What mass of water would release 16700J of energy when freezing?

Answer 1

#"50.1 g H"_2"O"#

Your tool of choice here will be the enthalpy of fusion, #DeltaH_"fus"#, for water.
For a given substance, the enthalpy of fusion tells you how much heat is either needed to melt #"1 g"# of the substance at its melting point or given off to freeze #"1 g"# of the substance at its freezing point.

Water has an enthalpy of fusion equal to

#DeltaH_"fus" = "333.55 J"#
This tells you that when #"1 g"# of water goes from liquid at its freezing point to solid at its freezing point, #"333.55 J"# of heat are being given off.
In your case, you know that #"16,700 J"# of heat are being given off when a mass of water undergoes a liquid #-># solid phase change at #0^@"C"#.

Use the enthalpy change of fusion as a conversion factor to determine how many grams of liquid water would give off this much heat when freezing

#"16,700" color(red)(cancel(color(black)("J"))) * overbrace(("1 g H"_ 2"O")/(333.55 color(red)(cancel(color(black)("J")))))^(color(blue)(= DeltaH_"fus")) = color(green)(|bar(ul(color(white)(a/a)color(black)("50.1 g H"_2"O")color(white)(a/a)|)))#

The answer is rounded to three sig figs, the number of sig figs you have for the heat given off.

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Answer 2

Use the heat of fusion for water, which is 334 J/g, to find the mass. Mass = energy released / heat of fusion. In this case, it would be 16700 J / 334 J/g.

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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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