Calculate the density of a proton, given that the mass of a proton is 1.0073 amu and the diameter of a proton is 1.73 × 10 ^− 15 m . the answer should be in g/cm^3

Density = 6.17 * 10^14 g/cm³

Explanation:

Given Parameters

Mass of the proton = 1.0073 amu

Diameter of the proton = 1.75 * 10^-15 m

Required:

Calculate the density of the proton.

Density is calculated using the following formula;

Density = mass / volume

Where mass should be in grams and volume should be in cm ³

Calculating mass of a proton in grams.

Mass = 1.0073 amu

First, we convert to kilogram

Mass = 1.0073 * 1.66054 * 10^-27 kg

Then we convert to grams

Mass = 1.0073 * 1.66054 * 10^-27 * 10³ g

Mass = 1.0073 * 1.66054 * 10^-24 g

Mass = 1.673 * 10^-24 g

Then we calculate the volume of the proton

Volume = 4/3πR³ where R = Radius

And R = ½d.

First calculate the radius in centimetres

R = ½ * 1.73 * 10^-15 m

R = 0.865 * 10^-15

Convert to centimetres

R = 0.865 * 10^-15 * 10² m

R = 0.865 * 10^-13 cm

So, Volume = 4/3 * 3.14 * (0.865 * 10^-13)³

Volume = 4.187 * (0.865 * 10^-13)³

V = 4.187 * 0.865³ * 10^-39

V = 2.71 * 10^-39cm³

So, density = Mass / Volume becomes

Density = 1.673 * 10^-24 g / 2.71 * 10^-39cm³

Density = 0.617 * 10^15 g/cm³

Density = 6.17 * 10^14 g/cm³

the earth would become to overheated and everything alive on it will eventually die from overheating. plants will eventually die as well, water will evaporate, and it will be nothing but a hot planet without anything living on it.

a corroding iron, if that's one of your choices