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Latent heat of water is the heat required to change its state at a particular temperature BECAUSE of the pressure at which the water is at at the point of fusion or evaporation.

The latent heat is not affected by temperature (in fact there is no temperature change during absorption of latent heat) it is affected by the pressure acting on a substance. As the pressure increases, the latent heat (of evaporation) decreases, consequently with the change in pressure there is also a different temperature at which the evaporation takes effect, higher pressure, higher temperature at the evaporation point.

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Q: How does specific latent heat of water vary with temperature?
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