Question Bank • QB_DFE_EXP_043 NAT • 1 Mark

Section 7: Dairy and Food Engineering

Preservation of Food

Subtopic: Refrigeration and cold storage basics and applications

Question Statement:

One Ton of Refrigeration ($1\text{ TR}$) is defined as the rate of heat extraction required to freeze $1\text{ US short ton}$ ($2000\text{ lb}$) of water at $0^\circ\text{C}$ into ice at $0^\circ\text{C}$ in 24 hours. The equivalent value of $1\text{ TR}$ in kilowatts ($\text{kW}$) is ________ (round off to 3 decimal places).

Answer Key:

3.517

Step-by-Step Solution & Explanation

$1\text{ TR} = \frac{2000\text{ lb} \times 144\text{ Btu/lb}}{24\text{ h}} = 12,000\text{ Btu/h}$ Converting to SI units ($1\text{ Btu} = 1055.056\text{ J}$): $1\text{ TR} = \frac{12,000 \times 1055.056\text{ J}}{3600\text{ s}} = 3516.85\text{ W} \approx 3.517\text{ kW}$
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