Which of the following values of gas constant R is not correct?

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$62.36 Torr {dm}^{3} K^{- 1} {mol}^{- 1}$

$8.314 \times 10^{14} ({dynm}^{- 2}) ({mm}^{3}) K^{- 1} {mol}^{- 1}$

$82.06 atm {cm}^{3} K^{- 1} {mol}^{- 1}$

$8.314 {JK}^{- 1} {mol}^{- 1}$

answer is D.

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Detailed Solution

We know that $R = 0.08205 L atm K^{- 1} {mol}^{- 1}$

Hence

$\begin{array}{l} R = 0.08205 {dm}^{3} (760 Torr) K^{- 1} {mol}^{- 1} = 62.36 {dm}^{3} Torr K^{- 1} {mol}^{- 1} \\ R = 0.08205 (10 {cm}^{3} atm {KK}^{- 1} {mol}^{- 1} = 82.05 {cm}^{3} atm K^{- 1} {mol}^{- 1} \\ R = 8.314 {JK}^{- 1} {mol}^{- 1} = 8.314 (Nm) K^{- 1} {mol}^{- 1} = 8.314 (10^{5} dyn m^{- 2}) (10^{3} {mm}^{3} K^{- 1} {mol}^{- 1} \\ = 8.314 \times 10^{14} (dyn m^{- 2}) ({mm}^{3}) K^{- 1} {mol}^{- 1} \end{array}$