Question

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

Answer 1

Answer:

$Total\ Mass = 3.65311 * 10^{-19}$ grams

Step-by-step explanation:

Given

$Mass = 9.11 * 10^{-28}g$

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:

$Total\ Mass = 401,000,000 * 9.11 * 10^{-28}$

$Total\ Mass = 3653110000 * 10^{-28}$

Express 3653110000 as a standard form

$Total\ Mass = 3.65311 * 10^9 * 10^{-28}$

Apply law of indices:

$Total\ Mass = 3.65311 * 10^{9-28}$

$Total\ Mass = 3.65311 * 10^{-19}$

Hence, the mass of 401000000 electrons is $3.65311 * 10^{-19}\ grams$