Allied & ICAR Exam Bank • ALLIED_0592 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Engineering Properties of Grains

Subtopic: Engineering Properties of Grains

Question Statement:

A bulk grain bed has thermal conductivity $k = 0.15\text{ W/(m}\cdot\text{K)}$, bulk density $\rho = 750\text{ kg/m}^3$, and specific heat $c_p = 2000\text{ J/(kg}\cdot\text{K)}$. Thermal diffusivity $\alpha = \frac{0.15}{1.5 \times 10^6}$ in $\text{m}^2/\text{s}$ is $1.0 \times 10^{-7}$. Expressing $\alpha \times 10^7$ as a dimensionless number, it equals:

Answer Key:

1.0

Step-by-Step Solution & Explanation

$\alpha = 1.0 \times 10^{-7}\text{ m}^2/\text{s}$, so $\alpha \times 10^7 = 1.0$.
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