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Key Idea: The amount of thermal energy an object has depends on the temperature and the mass of the object and the material of which the object is made.

Students should know that:

  1. Every object, regardless of whether it is a solid, a liquid, or a gas, and regardless of whether it feels warm or cold to the touch, has some thermal energy even if the object’s temperature is very low.
  2. The amount of thermal energy an object has depends on the temperature and the mass of the object and the material of which the object is made, and the amount of thermal energy an object has depends on these three factors alone (assuming constant pressure). 
  3. For objects that are made of the same material and have the same mass, the object with the highest temperature has the most thermal energy and the object with the lowest temperature has the least thermal energy.
  4. For objects that are made of the same material and at the same temperature, the object with the greatest mass has the most thermal energy and the object with the least mass has the least thermal energy.
  5. Objects that are made of different materials may have different amounts of thermal energy even if they have the same mass and temperature.

 

Boundaries:

  1. In assessment items, students are expected to compare relative temperature and masses to determine relative amounts of thermal energy. Assessment items do not ask students to use formulas, such as 3/2 kT and m(ΔT)c, to calculate thermal energy.
  2. Items do not assess the idea that heat capacity is a measure of how much the temperature of an object will increase with the addition of a given amount of thermal energy, or why an object could feel colder than other objects at the same temperature. 
  3. Items do not assess students’ knowledge of which specific types of materials have more thermal energy than others.  Students are only expected to know that equal amounts of different materials may have different amounts of thermal energy.
  4. In assessment items, the temperature changes are limited to those that do not involve changes of state.
  5. Assessment items may use either Fahrenheit (ºF) or Celsius (ºC) as the units of temperature.
  6. The idea that temperature is independent of mass is covered under a different idea (Temperature is not a characteristic property of substances).
  7. Students are not expected to know the difference between “weight” and “mass.”  The words “weight” or “weigh” are used as substitutes for “mass” in situations where such substitutions do not make any difference. When two objects are compared, they are in the same gravitational system.
Percent of students answering correctly (click on the item ID number to view the item and additional data)
Item ID
Number
Knowledge Being Assessed Grades
4–5
Grades
6–8
Grades
9–12
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EG033004

For two balls that are made out of the same material and weigh the same, the ball with more thermal energy is at a higher temperature.

58%

50%

66%

EG031004

For two ice cubes of the same mass, the ice cube with the higher temperature has more thermal energy than the ice cube with the lower temperature.

51%

56%

59%

EG038004

All things have thermal energy, not just warm things, hot things, and things that are not frozen.

25%

55%

62%

EG084002

For two glasses containing water at the same temperature, the glass with more water has more thermal energy than the glass with less water.

49%

39%

38%

EG060001

The thermal energy of an object depends on the temperature of the object, the mass of the object, and the material it is made of.

29%

39%

44%

EG061004

For two ice cubes at the same temperature, the ice cube with the smaller mass has less thermal energy.

43%

43%

34%

EG032003

For two objects that are made out of the same material and are at the same temperature, the object that weighs less has less thermal energy.

36%

30%

28%

EG083002

A living person, a living plant, a dead plant, and a penny all have thermal energy.

14%

31%

38%

EG027004

For two wooden blocks that are at the same temperature, the block that weighs more has more thermal energy.

34%

24%

25%

EG062003

A living person, a dead plant, and a penny all have thermal energy.

16%

23%

32%

Frequency of selecting a misconception

Misconception
ID Number

Student Misconception

Grades
4–5

Grades
6–8

Grades
9–12

EGM025

Things that were once living but are now dead do not have thermal energy (Herrmann-Abell & DeBoer, 2010).

75%

61%

50%

EGM019

Thermal energy only depends on the temperature of the object and does not depend on the mass of the object or the material that makes up the object (Herrmann-Abell & DeBoer, 2009).

27%

42%

44%

EGM049

Inanimate objects do not have any thermal energy (Herrmann-Abell & DeBoer, 2010).

37%

33%

28%

EGM030

The thermal energy of an object is not related to the material the object is made of (Herrmann-Abell & DeBoer, 2009).

51%

41%

40%

EGM022

Objects at 0ºF/0ºC do not have any thermal energy (AAAS Project 2061, n.d.).

22%

17%

14%

EGM058

The thermal energy of an object is not related to the temperature of the object (AAAS Project2061, 2008).

14%

14%

15%

EGM059

Only very hot things like the sun have thermal energy (AAAS Project 2061, n.d.).

31%

12%

7%

EGM021

Cold/frozen objects do not have any thermal energy (AAAS Project 2061, n.d.).

15%

13%

12%

EGM020

The thermal energy of an object is not related to the mass of the object (Wiser, 1986; Herrmann-Abell & DeBoer, 2009).

28%

32%

34%

EGM072

The amount of thermal energy an object has decreases as the temperature of the object increases.

15%

12%

9%

RGM106

When comparing two objects at the same temperature the smaller object has more thermal energy.

20%

16%

15%

Frequency of selecting a misconception was calculated by dividing the total number of times a misconception was chosen by the number of times it could have been chosen, averaged over the number of students answering the questions within this particular idea.