Calculate the value of molar gas constant, $^{'} R^{'}$ in (i) $c c a t m K^{- 1} m o l^{- 1}$ (ii) $t o r r c c K^{- 1} m o l^{- 1}$ (iii) $k P a l i t r e K^{- 1} m o l^{- 1}$ .

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Solution

(i) When the pressure is expressed in atmosphere and volume in $c c$ .
$P = 1 a t m^{'} V = 22400 c c$
$R = \frac{P V}{n T} = \frac{1 \times 22400}{1 \times 273} = 82.1 c c a t m K^{- 1} m o l^{- 1}$

(ii) When the pressure is expressed in torr and volume in $c c$ .
$P = 760 t o r r; V = 22400 c c$
$R = \frac{760 \times 22400}{1 \times 273} = 62360 t o r r c c K^{- 1} m o l^{- 1}$

(iii) When the pressure is expressed in kilo Pascal and volume in litre.
$P = 101.3 k P a; V = 22.4 l i t r e$
$R = \frac{P V}{n T} = \frac{101.3 \times 22.4}{1 \times 273} = 8.31 k P a l i t r e K^{- 1} m o l^{- 1}$

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Calculate the value of molar gas constant, ′R′ in (i) cc atm K−1mol−1 (ii) torr cc K−1mol−1 (iii) kPa litre K−1mol−1.

Calculate the value of molar gas constant, $^{'} R^{'}$ in (i) $c c a t m K^{- 1} m o l^{- 1}$ (ii) $t o r r c c K^{- 1} m o l^{- 1}$ (iii) $k P a l i t r e K^{- 1} m o l^{- 1}$ .