It turns out that the van dar waals constant b is equal to four times the total volume actually occupied by the molecules of a mole of gas. using this figure, calculate the fraction of the volume in a container actually occupied by ar atoms:
a) at stp
b) at 100 atm pressure and 0 degrees celsius

The fraction of the volume in a container actually occupied by Ar atoms is a) 6.1L/mol and b) 0.2L/mol

Explanation:

The constant b is equal to four times the total volume actually occupied by the molecules of a mole of gas thus,

(1)

where Vm is the molar volume, V is the volume and n is the number of moles.

Also, for an ideal gas the equation of gases is P.V = n.R.T (2)

where P is the pressure, V is the volume, n is the number of moles, R is the gases constant and T is the temperature.

In a) the STP conditions establishes pressure (P) of 1 atm and a temperature (T) of 298K.  Using the equation (2) the volume of 1 mol of argon is 24.4L, thus

In b) at 100 atm pressure and 0 degrees Celsius (or 273K) using the equation (2) the volume of 1 mol of argon is 0.2L, thus

ca has a crystalline lattice with positive ions (since it is a metal, metals are positively charged) and electrons flow freely in its structure since the ca atoms have a large nuclear radius so the electrons are not tightly held, therefore the electrons can flow freely since they are not being highly attracted by the nucleus. moreover, one of the properties of metals are that they are conductors of electricity, thus proving ca is the element.