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NEET PHYSICSUNITS AND MEASUREMENTSEasy

Question

The SI unit of universal gas constant (R) is

A

Watt K−1 mol−1\text{Watt K}^{-1} \text{ mol}^{-1}

B

Newton K−1 mol−1\text{Newton K}^{-1} \text{ mol}^{-1}

C

Joule K−1 mol−1\text{Joule K}^{-1} \text{ mol}^{-1}

D

Erg K−1 mol−1\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 m−2\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 m−2×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 K−1 mol−1\text{Joule K}^{-1} \text{ mol}^{-1} .

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from UNITS AND MEASUREMENTS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSUNITS AND MEASUREMENTSuniversalconstant

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