## PHYSICS Question 16 of 50 1 poin Each water molecule has a mass of roughly 3.0 10^26 kg. How many water molecules are th

Question

PHYSICS
Question 16 of 50
1 poin
Each water molecule has a mass of roughly 3.0 10^26 kg. How many water
molecules are there in a glass of water (250 ml)? [Note: 1 ml = 1 cm^3, and
the density of water is 1.00 g/cm^3.] (CLO2, C4)(N2)
a) 8.3 X 10^22 molecules
b) 8.3 x 1023 molecules
c) 8.3 x 10^24 molecules
d) 8.3 x 10^21 molecules
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5 months 2021-08-15T03:07:00+00:00 1 Answers 9 views 0

c) 8.3 x 10^24 molecules

Explanation:

First of all, we convert the volume of the glass of water from mL to :

The relationship between mass and volume is:

where

is the density of water

M is the total mass of the glass of water

is the volume of the water in the glass

Solving for M,

Now we know that the mass of a single molecule of water is

The total mass of the water in the glass can be written as

where

N is the number of molecules in the glass of water

Solving for N, we find: