Question

Gids plz help what is the unit of Universal Gas constant is it atm×Litre/mol ×Kelvin or Joule /mol× Kelvin and are these given quantities of universal gas constant same​

Answer 1

The actual formula for gas constant is

$\frac{pressure \times volume}{mole \times temperature}$

>>The first formula/unit you have mentioned is atm×Litre/mole × Kelvin

This formula is absolutely correct.

Here atm is pressure,

litre is volume

mole remains mole and

temperature is kelvin, considering the formula I mentioned above.

>>The second formula/unit you have mentioned is correct too. That is Joule/mole×kelvin.

Now,

we know, Joule is the unit of work. Work can be written as Force×Displacement.

Force = Pressure × Area

and displacement = m

So, Force× displacement that is work = pressure × m² × m

=> pressure × m³

=> pressure × volume.

Then,

Joule can also be written as pressure × volume.

Now the formula became the same.

Joule/mol×kelvin

=> pressure×volume/mole × temperature

Cheers!

If you have any doubts , ask them in comments. I hope you understood.