A relation of distance with time is given as d = 25(1-exp(-0.021t)) µm where d is in microns and t in seconds. What is the relation if d is in inches and t in minutes?(a) 25(1-exp(-0.021t)) in(b) 1.64(1-exp(0.26t)) in(c) 3.84(1-exp(0.26t)) in(d) 9.84(1-exp(1.26t)) inThe question was posed to me in an interview.Question is taken from Dimensional Consistency in section Introductory Concepts of Chemical Process Calculation

A relation of distance with time is given as d = 25(1-exp(-0.021t)) µ

1.	A relation of distance with time is given as d = 25(1-exp(-0.021t)) µm where d is in microns and t in seconds. What is the relation if d is in inches and t in minutes?(a) 25(1-exp(-0.021t)) in(b) 1.64(1-exp(0.26t)) in(c) 3.84(1-exp(0.26t)) in(d) 9.84(1-exp(1.26t)) inThe question was posed to me in an interview.Question is taken from Dimensional Consistency in section Introductory Concepts of Chemical Process Calculation
Answer» The CORRECT choice is (d) 9.84(1-exp(1.26t)) in Explanation: Each term in an equation MUST have same DIMENSIONS and UNITS as every other term to which it is added or subtracted or equated.

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