What is the value of the ideal gas constant (R) in the ideal gas equation?

JAMB Chemistry 2023 212 views
Source: JAMB · 2023

What is the value of the ideal gas constant (R) in the ideal gas equation?

  1. 8.31 JK⁻¹mol⁻¹ or 0.082 atmdm³K⁻¹mol⁻¹ ✓
  2. 0.0921 atm·L/mol·K or 0.0921 atmdm³K⁻¹mol⁻¹
  3. 2.987 cal/mol·K or 2.987 atmdm³K⁻¹mol⁻¹
  4. 27.414 L/mol or 27.414 atmdm³K⁻¹mol⁻¹
Explanation

The ideal gas constant R has the value 8.31 J/(K·mol) in SI units or 0.082 atm·L/(K·mol) in other common units. The value depends on which units you use for pressure and volume.

R appears in the ideal gas equation PV = nRT, connecting pressure, volume, temperature, and number of moles. This constant is the same for all ideal gases.

Different unit systems require different R values, but they all represent the same physical constant. Choose the R value that matches your pressure and volume units.

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