Question Bank • QB_EXP_APE_PSY_039 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Psychrometry & Moist Air Thermodynamics

Subtopic: Sensible heating process on psychrometric chart

Question Statement:

In an electric air heater for seed drying, ambient air at $22^\circ\text{C}$ is heated along the shown path to $45^\circ\text{C}$. If the air mass flow is $3.5\text{ kg/s}$ and $c_s = 1.025\text{ kJ/(kg}\cdot\text{K)}$, compute the electrical power consumed by the heater in $\text{kW}$, assuming an efficiency of $95\%$ (round off to one decimal place).

Answer Key:

86.8

Step-by-Step Solution & Explanation

Heat delivered $Q = m_a c_s \Delta T = 3.5 \times 1.025 \times (45 - 22) = 3.5 \times 1.025 \times 23 = 82.5125\text{ kW}$. Power input $P = \frac{Q}{\eta} = \frac{82.5125}{0.95} \approx 86.85\text{ kW}$.
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