Final answer:
The value of R given in the question is 0.0821 L atm/mol K, which is the correct constant to use when the pressure is in atmospheres, volume in liters, and temperature in kelvins.
Step-by-step explanation:
The value of R in the ideal gas equation is a constant that depends on the units used for pressure, volume, and temperature. In your question, the given value for R is 0.0821 L atm/mol K. This means that when using this constant, the pressure must be measured in atmospheres (atm), the volume in liters (L), and the temperature in kelvin (K). The correct value of R is option 1) 0.0821 L atm/mol K, as it contains all the appropriate units for pressure, volume, and temperature as provided in the question.