Mixed ConceptsHardQuestion 5056
Question
The Van der Waals equation is (P + a/V²)(V − b) = RT. The dimensions of 'a' are:
- A[ML⁵T⁻²]Correct
- B[ML⁻¹T⁻²]
- C[ML²T⁻²]
- D[M⁰L⁶T⁻²]
Correct answer
[ML⁵T⁻²]
Explanation
Since a/V² must have dimensions of pressure [ML⁻¹T⁻²], and [V²] = [L⁶], we get [a] = [ML⁻¹T⁻²][L⁶] = [ML⁵T⁻²].