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

answer : one can design an experiment using a liquid and an additive that can be added to the liquid and observe the chemical changes in the reaction species.

one would need a beaker which is filled with a known amount of the liquid in which thermometer is placed to measure the temperature changes; after addition of the additive to the liquid solution one can note down the temperature change and find whether the reaction is endothermic or exothermic in nature. by subtracting the initial temperature value with the final temperature one can find the temperature changes.

various combinations of liquid and additive can be used. liquid in this case can be a known quantity of water and additives can be epsom salt or without epsom salt the experiment can be conducted to notice the changes. water and ice, hydrogen peroxide and dry yeast, vinegar and baking soda,etc.