Question

For $5L$ of nitrogen measured at $750mm$ have to be compressed into an iron cylinder of $1L$ capacity. If temperature is kept constant, calculate the pressure in atmospheres required to do so?(as nearest integer)

Answer 1

Hint:We must need to know that the nitrogen, also called pnictogens, is the lightest member of group $15$ of the periodic table. It is a common factor in the universe, measured in the Milky Way and the Solar System to be about seventh in total abundance. Two atoms of the element bind to form dinitrogen, a colourless and odourless diatomic gas with the formula ${N_2}$ , at normal temperature and pressure. Around $78\% $ of the atmosphere of the Earth is created by dinitrogen, making it the most abundant uncombined substance.
The physical force exerted on an object is known as pressure. Per unit field, the force applied is perpendicular to the surface of objects. F/A is the basic formula for pressure (Force per unit area). Pascals Unit of Pressure is (Pa). Absolute, Ambient, Differential, and Gauge Pressure forms of pressure.
Formula used
\[{P_1}{V_1} = {P_2}{V_2}\]
Where,
\[{P_1}\] - Initial pressure
\[{P_2}\] -Pressure of the gas after the change
${V_1}$ -Initial volume
\[{V_2}\] - Volume of the gas after the change

Complete step by step answer:
As an inert industrial gas, nitrogen is used to isolate critical goods and processes from the air as a blanketing agent. It is also used in pipes and appliances as a purging agent to avoid contamination.
Inert gases such as argon, helium, neon, and nitrogen are non-toxic and do not burn or burst. Yet, if they are present in sufficiently high concentrations, they may cause injury or death. To decrease oxygen levels, they can displace enough air.
Given
\[{V_1} = 5L\]
\[{P_1} = 750mm\] or \[\dfrac{{750}}{{760}}atm\]
\[{V_2} = 1L\]
To find
\[{P_2} = ?\]
\[{P_2} = \dfrac{{{P_1}{V_1}}}{{{V_2}}} = \dfrac{{\left( {\dfrac{{750}}{{760}} \times 5} \right)}}{{\dfrac{1}{1}}}\]
On simplification we get,
${P_2} = 4.93atm$
The closest integer number is $5$ .

Note:
Since nitrogen gas is $78\% $ of the air we breathe, many individuals believe that nitrogen is not harmful. However, only when combined with the required quantity of oxygen is nitrogen safe to breathe. No sense of smell can detect these two gases.
We need to remember that the inert gases are not poisonous and do not burn or burst, such as argon, helium, neon, and nitrogen. Yet, if they are present in sufficiently high concentrations, they may cause injury or death. To decrease oxygen levels, they can displace enough air.