The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

calorie, abbr. cal, unit of heat energy in the metric system. The measurement of heat is called calorimetry. The calorie, or gram calorie, is the quantity of heat required to raise the temperature of 1 gram of pure water 1°C. The kilocalorie, or kilogram calorie, is the quantity of heat required to raise the temperature of 1 kg of pure water 1°C; it is equal to 1,000 cal. The kilocalorie is used in dietetics for stating the heat content of a food, i.e., the amount of heat energy that the food can yield as it passes through the body; in this context, the kilocalorie is usually called simply the calorie. The amount of heat energy needed to effect a 1°C temperature increase in 1 gram of water varies with temperature (see heat capacity); thus the temperature range over which the heating takes place must be stated to define the calorie precisely. The 15° calorie, or normal calorie, is widely used in chemistry and physics; it is measured by heating a 1-gram water sample from 14.5°C to 15.5°C at 1 atmosphere pressure. The 4° calorie, also called the small calorie or therm, is measured from 3.5°C to 4.5°C (water is most dense at 3.98°C); the large calorie, or Calorie, is equivalent to 1,000 small calories. The average value of the calorie in the range 0°C to 100°C is called the mean calorie; it is  1⁄100 of the energy needed to heat 1 gram of water from its melting point to its boiling point. The calorie may also be defined by expressing its value in some other energy units. The 15° calorie is equivalent to 4.185 joules (J), 1.162×10−6 kilowatt-hours, 3.968×10−3 British thermal units, and 3.087 foot-pounds; the 4° calorie equals 4.204 J; and the mean calorie equals 4.190 J. Two other calories sometimes used are the International Steam Table calorie, equal to 4.187 J, and the thermochemical calorie, equal to 4.184 J. When the calorie is used for precision measurement of heat energy, the particular calorie being used must be specified.

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See more Encyclopedia articles on: Physics

Heat

Heat Heat Capacity Specific Heat
Latent Heat Kinetic Molecular Theory

Heat

Heat is a way of transferring energy between a system and its surroundings that often, but not always, changes the temperature of the system. Heat is not conserved, it can be either created or destroyed. In the metric system, heat is measured in units of calories, which are defined as the amount of heat required to raise the temperature of one gram of water from 14.5oC to 15.5oC.

In the SI system, the unit of heat is the joule.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

Heat Capacity

The heat capacity of a substance is the amount of heat required to raise the temperature of a defined amount of pure substances by one degree (Celsius or Kelvin). The calorie was defined so that the heat capacity of water was equal to one.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

Specific Heat

The specific heat of a substance is the number of calories needed to raise the temperature of one gram by 1oC. Because one degree on the Celsius scale is equal to one Kelvin, specific heats in the metric system can be reported in units of either cal/g-oC or cal/g-K. The units of specific heat in the SI system are J/g-K. Because there are 4.184 joules in a calorie, the specific heat of water is 4.184 J/g-K.

The ease with which a substance gains or loses heat can also be described in terms of its molar heat capacity, which is the heat required to raise the temperature of one mole of the substance by either 1oC or 1 K. In the metric system, the units of molar heat capacities are therefore either cal/mol-oC or cal/mol-K. In the SI system the units of molar heat capacities are J/mol-K.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

Latent Heat

When ice is heated, the heat that initially enters the system is used to melt the ice. As the ice melts the temperature remains constant at 0oC. The amount of heat required to melt the icehas historically been called the latent heat of fusion. Once the ice has melted, the temperature of the water slowly increases from 0oC to 100oC. But once the water starts to boil, the heat that enters the sample is used to convert the liquid into a gas and the temperature of the sample remains constant until the liquid evaporates. The amount of heat required to boil, or vaporize, the liquid has historically been called the latent heat of vaporization.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

More than 200 years ago, Joseph Black distinguished between sensible heat and latent heat. Heat that raises the temperature of the system can be sensed, but heat that results in a change in the state of the system from solid to liquid or from liquid to gas is latent. Like the latent image on photograph film that hasn't been developed or latent fingerprints that can't be seen with the naked eye, latent heat is heat that enters the system without changing the temperature of the system.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

Heat and The Kinetic Molecular Theory

The system is the small portion of the universe in which we are interested, such as the water in a beaker or a gas trapped in a piston and cylinder, as shown in the figures below. The surroundings are everything elsein other words, the rest of the universe.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?
   
The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

The system and its surroundings are separated by a boundary. Heat is transferred across the boundary between a system and its surroundings.

One of the fundamental principles of the kinetic theory is the assumption that the average kinetic energy of a collection of gas particles depends on the temperature of the gas and nothing else. A gas becomes warmer if and only if the average kinetic energy of the gas particles increases. Heat, when it raises the temperature of a system, produces an increase in the speed with which the particles of the system move, as shown in the figure below.

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

The amount of heat required to raise the temperature of 1g of something by 1 c, is called what?

First...What is the difference between HEAT and TEMPERATURE?

 

Specific Heat Capacity (C or S ) - The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity of the substance. The quantity of heat is frequently measured in units of Joules(J). Another property, the specific heat, is the heat capacity of the substance per gram of the substance. The specific heat of water is 4.18 J/g° C.

