Question Bank • QB_EXP_APE_TRM_001 NAT • 1 Mark

Section 6: Agricultural Process Engineering

Thermal, Optical & Electrical Properties of Grains

Subtopic: Siebel equation for specific heat

Question Statement:

Using Siebel's equation $c_p = 0.837 + 0.0335 M$, where $M$ is moisture content in percent wet basis and $c_p$ is specific heat in $\text{kJ/(kg}\,\text{K)}$, the specific heat of wheat grain at $M = 15.5\%$ wet basis is ________ $\text{kJ/(kg}\,\text{K)}$ (round off to two decimal places).

Answer Key:

1.36

Step-by-Step Solution & Explanation

Substituting $M = 15.5\%$ into Siebel's equation: $c_p = 0.837 + 0.0335 (15.5) = 0.837 + 0.5192 = 1.356\text{ kJ/(kg}\,\text{K)}$ Rounding to two decimal places: $1.36\text{ kJ/(kg}\,\text{K)}$.
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