Question

In SI unit, one ton of refrigeration is equivalent to _______

• A. 3.5 kW
• B. 4.5 kW
• C. 1 kW
• D. 2.5 kW

Hint:

In imperial units, \(1\text{ TR}\) is equivalent to \(200\text{ BTU/min}\) or \(12,000\text{ BTU/hour}\).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
A Ton of Refrigeration (TR) is a unit of power used to describe the heat-extraction capacity of refrigeration and air conditioning equipment.
Key Formula or Approach:
One Ton of Refrigeration is defined as the rate of heat transfer required to freeze \(1\text{ short ton}\) (\(2,000\text{ lbs}\) or \(907.18\text{ kg}\)) of water at \(0 ^\circ\text{C}\) into ice at \(0 ^\circ\text{C}\) in \(24\text{ hours}\).
Using the latent heat of fusion of ice (\(333.5\text{ kJ/kg}\)): \[ Q = \frac{907.18\text{ kg} \times 333.5\text{ kJ/kg}}{24\text{ hours} \times 3600\text{ s/hour}} \] \[ Q \approx 3.517\text{ kJ/s} = 3.517\text{ kW} \]

Step 2: Detailed Explanation:
In the SI system, energy flow is expressed in Watts (\(\text{W}\)) or kiloWatts (\(\text{kW}\)).
The calculated heat-extraction rate of \(3.517\text{ kW}\) is typically rounded to \(3.5\text{ kW}\) in standard engineering practice.

Step 3: Final Answer:
Therefore, one ton of refrigeration is equivalent to \(3.5\text{ kW}\).