What Is the Value of R (Gas Constant)?

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Detailed Solution

The gas constant, symbolized as R, is a fundamental physical constant used in the ideal gas law (PV = nRT). Its value depends on the units used for pressure, volume, and temperature:

Common Values of R

Value	Units	Use Case
8.314	J·mol⁻¹·K⁻¹	SI units (Pa, m³, K)
0.0821	L·atm·mol⁻¹·K⁻¹	Chemistry (atm, L, K)
62.36	L·Torr·mol⁻¹·K⁻¹	Pressure in Torr

Ideal Gas Law

Equation: PV = nRT
- P = Pressure
- V = Volume
- n = Number of moles
- R = Gas constant
- T = Temperature (Kelvin)

Significance

The gas constant bridges the relationship between the macroscopic properties of gases and the amount of substance.
It is used in calculations involving pressure, volume, temperature, and the number of moles of a gas.

Conclusion

The most widely accepted value of R in SI units is 8.314 J·mol⁻¹·K⁻¹. Always ensure unit consistency when applying the gas constant in calculations.

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