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NEET PHYSICSEasy

The SI unit of universal gas constant (R) is

A

Watt K1 mol1\text{Watt K}^{-1} \text{ mol}^{-1}

B

Newton K1 mol1\text{Newton K}^{-1} \text{ mol}^{-1}

C

Joule K1 mol1\text{Joule K}^{-1} \text{ mol}^{-1}

D

Erg K1 mol1\text{Erg K}^{-1} \text{ mol}^{-1}

Step-by-Step Solution

According to the ideal gas equation pV=nRTpV = nRT, the universal gas constant is given by R=pVnTR = \frac{pV}{nT}. The SI unit of pressure (pp) is N m2\text{N m}^{-2} (Pascal), volume (VV) is m3\text{m}^3, amount of substance (nn) is mol\text{mol}, and temperature (TT) is K\text{K}. Therefore, the SI unit of RR is N m2×m3mol K=N mmol K=Jmol K\frac{\text{N m}^{-2} \times \text{m}^3}{\text{mol K}} = \frac{\text{N m}}{\text{mol K}} = \frac{\text{J}}{\text{mol K}} or Joule K1 mol1\text{Joule K}^{-1} \text{ mol}^{-1} .

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