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The mass of an electron is approximately 9.11 × 10 -28 grams. Find the mass of 401,000,000 electrons. 3.65311 × 10-19 grams 3.65311 × 10-18 grams 3.65311 × 10-17 grams 3.65311 × 10-20 grams

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MrRoyal

Answer:

[tex]Total\ Mass = 3.65311 * 10^{-19}[/tex] grams

Step-by-step explanation:

Given

[tex]Mass = 9.11 * 10^{-28}g[/tex]

Required

Determine the mass of 401,000,000 electrons

To do this, we simply multiply the mass of 1 electron by the number of electrons.

This gives:

[tex]Total\ Mass = 401,000,000 * 9.11 * 10^{-28}[/tex]

[tex]Total\ Mass = 3653110000 * 10^{-28}[/tex]

Express 3653110000 as a standard form

[tex]Total\ Mass = 3.65311 * 10^9 * 10^{-28}[/tex]

Apply law of indices:

[tex]Total\ Mass = 3.65311 * 10^{9-28}[/tex]

[tex]Total\ Mass = 3.65311 * 10^{-19}[/tex]

Hence, the mass of 401000000 electrons is [tex]3.65311 * 10^{-19}\ grams[/tex]

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