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weqwewe [10]
3 years ago
11

The volume of the nucleus of a carbon atom is about 9.9 10⁻³⁹. the molar mass of carbon is 12.00 g mol⁻¹. what is the density of

the carbon nucleus?
Chemistry
1 answer:
IrinaVladis [17]3 years ago
3 0

Density is defined as the ratio of mass to the volume.

Density = \frac{Mass}{Volume}        (1)

Since, molar mass of carbon is given i.e. 12.00 g mol^{-1}, determine the mass of carbon, we get

1 amu = 1 g/mol

1 amu = 1.66\times 10^{-24} g

Mass of carbon = 12.00 \times 1.66\times 10^{-24}

= 19.92\times 10^{-24} g

=  1.992\times 10^{-23} g

Now, put the value of mass and volume in formula (1)

Density of carbon nucleus =  \frac{1.992\times 10^{-23} g}{9.9 \times 10^{-39} mL}  

= 0.201 \times 10^{16} g/mL

= 2.01 \times 10^{15} g/mL

Hence, density of carbon nucleus = 2.01 \times 10^{15} g/mL

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