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I believe the one that is most often used is the 8.314 J.K^-1.mol^-1 one. However, each constant will be on the constants and equations sheet for the midterms/tests, so just pay attention to your units and which ones you need to cancel out, and you'll know which gas constant to use.
The 8.314 J*mol^-1 *K^-1 would be the R value that you need to calculate the w in that equation. If you need to convert units, 101.325 J= 1L*atm. Thus R also equals 0.082057 L*atm* mol^-1 *K^-1, which is the R value used In the ideal gas law.
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