Q. The value of the gas constant R in SI units is:
SI इकाइयों में गैस स्थिरांक R का मान है:
Explanation
The universal gas constant R has different values depending on the units used:
SI Units (Standard International):
- R = 8.314 J/(mol·K)
- This is the primary SI value where energy is in Joules
Other common values:
- 0.0821 L·atm/(mol·K) - for pressure in atm, volume in L
- 1.987 cal/(mol·K) - for energy in calories
- 62.36 L·mmHg/(mol·K) - for pressure in mmHg
SI derivation:
- From PV = nRT, R = PV/(nT)
- SI units: Pa·m³/(mol·K) = N·m/(mol·K) = J/(mol·K)
- Therefore: R = 8.314 J/(mol·K)
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