Question

Energy released in a chemical reaction is
given as E = aT^2 + bT, where "T" is the
time. Determine the dimensions of "b".​

Answer 1

The dimensional formula of b is [ML²T⁻³]

• In additions of various quantities the quantities can be added if only they have same dimensions
• The dimensional formula of the resulting value should also be the same as the adding quantities
• The dimensional formula of the energy is  [ ML²T⁻²]
• The dimensions of bT should be equal to dimensions of energy from the above given equation

                 [b][T] = [E]

                 [b][T] = [ ML²T⁻²]

                 [b] = [ML²T⁻³]

• The dimensions of b is  [ML²T⁻³]