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Question

Chemistry Question on Gas laws

The correct value of the gas constant 'R' is close to

A

0.082 L atm K

B

0.082 L atm K−1mol−1K^{-1} mol^{-1}

C

0.082 L atm−1Kmol−1atm^{-1} K mol^{-1}

D

0.082 L−1atmKmol−1L^{-1} atm K mol^{-1}

Answer

0.082 L atm K−1mol−1K^{-1} mol^{-1}

Explanation

Solution

The numerical value of R depends upon the units in which pressure and volume are expressed.
When pressure is expressed in atmosphere and volume in litres, then the value of R at STP for 1 mole of gas is
          R=1atm×22.414 L1mole×273.15 K\, \, \, \, \, \, \, \, \, \, R=\frac{1 atm \times 22.414\, L}{1 mole \times 273.15\, K}
          =0.082LatmK−1mol−1\, \, \, \, \, \, \, \, \, \, = 0.082 L atm K^{-1} mol^{-1}