 

Substance C (J/g oC)

 Air

 1.01
 Aluminum 0.902
 Copper 0.385
 Gold 0.129
 Iron 0.450
 Mercury 0.140
 NaCl 0.864
 Ice 2.03
 Water 4.18
  

q = m x C x DT

q = m x C x (Tf - Ti)

q = amount of heat energy gained or lost by substance

m = mass of sample

C = heat capacity (J oC-1 g-1 or J K-1 g-1)
Tf = final temperature
Ti = initial temperature

Specific Heat Instructional Videos

 

 Solving for Heat

Solving for Mass
 Solving for Specific Heat
 Solving for Final Temperature

College Level Specific Heat Calculations

Solving for the Specific Heat of a Metal that is dropped in water.

A 245.7g sample of metal at 75.2 degrees Celsius was placed in 115.43g water at 22.6 degrees Celsius. The final temperature of the water and metal was 34.6 Celsius. If no heat was lost to the surroundings what is the specific heat of the metal?

Highlight Answer Below

-qmetal=qwater
 -(mCDT)=mCDT-(mC(Tf-Ti))=  mC(Tf-Ti)

- (245.7g x C x (34.6oC-75.2oC))=  115.43g(4.18J/goC)(34.6oC-22.6oC)

C x (9975goC)=5790J

0.580J/goC =C

 Solving for the Final Temperature when Metal is dropped in water.

Determine the final temperature when a 25.0g piece of iron at 85.0°C is placed into 75.0grams of water at 20.0°C. The specific heat of iron is 0.450 J/g°C. The specific heat of water is 4.18 J/g°C.

Highlight Answer Below

-qmetal=qwater
 -(mCDT)=mCDT
-(mC(Tf-Ti))=  mC(Tf-Ti)

-(25.0g(0.450J/goC)(Tf-85.0oC))=75.0g(4.18J/goC)(Tf-20.0oC)

956.25-11.25Tf=313.5Tf-6270

7226.25=324.75Tf

7226.25/324.75=Tf

 22.3oC=Tf

 Solving for Final Temperature when Ice is added to water
What is the final temperature after a 21.5 gram piece of ice at 0 is placed into a Styrofoam cup with 125.0 grams of water initially at 76.5oC? Assume no loss or gain of heat from the surroundings.

Highlight Answer Below

energy to melt the ice                energy to bring the water to 0oC

q=mHf                                vs.                          q=mCDT
                       q=21.5 x 334j/g=7181J                                       q=125.0g (4.18J/goC)(76.5oC) =39,971J 

The ice will melt, so the letft over energy is

39,971J  - 7181J= 32,790J

Reapply to q=mCDT, combine the mass of ice and water, assuming we are at a temp. of 0oC.32,790J= 114.65g(4.18j/gC)(Tf-0)32,790J/(114.65g(4.18j/gC))=Tf

53.5oC=Tf

More High School Examples

Highlight Answer Box to reveal answers

Sample QuestionsAnswers
1. Calculate the amount of heat needed to increase the temperature of 250g of water from 20oC to 46oC.q = m x C x DT

q = 250g x 4.18J/goC x 26oC 

q = 37,620J or 38kJ

2. Calculate the specific heat capacity of copper given that 204.75 J of energy raises the temperature of 15g of copper from 25o to 60o.q = m x C x DT

C= q/m x DT

C = 204.75J /(15g x 35oC )

C= 0.39 J/goC

3. 216 J of energy is required to raise the temperature of aluminum from 15o to 35oC. Calculate the mass of aluminum.
(Specific Heat Capacity of aluminum is 0.90 JoC-1g-1).
q = m x C x DT

m= q/C  x DT

m= 216J/(0.90J/goC x 20oC )

m= 12g

4. The initial temperature of 150g of ethanol was 22oC. What will be the final temperature of the ethanol if 3240 J was needed to raise the temperature of the ethanol?
(Specific heat capacity of ethanol is 2.44 JoC-1g-1).
q = m x C x DT

DT =  q/m x C

DT = 3240J/(150g x 2.44J/goC)

DT = 8.85oC

Tfinal= 22oC +8.85oC= 30.9oC

Even More Practice Questions

QuestionHighlight to reveal answers
1. The temperature of a piece of Metal X with a mass of 95.4g increases from 25.0°C to 48.0°C as the metal absorbs 849 J of heat. What is the specific heat of Metal X? Answer: 849 J /(95.4g x 23.0°C)

0.387 J/g°C

2. When 435 J of heat is added to 3.4 g of olive oil at 21°C, the temperature increases to 85°C. What is the specific heat of the olive oil? Answer: 435 J/(3.4g x 64°C)

2.0 J/g°C

3. A piece of stainless steel with a mass of 1.55 g absorbs 141 J of heat when its temperature increases by 178°C. What is the specific heat of the stainless steel? Answer: 141 J/(1.55 g x 178°C)

0.511 J/g°C

4. How much heat is required to raise the temperature of 250.0 g of mercury by 52°C? Answer: 250.0 g x 0.140 J/g°C x 52°C

1800 J

6. How many kilojoules of heat are absorbed when 1.00 L of water is heated from 18°C to 85°C?  (Hint: You first need to determine the mass of the water, then calculate q in the requested unit.)Answer: 1.00kg x 4.18  J/g°C x 67°C

 280 kJ

7. A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal? Answer:1100 J/(100.0 g x 0.902J/g°C)=12.2°C + 20°C= 32.2°C
8. An unknown metal has a mass of 18.0 g. If the temperature of the metal sample rises from 15.0°C to 40.0°C as the sample absorbs 89.0 J of heat, what is the specific heat of the sample? Now look at your periodic table and choose a metal that is most likely the identity of the sample. Answer: 89.0 J/(18.0 g x 25.0°C)

specific heat = 0.199 J/g°C