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

`Total\ Mass = 3.65311 * 10^(-19)` grams

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`