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Units and Dimensions

Which of the ...

Question

Which of the following is the correct value of $R$ in $S I$ units?

0.083

b a r

d m^{3} K^{- 1} m o l^{- 1}

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1.98 c a l K^{- 1} m o l^{- 1}

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

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8.314 J K^{- 1} m o l^{- 1}

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Solution

The correct option is B $8.314 J K^{- 1} m o l^{- 1}$
$R$ is called as universal gas constant or molar gas constant.
$R = 0.0821 L a t m {m o l}^{- 1} k^{- 1} R = 0.0831 {d m}^{3} b a r {m o l}^{- 1} k^{- 1} R = 8.314 J {m o l}^{- 1} k^{- 1} R = 8.314 \times 10^{7} e r g {m o l}^{- 1} k^{- 1} R = 1.98 C a l {m o l}^{- 1} k^{- 1}$
The $S . I$ units of molar gas constant $(R)$ is $J {m o l}^{- 1} k^{- 1}$ .
$∴ R = 8.314 J {m o l}^{- 1} k^{- 1}$ is the correct answer.

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Similar questions

l o g_{10}

A ⇌ B

(G i v e n : Δ_{r} H_{298 k}^{0} = - 54.07 k J m o l^{- 1},

Δ_{r} S_{298 k}^{0} = 10 J K^{- 1} m o l^{- 1}

a n d R = 8.314 J K^{- 1} m o l^{- 1};

2.303 \times 8.314 \times 298 = 5705)

l o g_{10}

A ⇌ B

△_{r} H_{298 K} = - 54.07 k J m o l^{- 1}, △_{r} S_{298 K}^{o} = 10 J K^{- 1} m o l^{- 1} a n d R = 8.314 J K^{- 1} m o l^{- 1}; 2.303 \times 8.314 \times 298 = 5705) .

l o g_{10} K

A ⇌ B

Δ_{r} H_{298 K}^{0} = - 54.07 k J m o l^{- 1}

Δ_{r} S_{298 K}^{o} = 10 J K^{- 1} m o l^{- 1}

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

2.303 \times 8.314 \times 298 = 5705 J m o l^{- 1}

^{'} R^{'}

c c a t m K^{- 1} m o l^{- 1}

t o r r c c K^{- 1} m o l^{- 1}

k P a l i t r e K^{- 1} m o l^{- 1}

{log}_{10}

A ⇌ B

Given - △_{r} H_{298 K}^{\circ} = - 54.07 k J m o l^{- 1}, △_{r} S_{298 K}^{\circ} = 10 J K^{- 1} m o l^{- 1}

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

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