Question

Convert 7.89 x 10^8 molecules of water to liters.

Help I have hw due and I don’t understand this question

Answer 1

2.94 x 10⁻¹⁴L

Step-by-step explanation:

To solve this problem, we have to assume that the condition of this water is at standard temperature and pressure, STP.

At STP;

1 mole of gas have a volume of 22.4L

So, let us find the number of moles of this water first;

6.02 x 10²³ molecules can be found in 1 mole of a substance

7.89 x 10⁸ molecules will contain
`(7.89 x 10^(8) )/(6.02 x 10^(23) )` = 1.31 x 10⁻¹⁵mole of water

So;

Volume of water = 22.4 x 1.31 x 10⁻¹⁵ = 2.94 x 10⁻¹⁴L