Suppose a new liquid were discovered that is identical to water in every way except that it has a lower latent heat of fusion. Would it take a longer or shorter time to make ice out of this liquid in your freezer? Why?

Shorter

It would take shorter to freeze the new liquid

Explanation:

Let the latent heat of fusion of the new liquid be Y and

Let the latent heat of fusion of water be Z

Where Z = 2×Y for example

Therefore, the heat lost to make ice from a given mass  of water is given by;

Heat loss = Mass of water, m × ΔH(latent) Water

= m × Z

The heat lost to make ice from equal mass of the new liquid is

= m × Y  = m × Z/2 = 0.5× m×Z

Therefore the heat required to be removed to make an equal mass of ice of the new liquid is half that of the heat removed to make an equal mass of ice.

Where the rate of heat extraction is A watts of A J/s we have;

Time required to freeze new liquid = 0.5 × time required to freeze water.

Hence it would take shorter to freeze the new liquid.

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