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Question

Physics Question on Units and measurement

The unit of universal gas constant is

A

watt/K

B

dyne/∘Cdyne/{}^\circ C

C

erg/K

D

newton/∘Rnewton/{}^\circ R

Answer

erg/K

Explanation

Solution

Ideal gas law is given by pV=RTp V=R T ∴R=pVT= Unit of work  Unit of temperature \therefore R=\frac{p V}{T}=\frac{\text { Unit of work }}{\text { Unit of temperature }} ⇒R= erg K\Rightarrow R =\frac{\text { erg }}{ K }