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Given the following, how many degrees must the temperature drop for the antifreeze to turn to ice?

Ocean water freezes at about -2 °C. Fresh water freezes at 0 °C. Antifreeze, a liquid used to cool most car engines, freezes at-64°C. Imagine that the temperature is exactly at the freezing point for ocean water.

Answer 1

Cameron Andrews

The temperature must drop by 62 °C.

The temperature drop, #ΔT# is the difference between the final and initial temperatures

#color(blue)(bar(ul(|color(white)(a/a) ΔT = T_"f" - T_"i"color(white)(a/a)|)))" "#

#T_"f" = "-64 °C"# #T_"i" = color(white)(ll)"-2 °C"#

∴ #ΔT = "-64 °C - (-2 °C)" = "-64 °C + 2 °C" = "-62 °C"#

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Answer 2

Cooper Adams

The freezing point of the antifreeze solution, which is usually supplied by the manufacturer or can be located in reference materials, is necessary to calculate the temperature drop needed for the antifreeze to turn into ice. The freezing point of the antifreeze is then subtracted from the freezing point of water, which is zero degrees Celsius, or thirty-two degrees Fahrenheit.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.