Value of R in atm – Universal Gas Constant, Definition, Formula

The Value of R plays a crucial role in understanding various important concepts such as kinetic theory and fundamental equations of thermodynamics, etc. This is often called a gas constant, which is used to represent the product of pressure and volume. Moreover, the Value of R is often referred to as energy per temperature increase per mole. Besides, the Value of R in atm is also stated as Universal Gas Constant Molar Constant or Ideal Gas Constant. 

Value of Gas Constant

Value of R in atm - Universal Gas Constant, Definition, Formula

Firstly, the gas constant value is defined as the work done by the gas per unit mole per unit temperature change. The gas constant is denoted by the letter, and it has a constant value of, 

\(R = Jmol^{-1} k^{-1}\)

Formula of Gas Constant

Now in order to calculate the gas constant, using the ideal gas equation, 

PV = nRT

For rearranging equations,  

R = PV/nT

Where, 

R = Universal Gas Constant 

V = Ideal Gas Volume’s 

T = Temperature 

P = Ideal Gas Pressure 

N = Number of Moles 

Units of Gas Constant

As you know the Value of the gas constant has expressed in various types of units, such as 

Values of R  Units 
8.3144598  \(J k^{-1} mol^{-1}\)
62.363577  \(L Torr k^{-1} mol^{-1}\)
0.082057338  \(L atm k^{-1} mol^{-1}\)
1.9872036 × 10-3  \(Kcal k^{-1} mol^{-1}\)
8.3144598 × 10-2  \(L bar k^{-1} mol^{-1}\)
8.3144598 × 103  \(amu m^{2} s^{-2} K^{-1}\)
8.2057338 × 10-5  \(m^{3} atm K^{-1} mol^{-1}\)

Conclusion

In the above article, we have provided a comprehensive description of the Value of R in atm, as well as its formula, value, and different units of gas constant in much more detail. As you know, there are many complex topics or constants in Physics subject, which play an effective role in understanding multiple topics, and solving various types of questions easily. So, if you are struggling with complex topics in Physics and are not getting good marks. Then it is better for you to join the Home Tutor Online Interactive Classes provided by the Tutoroot Platform, as they will help you understand all the topics more easily with the help of expert staff, and provide access to some of the best educational guides and various other features. 

Frequently Asked Questions

What is the Value of Universal Gas Constant? 

As explained above, the Value of Universal Gas Constant

R=8.3144598(48)\(Jmol^{-1} k^{-1}\)

What is Specific Gas Constant? 

The specific gas constant is defined as the amount of mechanical work obtained by heating a unit of mass of gas through a unit temperature rise at constant pressure. 

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