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Q.

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

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