# Question about the Ideal Gas Constant?

The accepted value of R is 8.314 J mol-1 K-1. Which of the following units are exactly equivalent to this numerical value (magnitude) of R when it's expressed in those units?

I chose Pa m3 mol-1 K-1 as these happen to also be SI units, just like the R-value above.

Below are the given choices to this problem. Are there more units that happen to be equivalent to the accepted value of R? Thank you for your help.

a) Pa m3 mol-1 K-1

b) kPa L mol-1 K-1

c) bar L mol-1 K-1

d) kPa m3 mol-1 K-1

e) Pa L mol-1 K-1

### 4 Answers

- Dr WLv 71 month agoFavorite Answer
see the pic where I worked out the conversions for you. both A and B are correct answers.

- hcbiochemLv 71 month ago
Two of the answers are correct:

a) Pa m3 mol-1 K-1

b) kPa L mol-1 K-1

In addition to J⋅K−1⋅mol−1, another pressure-volume equivalent set of units is:

MPa cm3 K−1 mol−1

- JimLv 71 month ago
SI Units R values:

8.31446261815324 J⋅K−1⋅mol−1

8.31446261815324 m3⋅Pa⋅K−1⋅mol−1

8.31446261815324 kg⋅m2·K−1⋅mol−1s−2