Specific Heat, Heat of Fusion and Why Alcohol Makes Ice Melt

Bar Fundamentals, Ice Techniques, Production and Science

Specific Heat, Heat of Fusion and Why Alcohol Makes Ice Melt

Ice carries 80 calories of chilling power per gram, which is why it beats almost everything else at the bar. Dave Arnold explains specific heat, heat of fusion, and why ice melts in a martini, the same logic as salt on ice for ice cream.

  • Based onLiquid Intelligence by Dave Arnold

At a glance

Ice carries 80 calories of chilling power per gram, which is why it beats almost everything else at the bar. Dave Arnold explains specific heat, heat of fusion, and why ice melts in a martini, the same logic as salt on ice for ice cream.

  1. Water needs 1 calorie per gram per degree, ice 0.5 and alcohol 0.6, and melting ice absorbs about 80 calories per gram.
  2. Gram for gram, liquid nitrogen at minus 196 C has only about 15 percent more chilling power than ice at 0 C.
  3. Alcohol or salt makes the liquid more disordered, so entropy wins and ice keeps melting below 0 C.

Specific heat

Different substances need different amounts of heat to change temperature, a property called specific heat: the energy needed to warm 1 gram of something by 1 degree Celsius. Dave Arnold uses calories, an outdated scientific unit (the joule is preferred), because they tie directly to temperatures and weights a cook or bartender can picture. Food calories are really kilocalories, 1,000 of these calories.

  • Water: a convenient 1 calorie per gram per degree.
  • Ice: half that, 0.5 calories per gram per degree. Unless it is melting or freezing, ice can deliver only half the heating or cooling power of the same weight of water.
  • Pure alcohol: 0.6 calories per gram per degree.
  • Cocktails: water-alcohol mixtures are non-linear, so a cocktail actually needs more energy to warm or cool than either water or alcohol alone. Weird, he says.

Heat of fusion

To melt ice you must add heat. The amount needed is the heat of fusion (enthalpy of fusion), and it works both ways: freezing gives off the same heat that melting takes in. For water it is about 80 calories per gram. That is enough to warm 1 gram of water from 0 to 80 degrees C, or to chill 4 grams of water from room temperature (20 degrees C) all the way to 0.

We take ice for granted, but it is a miraculous substance.

Gram for gram, liquid nitrogen at -196 degrees C has only about 15 percent more chilling power than ice at 0 degrees C. That explains why people new to the technology always underestimate how much liquid nitrogen a project needs.

The freezing point as a balance

The surface of an ice cube in water is never static: molecules are constantly freezing onto it and melting off. If more stick than leave, the ice is freezing; if more leave, it is melting. At 0 degrees C they are in equilibrium. Lower the temperature and the entropy gain from melting becomes small, so water freezes; raise it and the entropy gain beats the heat cost of melting, so ice melts. The freezing point is where the two exactly balance.

What alcohol changes

Take a stirred martini that has just reached 0 degrees C, with ice at 0 degrees and a water-booze mix at 0 degrees. When ice melts into the drink it absorbs the same heat as it would melting into pure water, because it is still pure ice. The entropy change is different: a water-and-alcohol mixture is more disordered than water alone, since there are more ways to arrange water and alcohol molecules than identical water molecules. More available microstates means entropy wins again, and entropy winning means ice melts.

Melting ice absorbs heat and chills the drink below 0 degrees C. With no outside heat source, the heat is drawn from the system itself, so both drink and ice go below 0. As the ice melts and the gin dilutes, the entropy advantage shrinks until a new balance is reached: that balance point is the martini’s new freezing temperature.

The same argument explains why salt added to ice can drop the temperature enough to freeze ice cream. Most children are told only that salt lowers the freezing point of water, which he calls weak; the real reason is the entropy balance above.

Quotations

In the author's words

  • We take ice for granted, but it is a miraculous substance.

    Page 78

Sources

Where this comes from

Written for this guide from the Fundamental Law section of the Ice chapter of Liquid Intelligence by Dave Arnold (pages 78 and 79); the facts and the figures are the author's, the wording is ours, and the quotation is given with its page.

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