To convert the value of R from units of L atm mol⁻¹ K⁻¹ to J mol⁻¹ K⁻¹, we use the appropriate conversion factors to obtain the value of 8.314 J mol⁻¹ K⁻¹.
To convert the value of R from units of L atm mol⁻¹ K⁻¹ to J mol⁻¹ K⁻¹, we need to use the appropriate conversion factors.
First, we can start with the given value for R: 0.0721 L atm mol⁻¹ K⁻¹.
To convert atm to Pa (Pascals), we need to use the conversion factor 1 atm = 101325 Pa.
Next, to convert L to m³, we use the conversion factor 1 L = 0.001 m³.
To convert J to L atm, we can use the conversion factor 1 J = 0.1013 L atm.
Finally, we multiply all the conversion factors together:
0.0721 L atm mol⁻¹ K⁻¹
x (101325 Pa / 1 atm)
x (0.001 m³ / 1 L)
x (1 J / 0.1013 L atm)
By canceling out the appropriate units, we can simplify the calculation:
0.0721 L atm mol⁻¹ K⁻¹
x (101325 Pa / 1 atm)
x (0.001 m³ / 1 L)
x (1 J / 0.1013 L atm)
= 8.314 J mol⁻¹ K⁻¹
Therefore, the value of R in units of J mol⁻¹ K⁻¹ is 8.314 J mol⁻¹ K⁻¹.