The gas constant is the generic constant in a gaseous state equation that is equal to the product of one mole’s pressure and volume divided by absolute temperature.

 Other scientific names for the gas constant are Molar Gas Constant, Universal Gas Constant, and Ideal Gas Constant. The letter R/r stands for it. The gas constant is similar to the Boltzman constant, however it is expressed in terms of energy per degree of temperature increase per mole.

The Gas Constant is an essential component in a number of physics laws and principles. It is utilised as a basic element in equations and as a combination constant in many laws.

Value of r in atm

Now we will take a deeper look at what do we mean by atm, how to calculate the value of universal gas constant and lastly, at value of r in atm and nm-²  

atm

The standard atmosphere is the same as the mean atmospheric pressure at sea level. It is equal to the pressure exerted by a 760 mm (29.9213 inch) high vertical column of mercury (as in a barometer). 101,325 pascals, or newtons of force per square metre, is the equal of one standard atmosphere, often known as one atmosphere (approximately 14.7 pounds per square inch).

A barometer is often used to measure atmospheric pressure. As the weight of the atmosphere changes, a column of mercury in a glass tube rises or falls in a barometer. The height to which the mercury rises is used by meteorologists to define atmospheric pressure.

At 15 degrees Celsius, one atmosphere (atm) is a unit of measurement equal to the average air pressure at sea level (59 degrees Fahrenheit). One atmosphere contains 1,013 millibars of mercury, or 760 millimetres (29.92 inches)

 Denali, Alaska, has roughly half the atmospheric pressure of Honolulu, Hawaii. Honolulu is a sea-level city. Denali, commonly known as Mount McKinley, is North America’s tallest mountain. As the pressure drops, so does the quantity of oxygen accessible to breathe. At extremely high elevations, the available oxygen and air pressure are so low that individuals may get ill and perhaps die.

R

In the construction of the general gas law, a fundamental physical constant arises. The pressure p times the volume V of the gas divided by its absolute temperature for an ideal gas (approximately most actual gases that are not extremely compressed or at the point of liquefaction). 

When one of these three is changed for a given quantity of gas, at least one of the other two changes to keep the PV/T equation constant. Furthermore, the constant holds true for all gases if the mass of the gas being compared is one mole, or one molecular weight in grams.

The universal gas constant R has the dimensions of energy per degree per mole. R is 8.3144598 joules per kelvin (K) per mole in the metre-kilogram-second system.

The Gas Constant is an essential component in a number of physics laws and principles. It is utilised as a basic element in equations and as a combination constant in many laws.

1.Boyle’s Law – As the volume (V) of a gas decreases, the pressure (P) of the gas rises. It may be stated mathematically as P is inversely proportional to V.

2.Charles Law – Despite constant pressure, the volume of a gas increases as the temperature (T) rises. As a result, V is proportional to T mathematically.

3.Avogadro’s Law – At the same temperature and pressure, all gases have the same number of molecules.

4.Gay Lussac’s law – When the volume is held constant, the pressure of a given amount of gas changes directly with the absolute temperature of the gas.

The denominating constant value used to highlight the relationships between energy and temperature scale is the gas constant value. The proportionality constant value is one mole at a certain temperature. As previously stated, the gas constant is the outcome of a mixture of laws that results in the final value of R. (gas constant).

R = 8.3144598(48) J⋅mol−¹⋅K−¹

How to calculate the value of universal gas constant

We can do it in the following ways-

The Gas Constant is the physical constant in the Ideal Gas Law equation.

 PV=nRT

P stands for pressure, V for volume, n for moles, and T for temperature. You may solve for R by rearranging the equation:

R= PV/nT

value of R in atm and nm-²

In atm- 8.20578 x 10-² L atm K-¹ mol-¹

In nm-²– 8.314 J/ Mol. K

Conclusion-

In this article we have read about what we mean by universal gas constant, atm, how to calculate the value of R in atm and nm-² and lastly, we saw the value of R in different mediums. It’s only significant if you wish to link a gas’s pressure, volume, moles, or temperature to any of the other quantities. It is a proportionality constant for the PV/nT ratio, where P is pressure, V is volume, n is gas moles, and T is Kelvin temperature.