Mixed ConceptsHardQuestion 5056
Question
In a model, P + a/V² is a pressure term and V is a volume. What are the dimensions of a?
- A[ML⁵T⁻²]Correct
- B[ML⁻¹T⁻²]
- C[ML²T⁻²]
- D[M⁰L⁶T⁻²]
Correct answer
[ML⁵T⁻²]
Explanation
Both terms must have pressure dimensions. Therefore [a] = [P][V]² = [ML⁻¹T⁻²][L⁶] = [ML⁵T⁻²].