Consider the following unit values of energy :

I. $1 L a t m$ II. $1 e r g$
III. $1 J$ IV. $k c a l$

Increasing the order of these values is :

I = I I = I I I = I V

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I < I I < I I I < I V

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I I < I I I < I < I V

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I V < I < I I I < I I I

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Solution

The correct option is C $I I < I I I < I < I V$
$R = 0.0821 L a t m m o l^{- 1} K^{- 1}$

$R = 8.314 \times 10^{7} e r g s m o l^{- 1} K^{- 1}$

$R = 8.314 J m o l^{- 1} K^{- 1}$

$R = 0.002 k c a l m o l^{- 1} K^{- 1}$

$∴ 1 L a t m = \frac{R}{0.0821} m o l K$

$1 e r g = \frac{R}{8.314 \times 10^{7}} m o l K$

$1 J = \frac{R}{8.314} m o l K$

$1 k c a l = \frac{R}{0.002} m o l K$

Thus, $I I < I I I < I < I V$

Hence, the correct option is C.

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Consider the following unit values of energy :I. 1 L atm II. 1 ergIII. 1 J IV. kcalIncreasing the order of these values is :

The correct option is C II<III<I<IVR=0.0821 L atm mol−1K−1R=8.314×107ergs mol−1K−1R=8.314 J mol−1K−1R=0.002 kcal mol−1K−1∴1L atm=R0.0821molK1 erg=R8.314×107molK1 J=R8.314mol K1 kcal=R0.002mol KThus, II<III<I<IVHence, the correct option is C.

Consider the following unit values of energy :

I. $1 L a t m$ II. $1 e r g$
III. $1 J$ IV. $k c a l$

Increasing the order of these values is :