How much heat must be removed to freeze a tray of ice cubes at 0 C if the water has a mass of 225 g?

Answer 1

Well, if the tray itself has a negligible heat capacity...

...then we ignore it and focus on the ice, which has an unstated enthalpy of fusion of #"6.02 kJ/mol"#. (You should be supplying the data here...)

Hence, the amount of heat that is released at constant pressure is:

#color(blue)(|q_"removed"|) = "6.02 kJ"/cancel"mol" xx cancel"1 mol"/(18.015 cancel"g water") xx 225 cancel"g" = color(blue)"75.2 kJ"#
At constant pressure, #q = DeltaH#. What is the enthalpy change for this process in #"kJ"#?

HINT: read the question wording again. Which direction is the heat flowing, and is the ice the system or surroundings?

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Answer 2

The amount of heat qq required to freeze a substance can be calculated using the equation:

q=mΔHfq = m \cdot \Delta H_f

Where:

  • qq is the heat absorbed or released (in joules)
  • mm is the mass of the substance (in grams)
  • ΔHf\Delta H_f is the heat of fusion (in joules per gram)

For water, the heat of fusion is 334J/g334 \, \text{J/g}.

Given that the mass of water is 225g225 \, \text{g}, and assuming the temperature change is from 0C0^\circ \text{C} to 0C0^\circ \text{C} during freezing, the heat required is:

q=225g×334J/g=75150Jq = 225 \, \text{g} \times 334 \, \text{J/g} = 75150 \, \text{J}

So, 75150J75150 \, \text{J} of heat must be removed to freeze the tray of ice cubes.

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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.

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.

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.

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.

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