Question

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

• A. 0.082 L-atm $K^{-1}mo{l}^{-1}$
• B. 0.082 $L-at{m}^{-1}$ K mol
• C. 0.082 L-atm K mol
• D. 0.082 $L-at{m}^{-1}$ K mol

Answer 1

Answer: (A)

We know
$pV=nRT$
$R=\frac{pV}{nT}$
$R=\frac{pV}{nT}$
$=\frac{\text{ pressure }\times \text{ volume }}{\text{ mole }\times \text{ temperature }}$
$=\frac{\text{ work or energy }}{\text{ mole }\times \text{ temperature }}$
$R$ is expressed in the unit of work or energy $mo{l}^{-1}{K}^{-1}$.
The different values of $R$ are summarised below
$R=0.0821Latmmo{l}^{-1}{K}^{-1}$
$=8.3143\times 10^{7}ergmo{l}^{-1}{K}^{-1}$
$=8.3143Jmo{l}^{-1}{K}^{-1}$
$=8.3143Nmmo{l}^{-1}{K}^{-1}$
$=8.3143\times 10^{-3}kJmo{l}^{-1}{K}^{-1}$
$=1.987calmo{l}^{-1}{K}^{-1}$
$=5.189\times 10^{19}eVmo{l}^{-1}{K}^{-1}$