An industrial refrigeration plant is rated at 800 tons of refrigeration How many kilograms of ice at 0^circ C can it make from pure water at 0^circ C over one week?

Here's how to calculate the amount of ice an 800-ton refrigeration plant can produce in a week:<br /><br />**1. Understand the units:**<br /><br />* **Ton of refrigeration:** A ton of refrigeration is the amount of heat removal required to freeze one ton (2000 lbs or 907.185 kg) of water at 0°C into ice at 0°C in 24 hours. It's equivalent to 12,000 BTU/hour or 3.517 kW.<br /><br />* **Week:** A week is equal to 7 days or 7 * 24 = 168 hours.<br /><br />**2. Calculate the total refrigeration capacity over a week:**<br /><br />* The plant has a capacity of 800 tons of refrigeration.<br />* Over a week, its capacity is 800 tons * 168 hours = 134,400 ton-hours.<br /><br />**3. Convert ton-hours to kilograms of ice:**<br /><br />* Since 1 ton of refrigeration freezes 907.185 kg of water in 24 hours (or 1 ton-hour freezes 907.185 kg / 24 hours = 37.8 kg of ice), then:<br />* 134,400 ton-hours will freeze 134,400 ton-hours * 37.8 kg/ton-hour = 5,080,320 kg of ice.<br /><br />**Answer:** The industrial refrigeration plant can make 5,080,320 kg of ice at 0°C from pure water at 0°C over one week.<br />