It takes a particular amount of heat energy or thermal energy to rotate ice into water and also water right into steam.

You are watching: To melt 50 grams of 0 degree celsius ice requires

When you warm a material, girlfriend are including thermal kinetic energy to that molecules and usually elevating its temperature. The only exception is when the material reaches that is melting allude or boil point. In ~ those 2 temperatures, the heat power goes into changing the state or step of the material. After the state has actually changed, the temperature will increase again with included thermal energy.

The price temperature alters is the details heat that the material. The lot of energy required come melt the product is dubbed the latent warm of melting. This all deserve to be shown in showing exactly how much heat is compelled to readjust ice into water and then adjust the water into steam.

Questions girlfriend may have include:

What devices of measurement are used in turning ice into steam? just how is details heat used? how is latent warm used?

This lesson will certainly answer those questions. Advantageous tool: systems Conversion


Units of measurement

Since we room measuring the lot of heat forced to make these changes, we require to know the interpretations of the various units involved.

Heat transfer

Heat is the complete kinetic power of all the molecule in one object. Although power is frequently measured in joules, a much more common unit for warmth is the calorie, which is identified as the amount of heat forced to adjust the temperature that 1 gram that water through 1 Celsius degree. There is a conversion factor to called joules to calories, yet we won"t worry around that here.

Note: Calories are abbreviated as cal and grams as g. Also, oC means degrees Celsius.

In the English measure system, they usage the BTU (British thermal unit), which is the quantity of heat required to change the temperature that 1 lb of water by 1 Fahrenheit degree. The BTU is viewed in the unified States as soon as referring come the capacity of a furnace.

Specific heat

Materials vary in their volume to keep thermal energy. For example, a material like stole will heat up much much faster than water or wood. The measurement of just how much warmth is compelled to adjust the temperature that a unit fixed of a problem by 1 level is called its specific heat.

There space charts obtainable listing the particular heat of various materials. The chart listed below shows the certain heat that ice, water and heavy steam in systems of calorie every gram-degree Celsius.

(Note the all items are provided with the same variety of decimal points. That shows the exact same accuracy because that each. Also, the zero in former of the decimal allude assures the the leader will know it is a decimal suggest and no a fly speck.)

State the water Specific warm in cal/g-oC

Ice

0.50

Water

1.00

Steam

0.48

Specific warm of various states of water

In other words, it would take twice as plenty of calories to heat some water one level than it would certainly to heat the very same mass of ice one degree.

Latent heat

When any type of material is heated come the temperature wherein it alters state, the temperature will continue to be the exact same until all the material transforms state. That method ice water will continue to be at 0oC (32oF) till all the ice is melted. The same thing uses when cooling the materials.

The reason is that energy must be expended to adjust the state indigenous solid to fluid or from fluid to gas. Likewise, energy must it is in withdrawn to readjust the state as soon as cooling the material. The quantity of power required is speak to the latent heat of freezing or boiling. The chart listed below shows the latent warm or power required to readjust the says of water.

Change the state the water Latent heat in cal/g

Melting / Freezing

80

Boiling / Condensation

540

Latent heat required to change state the water

Problem

A great way to recognize the principles is to resolve a problem.

Suppose we have 50g of ice at -10oC. We want to heat the product until the all transforms to heavy steam at 110oC. How much warm is required?

With a difficulty that is complex like this one, the is an excellent to break it down right into pieces and also solve each part individually. This also helps to describe the logic used in the solution.

1. Heating ice

exactly how much heat would be forced to progressive 50g of ice to its melt point?

The ice cream temperature must be elevated 10 levels to reach 0oC.

Since the certain heat of ice is 0.50 cal/g-oC, that way that 0.50 calorie is essential to raise 1g of ice 1oC. Thus, it would take 50 x 0.50 calorie to raise 50g increase 1oC and also 10 x 50 x 0.50 = 250 cal come raise the ice to its melt point.

2. Melt ice

just how much heat would be forced to melt the 50g the ice?

The latent warm for melting ice cream is 80 cal/g. That way that 1g of ice requires 80 cal of warmth to melt.

Thus, 50g needs 50 x 80 = 4000 cal come melt.

3. Heater water

exactly how much heat is compelled to warm 50g of water from 0oC to its boiling point of 100oC?

Since the details heat of water is 1.00 cal/g-oC, that method that 1.00 calorie is required to advanced 1g that water 1oC. Thus, it would certainly take 50 x 1.00 calorie to progressive 50g up 1oC and also 100 x 50 x 1.00 = 5000 cal to raise the water to its boiling point.

4. Cook water

how much heat would be compelled to cook the 50g that water?

The latent warm for boiling water is 540 cal/g. That means that 1g that water requires 540 cal of heat to boil.

Thus, 50g requires 50 x 540 = 27000 cal come boil.

5. Heater steam

just how much warmth is compelled to heat 50g of heavy steam from 100oC come 110oC?

Since the specific heat of vapor is 0.48 cal/g-oC, that way that 0.48 calorie are required to advanced 1g increase 1oC. Thus, it would certainly take 50 x 0.48 calorie to raise 50g of steam 1oC and also 10 x 50 x 0.48 = 240 cal come raise the temperature the the steam to 110oC.

6. Total

The full heat required to readjust 50g of ice cream at -10oC to steam at 110oC is:

250 + 4000 + 5000 + 27000 + 240 = 36490 cal.

Summary

Heating products like ice, water and heavy steam increases your temperature. The particular heat that the product determines the calories required to heat one unit of fixed one degree.

transforming the state of the material requires extra heat power that is not supplied to change the temperature. The quantity of heat compelled to adjust the state the the product is called its implicitly heat. The facility problem of determining how much heat is compelled to readjust ice into water and then adjust the water into vapor should be damaged into parts and solved individually.

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Resources and also references

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