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

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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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Tài Đức 5 months 2021-08-15T03:07:00+00:00 1 Answers 9 views 0

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    2021-08-15T03:08:39+00:00

    Answer:

    c) 8.3 x 10^24 molecules

    Explanation:

    First of all, we convert the volume of the glass of water from mL to cm^3:

    V=250 mL = 250 cm^3

    The relationship between mass and volume is:

    d=\frac{M}{V}

    where

    d=1.00 g/cm^3 is the density of water

    M is the total mass of the glass of water

    V=250 cm^3 is the volume of the water in the glass

    Solving for M,

    M=dV=(1.00)(250)=250 g = 0.250 kg

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

    m=3.0\cdot 10^{-26}kg

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

    M=Nm

    where

    N is the number of molecules in the glass of water

    Solving for N, we find:

    N=\frac{M}{m}=\frac{0.250}{3.0\cdot 10^{-26}}=8.3\cdot 10^{24}

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