What is the value of the gas constant (R) in J/Kmol?

The gas constant (R) is a fundamental constant used in various equations associated with gases, particularly the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas. The value of R can be expressed in several different units depending on the application, but when expressed in joules per Kelvin-mole (J/K·mol), the correct value is approximately 8.31.

This value reflects the amount of energy (in joules) that one mole of an ideal gas would need to change its temperature by one kelvin. The significance of this constant extends beyond chemistry; it plays a pivotal role in thermodynamics and physical chemistry by helping to describe the behavior of gases under various conditions.

In contrast, the value 0.0821 relates to the gas constant when expressed in liters at atmospheric pressure per mole per kelvin (L·atm/K·mol), and it is often used in applications involving the ideal gas law under those units.

The values of 8.31 x 10^-3 and 0.0831 are incorrect in this context as they do not properly represent the gas constant in the required units of J/K·mol. Thus, the appropriate and correct value for R