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Which of the following is the correct va...

Which of the following is the correct value of `R` in `SI` units ?

A

`0.083 bar dm^(3) K^(-) mol^(-1)`

B

`1.98 cal K^(-1) mol^(-1)`

C

`8.314 xx 10^(7) erg K^(-1) mol^(-1)`

D

`8.314 JK^(-1) mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
The volume of one mole of an ideal gas under `STP` conditions (`273.15 K` and `1 bar` pressure) is `22.710981 L mol^(-1)`. The value of `R` of an ideal gas can be calculated under these conditions as follows:
`R = (10^(5) Nm^(-2)) ((22.71 xx 10^(-3) m^(3)))/((1 mol)(273.15 K) `
`= 8.314 Pa m^(3) K^(-1) mol^(-1) (or 8.314 JK^(-1) mol^(-1))`
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