Question

What is the density of $S{O_2}$ gas at ${27^ \circ }C$ and $2$ atmospheric pressure?

Answer 1

Hint: Density, mass of a unit volume of a material substance. Density is commonly expressed in units of grams per cubic centimetre. In this we are using the ideal gas equation to calculate the density of the $S{O_2}$. The empirical relationships among the volume, the temperature, the pressure, and the amount of a gas can be combined into the ideal gas law, $PV = nRT$

Complete answer:
Density is a measure of mass per unit of volume. The average density of an object equals its total mass divided by its total volume. An object made from a comparatively dense material will have less volume than an object of equal mass made from some less dense substance.
The Density Calculator uses the formula $\rho = \dfrac{m}{V}$, or density is equal to mass divided by volume. The calculator can use any two of the values to calculate the third. Density is defined as mass per unit volume.
Here, we are using ideal gas equation to calculate the density of $S{O_2}$
The empirical relationships among the volume, the temperature, the pressure, and the amount of a gas can be combined into the ideal gas law, $PV = nRT$.
where $P = $pressure, $V = $ volume, $T = $ temperature, $g = $ weight of the gas $R = $ the ideal gas constant. This equation may be rearranged to give the density of the gas.
$
  d = \dfrac{{PM}}{{RT}} \\
  d = \dfrac{{2 \times 64}}{{0.082 \times 300}} \\
  d = 5.2\dfrac{g}{L} \\
$

Note:
The key difference between density and weight is that weight is a measure of the amount of matter in an object, whereas density measures the amount of matter in a unit volume. Both properties are related to mass. Density is defined as the physical property of matter that deals with the mass of an object per volume in itself.” On the other hand, weight is also a physical property of matter that concerns the mass of an object with consideration to the force that affects that object.