Choose the graph that best represents the following:
Temperature of lukewarm water (Y) after placing in the freezer as a function of time (X).
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Choose the graph that best represents the following:
Temperature of lukewarm water (Y) after placing in the freezer as a function of time (X).
Since the freezing point of water is below 0, the temperature of the water must drop below 0.
The graph in answer B describes a decreasing function and therefore this is the correct answer.
Does the function in the graph decrease throughout?
Temperature change depends on the temperature difference between the water and freezer. When the difference is large (hot water), cooling is fast. As the water gets closer to freezer temperature, cooling slows down - creating a curved graph, not a straight line.
Lukewarm water starts at a moderate temperature above room temperature (around 30-40°C). This means the graph should begin well above the freezer temperature and curve downward.
Think about the process: water in a freezer gets colder over time. So temperature (Y-axis) must decrease as time (X-axis) increases. The curve slopes downward from left to right.
The water temperature approaches the freezer temperature (usually around -18°C), not absolute zero. Once frozen, the ice temperature stays close to the freezer temperature.
Focus on two key features: 1) Does it curve downward (exponential decay)? 2) Does it start high and end low? Only one graph will have both characteristics matching the cooling process.
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