Question

A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 1.8•10^8 litter of water every second. About how many molecules does the river discharge every minute. Write your answer in scientific notation.

Answer 1

Answer:
`361.8* 10^(33) molecules\ per\ minute`

Explanation:

Given

1 litre of water contains
`3.35 * 10^(25)`

River discharges about
`1.8* 10^8 litre` of water per second

so river in 1 minute discharges =
`(1.8* 10^8)/((1)/(60))`

=
`1.8* 60* 10^(8)=108* 10^8`

Molecules discharge by river in 1 minute is
`108* 3.35* 10^(25)* 10^8`

`=361.8* 10^(33) molecules\ per\ minute`

Answer 2

`(3.35 * 10^(25) molecules)/(1 liter) * (1.8 * 10^(8) liter)/(1 second) * (60 second)/(1 minute) = (3.35 * 1.8 * 60 * 10^(25+8) molecules)/(1 minute) = 3.618 * 10^(35) (molecules)/(minute)`