Calculate the density of nitrogen gas at a temperature of 101 °c and at a pressure of 1.00 atm. express your answer in g/l.

The density is given by the following formula:

  (1)

Where is the mass and the volume.

On the other hand, the Ideal Gas equation is:

  (2)

Where:

is the pressure of the gas

the number of moles of gas

is the gas constant

is the absolute temperature of the gas in Kelvin.

This means the  101 °C must be converted to Kelvin, using the following formula:

Then:

Now, we are going to rewrite equation (2) to find the volume:

  (3)

It is known the number of moles of gas is given by:

  (4)

Where is the mass of the gas and its molecular mass.

In the case of Nitrogen

Substituting (4) in (3) and simplifying:

  (5)

Dividing by in both sides:

  (6)

The next step is to elevate both sides to the power of , in order to have the inverse of this expression and write it in terms of the density:

  (7)

  (8)

Remembering equation (1): we can substitute it in (8)

  (9)>>>>Now we can find the density of nitrogen gas with the known values

Finally:

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.