The SI unit of R in General Gas equation is:

Explanation

The SI unit of R (the ideal gas constant) in the General Gas equation (PV = nRT) is 8.3143 J K⁻¹ mol⁻¹ (Joules per Kelvin per mole). Here's how we derive this: Ideal Gas Equation: PV = nRT P = pressure (Pascals, Pa or N/m²) V = volume (cubic meters, m³) n = number of moles (mol) R = ideal gas constant T = temperature (Kelvin, K) Rearranging the equation to solve for R:R = PV / nT Now, let's look at the units: Pressure (P): Pa = N/m² = kg⋅m⁻¹⋅s⁻² Volume (V): m³ Number of moles (n): mol Temperature (T): K So the units of R are:(kg⋅m⁻¹⋅s⁻²)⋅m³ / (mol⋅K) = kg⋅m²⋅s⁻²⋅K⁻¹⋅mol⁻¹Since 1 Joule (J) is equal to 1 kg⋅m²⋅s⁻², the SI units of R can also be written as:J⋅K⁻¹⋅mol⁻¹ or J/(K⋅mol)The value of R is approximately 8.314 J K⁻¹ mol⁻¹.