Question

The density of a gas is \[1.964{\text{ }}g{\text{ }}/{\text{ }}d{m^{ - 3}}\]at \[273{\text{ }}K\] and \[76{\text{ }}cm{\text{ }}Hg\]. The gas is \[C{O_2}/C{H_4}\].

Answer 1

Hint: The best fueloline regulation, additionally known as the overall fueloline equation, is the equation of nation of a hypothetical best fueloline. It is a superb approximation of the conduct of many gases below many conditions, even though it has numerous limitations. It changed into first said via way of means of Benoît Paul Émile Clapeyron in 1834 as a mixture of the empirical Boyle's regulation, Charles's regulation, Avogadro's regulation, and Gay-Lussac's regulation.

Complete answer:
The gas is carbon dioxide
 Ideal gas law states that:
\[pV = nRT\]
In terms of density ideal gas law can be stated as:
\[M = d{\text{ }}\left( {\dfrac{{RT}}{p}} \right)\]
  \[\begin{array}{*{20}{l}}
  {d = 1.964g/d{m^{ - 3}} = 1.964 \times {{10}^{ - 3}}g/cc} \\
  {P{\text{ }} = {\text{ }}76{\text{ }}cm{\text{ }} = {\text{ }}760{\text{ }}mm{\text{ }}Hg{\text{ }} = {\text{ }}1{\text{ }}atm} \\
  {R{\text{ }} = {\text{ }}0.0821{\text{ }}L{\text{ }}atm{\text{ }}{K^{ - 1}}mo{l^{ - 1}}} \\
  { = 82.1{\text{ }}cc{\text{ }}atm{K^{ - 1}}mo{l^{ - 1}}} \\
  {T = 273K} \\
  \therefore M = \dfrac{{\left( {1.964 \times {{10}^{ - 3}} \times 82.1 \times 273} \right)}}{1}{\text{ }} \\
   = \;{{44g}}/{{mol}} \\

\end{array}\]
The molecular weight of \[C{O_2}\] is 44.
So, the gas is \[C{O_2}\]
The equation of nation given here (\[pV = nRT\]) applies handiest to a perfect fueloline, or as an approximation to an actual fueloline that behaves sufficiently like a perfect fueloline. There are in truth many one of a kind of the equation of nation. Since the correct fueloline regulation neglects each molecular length and inter molecular points of interest, it's far maximum correct for monatomic gases at excessive temperatures and occasional pressures. The forget about molecular length turns into much less essential for decreasing densities, i.e. for large volumes at decreasing pressures, due to the fact the common distance among adjoining molecules turns into lots larger than the molecular length. The relative significance of intermolecular points of interest diminishes with growing thermal kinetic energy, i.e., with growing temperatures. More distinct equations of nation, which includes the van der Waals equation, account for deviations from ideality because of molecular length and intermolecular forces.

Note:
The best fueloline regulation money owed for pressure (P), volume (V), moles of fueloline (n), and temperature (T), with an delivered proportionality constant, the correct fueloline constant (R). The normal fueloline constant, R, is identical to $8.314JK^{-1}mol^{-1}$.