Mixed ConceptsMediumQuestion 5048
Question
The dimensions of the universal gas constant R are:
- A[ML²T⁻²K⁻¹mol⁻¹]Correct
- B[MLT⁻²K⁻¹]
- C[ML²T⁻²mol⁻¹]
- D[ML²T⁻¹K⁻¹mol⁻¹]
Correct answer
[ML²T⁻²K⁻¹mol⁻¹]
Explanation
From PV = nRT, R = PV/(nT). [P] = [ML⁻¹T⁻²], [V] = [L³], [n] = [mol], [T] = [K]. R = [ML⁻¹T⁻²·L³/(mol·K)] = [ML²T⁻²K⁻¹mol⁻¹].