Question

Which of the following can be regarded as a gas so that gas laws could be applicable, within the commonly encountered temperature limits?
(a) ${{O}_{2}},\text{ }{{N}_{2}},\text{ }C{{O}_{2}},\text{ }steam$
(b) ${{O}_{2}},\text{ }{{N}_{2}},\text{ water vapor}$
(c) $S{{O}_{2}},\text{ }N{{H}_{3}},\text{ }C{{O}_{2}},\text{ moisture}$
(d) ${{O}_{2}},\text{ }{{N}_{2}},\text{ }{{\text{H}}_{2}},\text{ air}$

Answer 1

Hint: Gas laws can be applied to the gases that have very little atomic interactions, the gases which have very low volume, and the gases must be non-polarized.

Complete step by step answer:
The gas laws are applied to those gases within commonly encountered temperature limits, in which the atomic interactions are very little. The volume of the gas must be low as compared to the volume of the container. The gases must be non-polarized.
So, in ${{O}_{2}},\text{ }{{N}_{2}},\text{ }C{{O}_{2}},\text{ }steam$, the carbon dioxide and steam are heavy gases and their force of attraction is also high. So, the gas law cannot be applied to all the gases.
In ${{O}_{2}},\text{ }{{N}_{2}},\text{ water vapor}$, water vapor is a heavy gas whose volume is not negligible as compared to the volume of the container. So, the gas law cannot be applied to all the gases.
In $S{{O}_{2}},\text{ }N{{H}_{3}},\text{ }C{{O}_{2}},\text{ moisture}$, all the gases are heavy gases and their volume is also large. $N{{H}_{3}}$ is a polar molecule. And the atomic interactions between the molecules of these gases are also very strong. So, the gas law cannot be applied to all the gases.
In ${{O}_{2}},\text{ }{{N}_{2}},\text{ }{{\text{H}}_{2}},\text{ air}$, all the gases are lighter due to their volume is very low as compared to the volume of the container. All the gases are non-polarized and their atomic interactions are also not strong. So, the gas law can be applied to all the gases.
So, the correct answer is an option (d) ${{O}_{2}},\text{ }{{N}_{2}},\text{ }{{\text{H}}_{2}},\text{ air}$.

Note: The gas laws are Boyle’s law: “The volume of the gas is inversely proportional to the pressure at constant temperature”. Charle’s law: "The volume of the gas is directly proportional to the temperature at constant pressure". Avogadro's law: "At the same temperature and pressure the gases with equal volumes will have an equal number of gases".