Gas Constant and Its Value

Gas constant (R) is a fundamental physical constant that relates the amount of energy a gas has to its temperature, pressure, and volume. It is used in various thermodynamic equations, such as the ideal gas law.

The gas constant per degree per mole is the value of R divided by the number of degrees and moles in the system. The value of gas constant per degree per mole is approximately 2 cal. This means that for every degree of temperature change in a mole of gas, there will be a change in energy of 2 calories.

Explanation

The value of gas constant per degree per mole can be calculated by dividing the gas constant (R) by the number of degrees (T) and the number of moles (n) in the system.

R = 8.314 J/mol K (universal gas constant)

1 cal = 4.184 J

Thus, the value of gas constant per degree per mole is:

R/Tn = (8.314 J/mol K)/(1 mol x 1 K) = 8.314 J/mol

8.314 J/mol = 1.987 cal/mol

Therefore, the value of gas constant per degree per mole is approximately 2 cal.

Importance

The gas constant per degree per mole is important in many thermodynamic calculations, such as determining the work done by a gas during a process, calculating the heat capacity of a substance, and predicting the behavior of gases under different conditions.

Conclusion

The gas constant per degree per mole is a fundamental physical constant that relates the amount of energy a gas has to its temperature, pressure, and volume. Its value is approximately 2 cal, which is used in various thermodynamic calculations.