Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 70 pm. Calculate the volume of the nucleus and the volume of the atom. What percentage of the carbon atom's volume is occupied by the nucleus?

Can someone tell me how to do this?

Volume= 4/3 PI radius^3

calculate the volume of the nucleus from this formula.

A solution of ethanol (C2H5OH) in water is prepared by dissolving 68.0 mL of ethanol (density = 0.79 g/cm3) in enough water to make 225.0 mL of solution. What is the molarity of the ethanol in this solution? Could you show me how to work this problem?

the density of ethanol a colorless liquid that is commonly known as grain alcohol is 0.798 grams per milliliters calculate the mass of 17.4 milliliters of the liquid

To calculate the volume of the nucleus, we can use the formula for the volume of a sphere:

Volume = (4/3) * π * r^3

Given that the radius of the nucleus is approximately 70 pm (picometers), we can convert it to centimeters by dividing by 10^12:

radius = 70 pm / (10^12 cm/pm)

Now we can substitute the value of the radius into the volume formula:

Volume_nucleus = (4/3) * π * (radius)^3

To calculate the volume of the atom, we need to consider the electron cloud surrounding the nucleus. The electron cloud is much larger than the nucleus, so we can assume that the volume of the atom is mostly occupied by the electron cloud and negligible for the nucleus.

Therefore, the volume of the atom is approximately equal to the volume of the electron cloud.

To find the percentage of the carbon atom's volume occupied by the nucleus, we divide the volume of the nucleus by the volume of the atom and multiply by 100:

Percentage = (Volume_nucleus / Volume_atom) * 100

To calculate the molarity of the ethanol in the solution, we need to use the formula:

Molarity (M) = moles of solute / volume of solution in liters

First, we need to find the mass of ethanol. We know the density of ethanol (0.79 g/cm^3) and the volume (68.0 mL). We can use the formula:

Mass = density * volume

Mass = 0.79 g/cm^3 * 68.0 mL

Now we need to convert the volume of the solution to liters:

Volume_solution = 225.0 mL / 1000 mL/L

Now we can calculate the moles of ethanol using the formula:

moles = mass / molar mass

The molar mass of ethanol (C2H5OH) can be found from the periodic table or by adding up the atomic masses of carbon (12.01 g/mol), hydrogen (1.01 g/mol), and oxygen (16.00 g/mol):

Molar mass_ethanol = 2 * atomic mass_carbon + 6 * atomic mass_hydrogen + atomic mass_oxygen

Finally, substitute the values into the molarity formula:

Molarity = moles / Volume_solution

And that's how you calculate the molarity of ethanol in the solution.