mass as one dust particle.

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