Question Bank • QB_APE_EXP_021 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Evaporation and Drying

Subtopic: Drying kinetics

Question Statement:

In a falling rate drying period governed by Henderson-Pabis model $MR = a \exp(-k t)$, at $t = 0$, $MR = 1.0$. If $k = 0.40\text{ h}^{-1}$, the time in hours required for the moisture ratio to drop to $MR = 0.10$ is ________ (round off to 2 decimal places).

Answer Key:

5.76

Step-by-Step Solution & Explanation

Given $MR = \exp(-k t)$ with $a = 1.0$: $0.10 = \exp(-0.40 t)$ $\ln(0.10) = -0.40 t$ $-2.302585 = -0.40 t$ $t = \frac{2.302585}{0.40} \approx 5.756\text{ hours} \approx 5.76\text{ hours}$
← Previous (QB_APE_EXP_017) Next (QB_APE_EXP_102) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test